{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:V6AMJA33ITYIRQ3BFQG7XATHS5","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"776e6f90bc5f135a24e0fd53dceed5a1f992854f7322d8ac0fca8665f537a328","cross_cats_sorted":["math.AT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2025-04-24T16:08:53Z","title_canon_sha256":"235bd4a5c79045f90fcba3a34922f920c634a1296054f18b3cd1cd859b383bc5"},"schema_version":"1.0","source":{"id":"2504.17700","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.17700","created_at":"2026-07-05T10:53:34Z"},{"alias_kind":"arxiv_version","alias_value":"2504.17700v1","created_at":"2026-07-05T10:53:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.17700","created_at":"2026-07-05T10:53:34Z"},{"alias_kind":"pith_short_12","alias_value":"V6AMJA33ITYI","created_at":"2026-07-05T10:53:34Z"},{"alias_kind":"pith_short_16","alias_value":"V6AMJA33ITYIRQ3B","created_at":"2026-07-05T10:53:34Z"},{"alias_kind":"pith_short_8","alias_value":"V6AMJA33","created_at":"2026-07-05T10:53:34Z"}],"graph_snapshots":[{"event_id":"sha256:a0ce79a88c4100642f699b220da25959767d2994a8d681f4ec42fc1a29729a3b","target":"graph","created_at":"2026-07-05T10:53:34Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2504.17700/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper provides a pedagogical introduction to classical sheaf theory and sheaf cohomology, followed by a research prospectus exploring potential applications to multi-agent artificial intelligence systems. The first section offers a comprehensive overview of fundamental sheaf-theoretic concepts-presheaves, sheaves, stalks, and cohomology-aimed at researchers in computer science and AI who may not have extensive background in algebraic topology. The second section presents a detailed research prospectus that outlines a roadmap for developing sheaf-theoretic approaches to model and analyze c","authors_text":"Eric Schmid","cross_cats":["math.AT"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2025-04-24T16:08:53Z","title":"Applied Sheaf Theory For Multi-agent Artificial Intelligence (Reinforcement Learning) Systems: A Prospectus"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.17700","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:952c06198a50707470ae9bd7b24d10366e5a960242a51ee67b841b8de532fcbc","target":"record","created_at":"2026-07-05T10:53:34Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"776e6f90bc5f135a24e0fd53dceed5a1f992854f7322d8ac0fca8665f537a328","cross_cats_sorted":["math.AT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2025-04-24T16:08:53Z","title_canon_sha256":"235bd4a5c79045f90fcba3a34922f920c634a1296054f18b3cd1cd859b383bc5"},"schema_version":"1.0","source":{"id":"2504.17700","kind":"arxiv","version":1}},"canonical_sha256":"af80c4837b44f088c3612c0dfb8267975a1be344dbd2852240126494cc5fafbc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"af80c4837b44f088c3612c0dfb8267975a1be344dbd2852240126494cc5fafbc","first_computed_at":"2026-07-05T10:53:34.285568Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:53:34.285568Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7zHcyhHTuFkR7ONWDVPcuxqL85xTlBnvV1cAIGBv6MvVbuootz3MkbQVyzY1n0kB5Q0N4P6a9AUsnyA2T7l0Cw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:53:34.286048Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.17700","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:952c06198a50707470ae9bd7b24d10366e5a960242a51ee67b841b8de532fcbc","sha256:a0ce79a88c4100642f699b220da25959767d2994a8d681f4ec42fc1a29729a3b"],"state_sha256":"cd406e280f933a503f0c55a203aee00064d448be05ff7895937b69fc27ac1144"}