{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:JR6GW6R43GV3S5MZSN5B77NOO2","short_pith_number":"pith:JR6GW6R4","schema_version":"1.0","canonical_sha256":"4c7c6b7a3cd9abb97599937a1ffdae76baf12e771a16caa9e81b8faf207b7e94","source":{"kind":"arxiv","id":"1204.5167","version":1},"attestation_state":"computed","paper":{"title":"Higher-order linking forms for 3-manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Constance Leidy","submitted_at":"2012-04-23T19:57:50Z","abstract_excerpt":"Given a closed, oriented, connected 3-manifold, M, we define higher-order linking forms on the higher-order Alexander modules of M. These higher-order linking forms generalize similar linking forms for knots previously studied by the author, which were themselves generalizations of the classical Blanchfield linking form for a knot. We also investigate the effect of the construction known as \"infection by a knot\" on these linking forms."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1204.5167","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-04-23T19:57:50Z","cross_cats_sorted":[],"title_canon_sha256":"87804f4ec748f425b3976a48e8ce4d0be7821d28cde3750c55308d6fff52a95c","abstract_canon_sha256":"4da73bae33a9a8ef92bdce87b02ce48b8c40880934058c36dfcb7ff67fc3534a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:57:14.551132Z","signature_b64":"zOXI62EWOLjeoTC5/JeLP25KuU9oewl/jfZNeyHt46duY18aeTspBGfqxEWVCLAOVhYVLpEcF3NzIjl4UOldDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4c7c6b7a3cd9abb97599937a1ffdae76baf12e771a16caa9e81b8faf207b7e94","last_reissued_at":"2026-05-18T03:57:14.550520Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:57:14.550520Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Higher-order linking forms for 3-manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Constance Leidy","submitted_at":"2012-04-23T19:57:50Z","abstract_excerpt":"Given a closed, oriented, connected 3-manifold, M, we define higher-order linking forms on the higher-order Alexander modules of M. These higher-order linking forms generalize similar linking forms for knots previously studied by the author, which were themselves generalizations of the classical Blanchfield linking form for a knot. We also investigate the effect of the construction known as \"infection by a knot\" on these linking forms."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.5167","kind":"arxiv","version":1},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1204.5167","created_at":"2026-05-18T03:57:14.550608+00:00"},{"alias_kind":"arxiv_version","alias_value":"1204.5167v1","created_at":"2026-05-18T03:57:14.550608+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.5167","created_at":"2026-05-18T03:57:14.550608+00:00"},{"alias_kind":"pith_short_12","alias_value":"JR6GW6R43GV3","created_at":"2026-05-18T12:27:11.947152+00:00"},{"alias_kind":"pith_short_16","alias_value":"JR6GW6R43GV3S5MZ","created_at":"2026-05-18T12:27:11.947152+00:00"},{"alias_kind":"pith_short_8","alias_value":"JR6GW6R4","created_at":"2026-05-18T12:27:11.947152+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/JR6GW6R43GV3S5MZSN5B77NOO2","json":"https://pith.science/pith/JR6GW6R43GV3S5MZSN5B77NOO2.json","graph_json":"https://pith.science/api/pith-number/JR6GW6R43GV3S5MZSN5B77NOO2/graph.json","events_json":"https://pith.science/api/pith-number/JR6GW6R43GV3S5MZSN5B77NOO2/events.json","paper":"https://pith.science/paper/JR6GW6R4"},"agent_actions":{"view_html":"https://pith.science/pith/JR6GW6R43GV3S5MZSN5B77NOO2","download_json":"https://pith.science/pith/JR6GW6R43GV3S5MZSN5B77NOO2.json","view_paper":"https://pith.science/paper/JR6GW6R4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1204.5167&json=true","fetch_graph":"https://pith.science/api/pith-number/JR6GW6R43GV3S5MZSN5B77NOO2/graph.json","fetch_events":"https://pith.science/api/pith-number/JR6GW6R43GV3S5MZSN5B77NOO2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JR6GW6R43GV3S5MZSN5B77NOO2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JR6GW6R43GV3S5MZSN5B77NOO2/action/storage_attestation","attest_author":"https://pith.science/pith/JR6GW6R43GV3S5MZSN5B77NOO2/action/author_attestation","sign_citation":"https://pith.science/pith/JR6GW6R43GV3S5MZSN5B77NOO2/action/citation_signature","submit_replication":"https://pith.science/pith/JR6GW6R43GV3S5MZSN5B77NOO2/action/replication_record"}},"created_at":"2026-05-18T03:57:14.550608+00:00","updated_at":"2026-05-18T03:57:14.550608+00:00"}