--- name: browser-history-acset-28aeea83707f description: Browser History ACSet version: 1.0.0 --- # Browser History ACSet **Trit**: 0 (ERGODIC - information coordination) **Foundation**: PyACSet ↔ ACSets.jl path equivalence verified ## Overview Unified categorical structure for browser history across: - ChatGPT Atlas (Chromium-based) - Chrome, Arc, Brave, Firefox, Safari Uses GF(3) trit classification for browsing behavior analysis. ## Schema ``` ┌─────────────────────────────────────────────────────────────┐ │ BrowserHistoryACSet Schema │ ├─────────────────────────────────────────────────────────────┤ │ Objects: Browser, URL, Visit, Domain, SearchQuery │ │ │ │ Morphisms: │ │ browser_of: URL → Browser │ │ domain_of: URL → Domain │ │ url_of: Visit → URL │ │ from_visit: Visit → Visit (reflexive, navigation chain) │ │ │ │ Attributes: │ │ browser_name: Browser → String │ │ url_text: URL → String │ │ visit_time: Visit → Int │ │ domain_name: Domain → String │ │ trit: Domain → Int (-1, 0, +1) │ └─────────────────────────────────────────────────────────────┘ ``` ## Path Equivalence Tests Verified cross-language compatibility between Python and Julia: | Operation | Python (PyACSet) | Julia (ACSets.jl) | Match | |-----------|------------------|-------------------|-------| | nparts(A) | 2 | 2 | ✓ | | subpart(1, :f) | 1 | 1 | ✓ | | incident(1, :f) | [1] | [1] | ✓ | | path 1→f→g | 1 | 1 | ✓ | ### Key Operations ```python # Python (PyACSet) url = acset.subpart(visit_id, "url_of") domain = acset.path(visit_id, "url_of", "domain_of") referrers = acset.incident(url_id, "url_of") ``` ```julia # Julia (ACSets.jl) url = subpart(acs, visit_id, :url_of) domain = subpart(acs, subpart(acs, visit_id, :url_of), :domain_of) referrers = incident(acs, url_id, :url_of) ``` ## GF(3) Domain Classification | Trit | Category | Examples | Behavior | |------|----------|----------|----------| | +1 | PLUS (Creation) | github.com, ampcode.com, arxiv.org | Building, learning | | 0 | ERGODIC (Info) | google.com, youtube.com, x.com | Coordination, info | | -1 | MINUS (Consumption) | amazon.com, netflix.com, reddit.com | Consuming, extracting | ## Current Data (ChatGPT Atlas) ``` ╔═══════════════════════════════════════════════════════════════╗ ║ Browser History ACSet ║ ╠═══════════════════════════════════════════════════════════════╣ ║ Browser : 3 parts ║ ║ URL : 4529 parts ║ ║ Visit : 8569 parts ║ ║ Domain : 511 parts ║ ║ SearchQuery : 36 parts ║ ║ Download : 41 parts ║ ╠═══════════════════════════════════════════════════════════════╣ ║ GF(3) Sum : 13 ║ ╚═══════════════════════════════════════════════════════════════╝ Top Domains: [+] github.com : 1066 visits (creation) [○] mermaid.live : 655 visits (coordination) [+] ampcode.com : 453 visits (creation) [+] elevenlabs.io : 268 visits (creation) [+] huggingface.co : 188 visits (creation) ``` ## Usage ```bash # Extract browser history as ACSet python3 browser_history_acset.py # Run path equivalence tests python3 path_equivalence_test.py # Julia verification julia path_equivalence_test.jl ``` ## Integration Points - **Tenderloin WEV**: Geographic browsing patterns → impact zones - **OlmoEarth-MLX**: Location-aware embeddings for browsing - **GeoACSet**: Spatial categorization of online activity - **DuckDB**: Temporal queries on visit history ## Specter-Style Navigation ```python # Select all visits to github.com github_visits = ( SELECT(ALL("Visit")) >> FILTER(lambda v: acset.path(v, "url_of", "domain_of") and acset.subpart(acset.path(v, "url_of", "domain_of"), "domain_name") == "github.com") ) # Transform: add trit to all URLs in domain TRANSFORM( SELECT(ALL("URL")) >> FILTER(lambda u: acset.subpart(u, "domain_of") == d1), lambda u: acset.set_subpart(u, "trit", 1) ) ``` ## Canonical Triads ``` browser-history-acset (0) ⊗ olmoearth-mlx (+1) ⊗ tenderloin (-1) = 0 ✓ py-acset (0) ⊗ ACSets.jl (+1) ⊗ DuckDB (-1) = 0 ✓ ``` ## References - [ACSets.jl](https://github.com/AlgebraicJulia/ACSets.jl) - [plurigrid-asi-skillz/skills/acsets](file:///Users/bob/ies/plurigrid-asi-skillz/skills/acsets/SKILL.md) - [zip_acset_skill/extract_agent_o_rama.py](file:///Users/bob/ies/zip_acset_skill/extract_agent_o_rama.py) ## Related Skills - `coequalizers` (0) - Path equivalence via coequalizer quotients - `acsets` (0) - ACSet foundations - `temporal-coalgebra` (-1) - Time-based path analysis ## Scientific Skill Interleaving This skill connects to the K-Dense-AI/claude-scientific-skills ecosystem: ### Annotated Data - **anndata** [○] via bicomodule ### Bibliography References - `general`: 734 citations in bib.duckdb ## Cat# Integration This skill maps to **Cat# = Comod(P)** as a bicomodule in the equipment structure: ``` Trit: 0 (ERGODIC) Home: Prof Poly Op: ⊗ Kan Role: Adj Color: #26D826 ``` ### GF(3) Naturality The skill participates in triads satisfying: ``` (-1) + (0) + (+1) ≡ 0 (mod 3) ``` This ensures compositional coherence in the Cat# equipment structure. --- Source attribution: plurigrid Original project: https://github.com/plurigrid/asi/blob/293ce9f76e3abcd5ba18db284688bc0d9ac6691d/plugins/asi/skills/browser-history-acset/SKILL.md License: MIT License information: https://opensource.org/license/mit Original upstream instructions; downloaded from Mega AI Hub. ## Upstream license notice MIT License Copyright (c) 2025 SkillCreator.ai Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. # Mega AI Hub resource metadata Creator / publisher: plurigrid Original project: https://github.com/plurigrid/asi/blob/293ce9f76e3abcd5ba18db284688bc0d9ac6691d/plugins/asi/skills/browser-history-acset/SKILL.md Attribution basis: Source repository record Fields of work: Data & Analytics, Development & Engineering Roles: Backend Developer, Data Analyst, ML / AI Engineer Specialties: API, Database Tools: Pyacset, Acssets.Jl Country applicability: Country not specified Classification basis: Source catalog labels Instruction SHA-256: be08ed70517c0c4c96fd5f65320ba300c31be0a54ab91bf8408e9e7a3d229237