{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:3TJD2N4JOCIHUE4NEAQJN7L3AG","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":"2921a20218bde87a195c69af5cffb2e8e1846ee8775fa60d008d80aefa5ccc0d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-12-18T14:48:39Z","title_canon_sha256":"3d1e9ccab23a466fef07d20150b9849daf2009d46c15ae7017fddb8d8da1466a"},"schema_version":"1.0","source":{"id":"1512.05978","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.05978","created_at":"2026-05-18T00:56:46Z"},{"alias_kind":"arxiv_version","alias_value":"1512.05978v2","created_at":"2026-05-18T00:56:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.05978","created_at":"2026-05-18T00:56:46Z"},{"alias_kind":"pith_short_12","alias_value":"3TJD2N4JOCIH","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3TJD2N4JOCIHUE4N","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3TJD2N4J","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:ad4d86a82b59645f718a63545d3231f5846f86a913823a3462d56eaaf9af718e","target":"graph","created_at":"2026-05-18T00:56:46Z","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"},"paper":{"abstract_excerpt":"The paper addresses certain topological aspects of Dijkstra's PV-model for parallel computations in concurrency theory. The main result is a computation of the homology of the trace space associated with PV-programs in which access and release of every resource happen without time delay.","authors_text":"Martin Raussen, Roy Meshulam","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-12-18T14:48:39Z","title":"Homology of spaces of directed paths in Euclidean pattern spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.05978","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":"sha256:9cdee7ae0d692cca1cd1416c16f2d38a12f34d6172c58a6928ab1d437dba273c","target":"record","created_at":"2026-05-18T00:56:46Z","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":"2921a20218bde87a195c69af5cffb2e8e1846ee8775fa60d008d80aefa5ccc0d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-12-18T14:48:39Z","title_canon_sha256":"3d1e9ccab23a466fef07d20150b9849daf2009d46c15ae7017fddb8d8da1466a"},"schema_version":"1.0","source":{"id":"1512.05978","kind":"arxiv","version":2}},"canonical_sha256":"dcd23d378970907a138d202096fd7b01826592530e41919a2a6bda7a82d089e8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dcd23d378970907a138d202096fd7b01826592530e41919a2a6bda7a82d089e8","first_computed_at":"2026-05-18T00:56:46.533237Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:56:46.533237Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SDZ0LbphnPSZ6rg1MmX4mLT7NpsKZdjNQUK8NiKhr4T1wzlft/xdh2OPBUzuEgL/pasLUTNB2NhRAQLyTOY9Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:56:46.533777Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.05978","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9cdee7ae0d692cca1cd1416c16f2d38a12f34d6172c58a6928ab1d437dba273c","sha256:ad4d86a82b59645f718a63545d3231f5846f86a913823a3462d56eaaf9af718e"],"state_sha256":"e3f29ff18629cd1f5ccea8f429de356282a59ddb39854605652cbf7f2d540c9e"}