{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:G7WRJ6TNUCTAG42WQ6JIOVFLKO","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":"61407cce39d9b2f80e44638b665163caca1487b0e4b493dd28e1a0d3438f4ebf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-12-15T07:31:00Z","title_canon_sha256":"abd12226578d1ecd0545928997a6545292cac4b6efbb8e096b422d70a96db752"},"schema_version":"1.0","source":{"id":"1412.4483","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.4483","created_at":"2026-05-18T02:31:19Z"},{"alias_kind":"arxiv_version","alias_value":"1412.4483v1","created_at":"2026-05-18T02:31:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.4483","created_at":"2026-05-18T02:31:19Z"},{"alias_kind":"pith_short_12","alias_value":"G7WRJ6TNUCTA","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"G7WRJ6TNUCTAG42W","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"G7WRJ6TN","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:611272e294d4a78e02ee9e493ccd0b0c1241f3f68c9afe1082145c221022beae","target":"graph","created_at":"2026-05-18T02:31:19Z","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 study incompressible surfaces constructed by Culler-Shalen theory in the context of twisted Alexander polynomials. For a $1$st cohomology class of a $3$-manifold the coefficients of twisted Alexander polynomials induce regular functions on the $SL_2(\\mathbb{C})$-character variety. We prove that if an ideal point gives a Thurston norm minimizing non-separating surface dual to the cohomology class, then the regular function of the highest degree has a finite value at the ideal point.","authors_text":"Takahiro Kitayama","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-12-15T07:31:00Z","title":"Twisted Alexander polynomials and incompressible surfaces given by ideal points"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.4483","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":"sha256:13bfef356de5daae309066dc1026c5a5c8b97022ee92b0b028fc8c6926c26c54","target":"record","created_at":"2026-05-18T02:31:19Z","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":"61407cce39d9b2f80e44638b665163caca1487b0e4b493dd28e1a0d3438f4ebf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-12-15T07:31:00Z","title_canon_sha256":"abd12226578d1ecd0545928997a6545292cac4b6efbb8e096b422d70a96db752"},"schema_version":"1.0","source":{"id":"1412.4483","kind":"arxiv","version":1}},"canonical_sha256":"37ed14fa6da0a603735687928754ab53aec1205cc6e301db5fe46f238cfeac18","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"37ed14fa6da0a603735687928754ab53aec1205cc6e301db5fe46f238cfeac18","first_computed_at":"2026-05-18T02:31:19.066631Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:31:19.066631Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"A4gO77rBnukipJhFMrkpRvKaYrBSJILeYPzkR6BrBzLgt4miTdCD0cHoch06pij7jqlXFisYeokidCS0b+C7CA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:31:19.067292Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.4483","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:13bfef356de5daae309066dc1026c5a5c8b97022ee92b0b028fc8c6926c26c54","sha256:611272e294d4a78e02ee9e493ccd0b0c1241f3f68c9afe1082145c221022beae"],"state_sha256":"ea7db4ade55260f3fd4ed18defd16b8d1146e95bcfdca24025cda0f596b482b6"}