{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:CNVDARUVZF4UTQPMKGFWBHXV3E","short_pith_number":"pith:CNVDARUV","schema_version":"1.0","canonical_sha256":"136a304695c97949c1ec518b609ef5d92892a62c067738396a02dea3c5098c5c","source":{"kind":"arxiv","id":"1109.3165","version":1},"attestation_state":"computed","paper":{"title":"Smoothed Invariants","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"H. A. Dye","submitted_at":"2011-09-14T18:57:08Z","abstract_excerpt":"We construct two knot invariants. The first knot invariant is a sum constructed using linking numbers. The second is an invariant of flat knots and is a formal sum of flat knots obtained by smoothing pairs of crossings. This invariant can be used in conjunction with other flat invariants, forming a family of invariants. Both invariants are constructed using the parity of a crossing."},"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":"1109.3165","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-09-14T18:57:08Z","cross_cats_sorted":[],"title_canon_sha256":"2627d43c4f6f9adbc151bc9842a8db2ed8967ebdb1e483ece1e598af8cd70420","abstract_canon_sha256":"3d8bc0c87ae6bacdc45442d94c36f6fe33c026e9e00f67a957c53f1961889d47"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:13:06.136555Z","signature_b64":"vyqcM09/hP8WNOtOrjhxI1vNQ8f2Ke9cB5zGeMWlQqI6cZ0xFmnGl8OVi4ChPh5r/23jTzSME4ykfG4CUQZ2Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"136a304695c97949c1ec518b609ef5d92892a62c067738396a02dea3c5098c5c","last_reissued_at":"2026-05-18T04:13:06.135802Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:13:06.135802Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Smoothed Invariants","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"H. A. Dye","submitted_at":"2011-09-14T18:57:08Z","abstract_excerpt":"We construct two knot invariants. The first knot invariant is a sum constructed using linking numbers. The second is an invariant of flat knots and is a formal sum of flat knots obtained by smoothing pairs of crossings. This invariant can be used in conjunction with other flat invariants, forming a family of invariants. Both invariants are constructed using the parity of a crossing."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.3165","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":"1109.3165","created_at":"2026-05-18T04:13:06.135930+00:00"},{"alias_kind":"arxiv_version","alias_value":"1109.3165v1","created_at":"2026-05-18T04:13:06.135930+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.3165","created_at":"2026-05-18T04:13:06.135930+00:00"},{"alias_kind":"pith_short_12","alias_value":"CNVDARUVZF4U","created_at":"2026-05-18T12:26:26.731475+00:00"},{"alias_kind":"pith_short_16","alias_value":"CNVDARUVZF4UTQPM","created_at":"2026-05-18T12:26:26.731475+00:00"},{"alias_kind":"pith_short_8","alias_value":"CNVDARUV","created_at":"2026-05-18T12:26:26.731475+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/CNVDARUVZF4UTQPMKGFWBHXV3E","json":"https://pith.science/pith/CNVDARUVZF4UTQPMKGFWBHXV3E.json","graph_json":"https://pith.science/api/pith-number/CNVDARUVZF4UTQPMKGFWBHXV3E/graph.json","events_json":"https://pith.science/api/pith-number/CNVDARUVZF4UTQPMKGFWBHXV3E/events.json","paper":"https://pith.science/paper/CNVDARUV"},"agent_actions":{"view_html":"https://pith.science/pith/CNVDARUVZF4UTQPMKGFWBHXV3E","download_json":"https://pith.science/pith/CNVDARUVZF4UTQPMKGFWBHXV3E.json","view_paper":"https://pith.science/paper/CNVDARUV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1109.3165&json=true","fetch_graph":"https://pith.science/api/pith-number/CNVDARUVZF4UTQPMKGFWBHXV3E/graph.json","fetch_events":"https://pith.science/api/pith-number/CNVDARUVZF4UTQPMKGFWBHXV3E/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CNVDARUVZF4UTQPMKGFWBHXV3E/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CNVDARUVZF4UTQPMKGFWBHXV3E/action/storage_attestation","attest_author":"https://pith.science/pith/CNVDARUVZF4UTQPMKGFWBHXV3E/action/author_attestation","sign_citation":"https://pith.science/pith/CNVDARUVZF4UTQPMKGFWBHXV3E/action/citation_signature","submit_replication":"https://pith.science/pith/CNVDARUVZF4UTQPMKGFWBHXV3E/action/replication_record"}},"created_at":"2026-05-18T04:13:06.135930+00:00","updated_at":"2026-05-18T04:13:06.135930+00:00"}