{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:H5VHIVPJNKXIWJA6HGAKT2BRDX","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":"c1d67b9020c0ec78d2bdbd40045125112e0acd0b124618a014ba880156b5e34e","cross_cats_sorted":["math.AT","math.GR","math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2016-12-27T18:24:05Z","title_canon_sha256":"9d2ec33d0eb4a3007567f81bdf450a52ab30bac4a487e8ae9f59db4e1c043a69"},"schema_version":"1.0","source":{"id":"1612.08700","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.08700","created_at":"2026-05-18T00:48:09Z"},{"alias_kind":"arxiv_version","alias_value":"1612.08700v5","created_at":"2026-05-18T00:48:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.08700","created_at":"2026-05-18T00:48:09Z"},{"alias_kind":"pith_short_12","alias_value":"H5VHIVPJNKXI","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"H5VHIVPJNKXIWJA6","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"H5VHIVPJ","created_at":"2026-05-18T12:30:19Z"}],"graph_snapshots":[{"event_id":"sha256:73cd8df5552420872e7375e7a06fbc8b301e1828b62d0a74b2e20e001f4fb331","target":"graph","created_at":"2026-05-18T00:48:09Z","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":"We prove the Burghelea Conjecture for groups satisfying some additional cohomological property.","authors_text":"Alexander Dranishnikov","cross_cats":["math.AT","math.GR","math.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2016-12-27T18:24:05Z","title":"On Burghelea Conjecture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.08700","kind":"arxiv","version":5},"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:ab71da51c7eb4b88e2dd834c277f0030eef402e1746b2d7ba4136c015fc2188a","target":"record","created_at":"2026-05-18T00:48:09Z","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":"c1d67b9020c0ec78d2bdbd40045125112e0acd0b124618a014ba880156b5e34e","cross_cats_sorted":["math.AT","math.GR","math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2016-12-27T18:24:05Z","title_canon_sha256":"9d2ec33d0eb4a3007567f81bdf450a52ab30bac4a487e8ae9f59db4e1c043a69"},"schema_version":"1.0","source":{"id":"1612.08700","kind":"arxiv","version":5}},"canonical_sha256":"3f6a7455e96aae8b241e3980a9e8311dc0d54e2b695c9a4548a269cb89fbab78","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3f6a7455e96aae8b241e3980a9e8311dc0d54e2b695c9a4548a269cb89fbab78","first_computed_at":"2026-05-18T00:48:09.321644Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:48:09.321644Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Qk85DDHWSSXWZq+DJGwZwqtTehcxr83CJQJfLMDU1vrP9ryJuezdAgtakGAWs/dzEOpnXoo4hEd/pa03ef02BA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:48:09.322111Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.08700","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ab71da51c7eb4b88e2dd834c277f0030eef402e1746b2d7ba4136c015fc2188a","sha256:73cd8df5552420872e7375e7a06fbc8b301e1828b62d0a74b2e20e001f4fb331"],"state_sha256":"ad4420b14ad519116ac4812de818734a95333eb4a510cc12228cb923e23e3820"}