{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:DTBF6YOFSHHCBE2JH6LZ763QFZ","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":"38fad470cb95a6e3fce2a68c89d78ebaeb773ab19d933556e38728f93f18c656","cross_cats_sorted":["math.GR"],"license":"","primary_cat":"math.GT","submitted_at":"2005-10-11T13:37:48Z","title_canon_sha256":"706fcf0808613569826ac4222307dd32083038a4696ea93e90247617dc5fde52"},"schema_version":"1.0","source":{"id":"math/0510224","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0510224","created_at":"2026-05-18T02:41:31Z"},{"alias_kind":"arxiv_version","alias_value":"math/0510224v1","created_at":"2026-05-18T02:41:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0510224","created_at":"2026-05-18T02:41:31Z"},{"alias_kind":"pith_short_12","alias_value":"DTBF6YOFSHHC","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"DTBF6YOFSHHCBE2J","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"DTBF6YOF","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:cbcf9e185b75f9c136d6219bb21763b4034e8746413c8c30780ee76b6080bd56","target":"graph","created_at":"2026-05-18T02:41:31Z","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":"If phi: G-->G' is a surjective homomorphism, we prove that the twisted Alexander polynomial of G is divisible by the twisted Alexander polynomial of G'. As an application, we show non-existence of surjective homomorphism between certain knot groups.","authors_text":"Masaaki Suzuki, Masaaki Wada, Teruaki Kitano","cross_cats":["math.GR"],"headline":"","license":"","primary_cat":"math.GT","submitted_at":"2005-10-11T13:37:48Z","title":"Twisted Alexander polynomials and surjectivity of a group homomorphism"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0510224","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":"sha256:3d79d54cb27ac6652e5c702b4a7e4fade56dfa1ffaf5d5c25cd981c97e9c2e8b","target":"record","created_at":"2026-05-18T02:41:31Z","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":"38fad470cb95a6e3fce2a68c89d78ebaeb773ab19d933556e38728f93f18c656","cross_cats_sorted":["math.GR"],"license":"","primary_cat":"math.GT","submitted_at":"2005-10-11T13:37:48Z","title_canon_sha256":"706fcf0808613569826ac4222307dd32083038a4696ea93e90247617dc5fde52"},"schema_version":"1.0","source":{"id":"math/0510224","kind":"arxiv","version":1}},"canonical_sha256":"1cc25f61c591ce2093493f979ffb702e67ba67d5da6f3b95011fe0523af82c2d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1cc25f61c591ce2093493f979ffb702e67ba67d5da6f3b95011fe0523af82c2d","first_computed_at":"2026-05-18T02:41:31.987789Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:41:31.987789Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"w3OjyfYDeE5YuR4abW9wDXuYqw5rEbXOaIgocqpXw6LZrxdNO3Lp3weEwV3EFpYi27yELHbw4hq7ubTZzIiIAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:41:31.988143Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0510224","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3d79d54cb27ac6652e5c702b4a7e4fade56dfa1ffaf5d5c25cd981c97e9c2e8b","sha256:cbcf9e185b75f9c136d6219bb21763b4034e8746413c8c30780ee76b6080bd56"],"state_sha256":"43e83abdfaafe569ad20e02aa60128498d25ce6b7d9efe7aad63b7371079085d"}