{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:ZMCUJUGQBP56MT7K2IMWGMWYF4","short_pith_number":"pith:ZMCUJUGQ","canonical_record":{"source":{"id":"1606.06360","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-06-20T23:29:28Z","cross_cats_sorted":[],"title_canon_sha256":"5ac40357b030365ef87975b12684511a96e0b06c872634ba9ab2d2a812dfd53a","abstract_canon_sha256":"634d902891b7faf45b02d56f55c6f0b89046ef880efb9c7e23bfc6778a09c67a"},"schema_version":"1.0"},"canonical_sha256":"cb0544d0d00bfbe64fead2196332d82f24591f494f4a7c9e73e7a87492814171","source":{"kind":"arxiv","id":"1606.06360","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.06360","created_at":"2026-05-18T01:01:41Z"},{"alias_kind":"arxiv_version","alias_value":"1606.06360v3","created_at":"2026-05-18T01:01:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.06360","created_at":"2026-05-18T01:01:41Z"},{"alias_kind":"pith_short_12","alias_value":"ZMCUJUGQBP56","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"ZMCUJUGQBP56MT7K","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"ZMCUJUGQ","created_at":"2026-05-18T12:30:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:ZMCUJUGQBP56MT7K2IMWGMWYF4","target":"record","payload":{"canonical_record":{"source":{"id":"1606.06360","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-06-20T23:29:28Z","cross_cats_sorted":[],"title_canon_sha256":"5ac40357b030365ef87975b12684511a96e0b06c872634ba9ab2d2a812dfd53a","abstract_canon_sha256":"634d902891b7faf45b02d56f55c6f0b89046ef880efb9c7e23bfc6778a09c67a"},"schema_version":"1.0"},"canonical_sha256":"cb0544d0d00bfbe64fead2196332d82f24591f494f4a7c9e73e7a87492814171","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:01:41.928091Z","signature_b64":"WqryoUK2w6SXnkZsvRp4dvNN+4tafxSTWNrWXA8+0IpNQhWNmLC9dMP92hO/uh5bpSf9yXT7pi8JJwScQdyDAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cb0544d0d00bfbe64fead2196332d82f24591f494f4a7c9e73e7a87492814171","last_reissued_at":"2026-05-18T01:01:41.927565Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:01:41.927565Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1606.06360","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:01:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a2hNkiYCE8gBlD4BkTvtfGfm2FjFSx8zjE+Tr2x1/GOrRoe3g8tnL3/sW/GzFwhWRRsnGEHD3s7inBdiVLZLBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T14:32:57.573026Z"},"content_sha256":"a768d9a8393fbe33e2942b6a196630fe484169b2ef75b7f1c2d73db3fb0c7488","schema_version":"1.0","event_id":"sha256:a768d9a8393fbe33e2942b6a196630fe484169b2ef75b7f1c2d73db3fb0c7488"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:ZMCUJUGQBP56MT7K2IMWGMWYF4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Twisted Alexander polynomials of hyperbolic links","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Anh T. Tran, Takayuki Morifuji","submitted_at":"2016-06-20T23:29:28Z","abstract_excerpt":"In this paper we apply the twisted Alexander polynomial to study the fibering and genus detecting problems for oriented links. In particular we generalize a conjecture of Dunfield, Friedl and Jackson on the torsion polynomial of hyperbolic knots to hyperbolic links, and confirm it for an infinite family of hyperbolic 2-bridge links. Moreover we consider a similar problem for parabolic representations of 2-bridge link groups."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.06360","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:01:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5iUGc3gwEArJjlLquO5OirWP/yc7DqEVRBP9vkLNKbYpjromCLzMXYrPnCJxxEc1Ak9j1UvxXbP9bRLviKJ4Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T14:32:57.573392Z"},"content_sha256":"a722f555bb9d8778da01d74140e394abe18cb78ca078d4603a07d4dafd6a106d","schema_version":"1.0","event_id":"sha256:a722f555bb9d8778da01d74140e394abe18cb78ca078d4603a07d4dafd6a106d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZMCUJUGQBP56MT7K2IMWGMWYF4/bundle.json","state_url":"https://pith.science/pith/ZMCUJUGQBP56MT7K2IMWGMWYF4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZMCUJUGQBP56MT7K2IMWGMWYF4/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-29T14:32:57Z","links":{"resolver":"https://pith.science/pith/ZMCUJUGQBP56MT7K2IMWGMWYF4","bundle":"https://pith.science/pith/ZMCUJUGQBP56MT7K2IMWGMWYF4/bundle.json","state":"https://pith.science/pith/ZMCUJUGQBP56MT7K2IMWGMWYF4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZMCUJUGQBP56MT7K2IMWGMWYF4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:ZMCUJUGQBP56MT7K2IMWGMWYF4","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":"634d902891b7faf45b02d56f55c6f0b89046ef880efb9c7e23bfc6778a09c67a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-06-20T23:29:28Z","title_canon_sha256":"5ac40357b030365ef87975b12684511a96e0b06c872634ba9ab2d2a812dfd53a"},"schema_version":"1.0","source":{"id":"1606.06360","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.06360","created_at":"2026-05-18T01:01:41Z"},{"alias_kind":"arxiv_version","alias_value":"1606.06360v3","created_at":"2026-05-18T01:01:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.06360","created_at":"2026-05-18T01:01:41Z"},{"alias_kind":"pith_short_12","alias_value":"ZMCUJUGQBP56","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"ZMCUJUGQBP56MT7K","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"ZMCUJUGQ","created_at":"2026-05-18T12:30:53Z"}],"graph_snapshots":[{"event_id":"sha256:a722f555bb9d8778da01d74140e394abe18cb78ca078d4603a07d4dafd6a106d","target":"graph","created_at":"2026-05-18T01:01:41Z","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":"In this paper we apply the twisted Alexander polynomial to study the fibering and genus detecting problems for oriented links. In particular we generalize a conjecture of Dunfield, Friedl and Jackson on the torsion polynomial of hyperbolic knots to hyperbolic links, and confirm it for an infinite family of hyperbolic 2-bridge links. Moreover we consider a similar problem for parabolic representations of 2-bridge link groups.","authors_text":"Anh T. Tran, Takayuki Morifuji","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-06-20T23:29:28Z","title":"Twisted Alexander polynomials of hyperbolic links"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.06360","kind":"arxiv","version":3},"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:a768d9a8393fbe33e2942b6a196630fe484169b2ef75b7f1c2d73db3fb0c7488","target":"record","created_at":"2026-05-18T01:01:41Z","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":"634d902891b7faf45b02d56f55c6f0b89046ef880efb9c7e23bfc6778a09c67a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-06-20T23:29:28Z","title_canon_sha256":"5ac40357b030365ef87975b12684511a96e0b06c872634ba9ab2d2a812dfd53a"},"schema_version":"1.0","source":{"id":"1606.06360","kind":"arxiv","version":3}},"canonical_sha256":"cb0544d0d00bfbe64fead2196332d82f24591f494f4a7c9e73e7a87492814171","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cb0544d0d00bfbe64fead2196332d82f24591f494f4a7c9e73e7a87492814171","first_computed_at":"2026-05-18T01:01:41.927565Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:01:41.927565Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WqryoUK2w6SXnkZsvRp4dvNN+4tafxSTWNrWXA8+0IpNQhWNmLC9dMP92hO/uh5bpSf9yXT7pi8JJwScQdyDAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:01:41.928091Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.06360","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a768d9a8393fbe33e2942b6a196630fe484169b2ef75b7f1c2d73db3fb0c7488","sha256:a722f555bb9d8778da01d74140e394abe18cb78ca078d4603a07d4dafd6a106d"],"state_sha256":"1af68783a9ad4fe2805a8e898af0dcdf61f7631d820c27adfaeb0f37f09f0cc6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lm0qD2tkpkf8mng8w1dkyeeZG/gMhKXm4OyN8Sqb+SVUO8AyHyVhjkoG8Yca9w07qHAtoScJgvSqoN1kpEfADA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T14:32:57.575532Z","bundle_sha256":"4d54ad8cf33478cf1a11a49e5161935758658efb27d13b57fb62f71502df38b2"}}