{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2000:B3NZHAWX2XX2HTMELLEXDVRCPN","short_pith_number":"pith:B3NZHAWX","schema_version":"1.0","canonical_sha256":"0edb9382d7d5efa3cd845ac971d6227b7af60aef7e9ec63708dea8b534a5232a","source":{"kind":"arxiv","id":"math/0007015","version":1},"attestation_state":"computed","paper":{"title":"Unknotting virtual knots with Gauss diagram forbidden moves","license":"","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Sam Nelson","submitted_at":"2000-07-03T17:14:54Z","abstract_excerpt":"The forbidden moves can be combined with Gauss diagram Reidemeister moves to obtain move sequences with which we may change any Gauss diagram (and hence any virtual knot) into any other, including in particular the unknotted diagram"},"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":"math/0007015","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.GT","submitted_at":"2000-07-03T17:14:54Z","cross_cats_sorted":[],"title_canon_sha256":"996237dad9d19cbdc003abef95a0434908d7ee321e18dc5c1bd13369ca28289b","abstract_canon_sha256":"83d76dbaa2ee512d606696debb63a4d6ab2b8cef7b48668d9618e15e86655103"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:34:35.518476Z","signature_b64":"hkxBWBoLicQg3V/wzk8t8/hSjdMuq22+9Y5XH8GTdqG1QnZn9IsULGygWFWYhufRzrp41uwVy704a1nNiB3HAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0edb9382d7d5efa3cd845ac971d6227b7af60aef7e9ec63708dea8b534a5232a","last_reissued_at":"2026-07-04T14:34:35.517771Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:34:35.517771Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Unknotting virtual knots with Gauss diagram forbidden moves","license":"","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Sam Nelson","submitted_at":"2000-07-03T17:14:54Z","abstract_excerpt":"The forbidden moves can be combined with Gauss diagram Reidemeister moves to obtain move sequences with which we may change any Gauss diagram (and hence any virtual knot) into any other, including in particular the unknotted diagram"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0007015","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/math/0007015/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"math/0007015","created_at":"2026-07-04T14:34:35.517838+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0007015v1","created_at":"2026-07-04T14:34:35.517838+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0007015","created_at":"2026-07-04T14:34:35.517838+00:00"},{"alias_kind":"pith_short_12","alias_value":"B3NZHAWX2XX2","created_at":"2026-07-04T14:34:35.517838+00:00"},{"alias_kind":"pith_short_16","alias_value":"B3NZHAWX2XX2HTME","created_at":"2026-07-04T14:34:35.517838+00:00"},{"alias_kind":"pith_short_8","alias_value":"B3NZHAWX","created_at":"2026-07-04T14:34:35.517838+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/B3NZHAWX2XX2HTMELLEXDVRCPN","json":"https://pith.science/pith/B3NZHAWX2XX2HTMELLEXDVRCPN.json","graph_json":"https://pith.science/api/pith-number/B3NZHAWX2XX2HTMELLEXDVRCPN/graph.json","events_json":"https://pith.science/api/pith-number/B3NZHAWX2XX2HTMELLEXDVRCPN/events.json","paper":"https://pith.science/paper/B3NZHAWX"},"agent_actions":{"view_html":"https://pith.science/pith/B3NZHAWX2XX2HTMELLEXDVRCPN","download_json":"https://pith.science/pith/B3NZHAWX2XX2HTMELLEXDVRCPN.json","view_paper":"https://pith.science/paper/B3NZHAWX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0007015&json=true","fetch_graph":"https://pith.science/api/pith-number/B3NZHAWX2XX2HTMELLEXDVRCPN/graph.json","fetch_events":"https://pith.science/api/pith-number/B3NZHAWX2XX2HTMELLEXDVRCPN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/B3NZHAWX2XX2HTMELLEXDVRCPN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/B3NZHAWX2XX2HTMELLEXDVRCPN/action/storage_attestation","attest_author":"https://pith.science/pith/B3NZHAWX2XX2HTMELLEXDVRCPN/action/author_attestation","sign_citation":"https://pith.science/pith/B3NZHAWX2XX2HTMELLEXDVRCPN/action/citation_signature","submit_replication":"https://pith.science/pith/B3NZHAWX2XX2HTMELLEXDVRCPN/action/replication_record"}},"created_at":"2026-07-04T14:34:35.517838+00:00","updated_at":"2026-07-04T14:34:35.517838+00:00"}