{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:ZSDMX44IVT6D7YU2QVQJ3DIMQ5","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":"21df8d8a3a6e8be6179684937b12773c1c144ad69441607cf205ea1346c57d4f","cross_cats_sorted":["math.CT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.DC","submitted_at":"2025-03-04T12:30:49Z","title_canon_sha256":"2311bebefb8d792a8346dec3ecdbb7e6326ed95941feb5060aa6100aec1fc174"},"schema_version":"1.0","source":{"id":"2503.02556","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.02556","created_at":"2026-07-05T11:59:58Z"},{"alias_kind":"arxiv_version","alias_value":"2503.02556v2","created_at":"2026-07-05T11:59:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.02556","created_at":"2026-07-05T11:59:58Z"},{"alias_kind":"pith_short_12","alias_value":"ZSDMX44IVT6D","created_at":"2026-07-05T11:59:58Z"},{"alias_kind":"pith_short_16","alias_value":"ZSDMX44IVT6D7YU2","created_at":"2026-07-05T11:59:58Z"},{"alias_kind":"pith_short_8","alias_value":"ZSDMX44I","created_at":"2026-07-05T11:59:58Z"}],"graph_snapshots":[{"event_id":"sha256:02259328eab12ce85911398145c1b48fda84ad522d1792614e538c97aa8591c0","target":"graph","created_at":"2026-07-05T11:59:58Z","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/2503.02556/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce a sheaf-theoretic characterization of task solvability in general distributed computing models, unifying distinct approaches to message-passing models. We establish cellular sheaves as a natural mathematical framework for analyzing the global consistency requirements of local computations. Our main contribution is a task sheaf construction that explicitly relates both the distributed system and task, in which terminating solutions are precisely its global sections. We prove that a task can only be solved by a system when such sections exist in a task sheaf obtained from an executi","authors_text":"Bernardo Hummes Flores, Hugo Rincon Galeana, Stephan Felber","cross_cats":["math.CT"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.DC","submitted_at":"2025-03-04T12:30:49Z","title":"A Sheaf-Theoretic Characterization of Tasks in Distributed Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.02556","kind":"arxiv","version":2},"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:eb8401ded862b9b58786887ae3d4edf892f724ed93f8be89676b237e7b35df32","target":"record","created_at":"2026-07-05T11:59:58Z","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":"21df8d8a3a6e8be6179684937b12773c1c144ad69441607cf205ea1346c57d4f","cross_cats_sorted":["math.CT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.DC","submitted_at":"2025-03-04T12:30:49Z","title_canon_sha256":"2311bebefb8d792a8346dec3ecdbb7e6326ed95941feb5060aa6100aec1fc174"},"schema_version":"1.0","source":{"id":"2503.02556","kind":"arxiv","version":2}},"canonical_sha256":"cc86cbf388acfc3fe29a85609d8d0c874b34970d74226970a15db2465a5c80dc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cc86cbf388acfc3fe29a85609d8d0c874b34970d74226970a15db2465a5c80dc","first_computed_at":"2026-07-05T11:59:58.017622Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:59:58.017622Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pSBYunj3v98h/9zLYb0eqckwZeJSltOrRLa+Zs7sFdRJ1/9ZJUa1D5MhWS/ZKdfyYC0EehwlZ2CtOo9AZRlBBg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:59:58.018066Z","signed_message":"canonical_sha256_bytes"},"source_id":"2503.02556","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eb8401ded862b9b58786887ae3d4edf892f724ed93f8be89676b237e7b35df32","sha256:02259328eab12ce85911398145c1b48fda84ad522d1792614e538c97aa8591c0"],"state_sha256":"ce4396a06ed4089406ad06b950339b565ff1a558a355500e993333f17411925e"}