{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:ADGWGAMGVOBIKOM5TN7NO5RK3G","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":"c4000619fd943872aad5567b49567b0c2065c401e62f0259462649c5bdbfb1c3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2016-07-17T15:59:34Z","title_canon_sha256":"1b6e9b0449c2a77e036c0b4739aa255e71f35b821d0a3893b0ed8b5aba2d2e52"},"schema_version":"1.0","source":{"id":"1607.04885","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.04885","created_at":"2026-05-18T01:10:56Z"},{"alias_kind":"arxiv_version","alias_value":"1607.04885v1","created_at":"2026-05-18T01:10:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.04885","created_at":"2026-05-18T01:10:56Z"},{"alias_kind":"pith_short_12","alias_value":"ADGWGAMGVOBI","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"ADGWGAMGVOBIKOM5","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"ADGWGAMG","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:7e90e51563b35d6153b4605ad10c880a76e0cfba2c2dc197907802b5d59a100b","target":"graph","created_at":"2026-05-18T01:10:56Z","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":"A conjecture of Imrich and M\\\"uller on rank of the intersection of subgroups of free groups is disproved.","authors_text":"Sergei V. Ivanov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2016-07-17T15:59:34Z","title":"On a conjecture of Imrich and M\\\"uller"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.04885","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":"sha256:284ad5339e4e93e82e6eb0213c3cb8dee4b4e0b746445d758cf202f92de39bf7","target":"record","created_at":"2026-05-18T01:10:56Z","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":"c4000619fd943872aad5567b49567b0c2065c401e62f0259462649c5bdbfb1c3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2016-07-17T15:59:34Z","title_canon_sha256":"1b6e9b0449c2a77e036c0b4739aa255e71f35b821d0a3893b0ed8b5aba2d2e52"},"schema_version":"1.0","source":{"id":"1607.04885","kind":"arxiv","version":1}},"canonical_sha256":"00cd630186ab8285399d9b7ed7762ad983b2fde6cb1ce0860ff75d0854a48f0d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"00cd630186ab8285399d9b7ed7762ad983b2fde6cb1ce0860ff75d0854a48f0d","first_computed_at":"2026-05-18T01:10:56.435778Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:10:56.435778Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PfuVcYr8Km730lqpz4WPyr1onvoyF9g4D8EU8d9VCHD+0OpDDizQ4yS/voHHJBqxSNmwaxXtJL3zESZMMQxRDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:10:56.436231Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.04885","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:284ad5339e4e93e82e6eb0213c3cb8dee4b4e0b746445d758cf202f92de39bf7","sha256:7e90e51563b35d6153b4605ad10c880a76e0cfba2c2dc197907802b5d59a100b"],"state_sha256":"c4ac0be1a0b1dfd3324896e74513aab236e6ac64834347bb4b0131dd49044b7f"}