{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:4ICG3YWUT6DCNQ7XW5KCWEELNU","short_pith_number":"pith:4ICG3YWU","schema_version":"1.0","canonical_sha256":"e2046de2d49f8626c3f7b7542b108b6d39b3ce6e08aa5fbd1719875d8ee83b95","source":{"kind":"arxiv","id":"1903.01971","version":1},"attestation_state":"computed","paper":{"title":"The knots that lie above all shadows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Carolina Medina, Gelasio Salazar","submitted_at":"2019-03-05T18:34:34Z","abstract_excerpt":"We show that for each even integer $m\\ge 2$, every reduced shadow with sufficiently many crossings is a shadow of a torus knot T(2,m+1), or of a twist knot $T_m$, or of a connected sum of $m$ trefoil knots."},"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":"1903.01971","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-03-05T18:34:34Z","cross_cats_sorted":[],"title_canon_sha256":"40702167954553a89775d8f60e635be55d534e7590a2f6e150b69f0c93543be1","abstract_canon_sha256":"79bb3ddb5aaae144411769311a433a9e78f9a587c4d7f3fc117d02fc7ee02e9e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:59.334488Z","signature_b64":"D7g9MHfztAx6puKRWYUz3Shp7lfXfIbtdp1V8W9oBI07M78VhvY51uHqzie7ikO7jYj6BCLVP6X9ZxRTqkH7CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e2046de2d49f8626c3f7b7542b108b6d39b3ce6e08aa5fbd1719875d8ee83b95","last_reissued_at":"2026-05-17T23:51:59.334003Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:59.334003Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The knots that lie above all shadows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Carolina Medina, Gelasio Salazar","submitted_at":"2019-03-05T18:34:34Z","abstract_excerpt":"We show that for each even integer $m\\ge 2$, every reduced shadow with sufficiently many crossings is a shadow of a torus knot T(2,m+1), or of a twist knot $T_m$, or of a connected sum of $m$ trefoil knots."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.01971","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":"1903.01971","created_at":"2026-05-17T23:51:59.334078+00:00"},{"alias_kind":"arxiv_version","alias_value":"1903.01971v1","created_at":"2026-05-17T23:51:59.334078+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.01971","created_at":"2026-05-17T23:51:59.334078+00:00"},{"alias_kind":"pith_short_12","alias_value":"4ICG3YWUT6DC","created_at":"2026-05-18T12:33:10.108867+00:00"},{"alias_kind":"pith_short_16","alias_value":"4ICG3YWUT6DCNQ7X","created_at":"2026-05-18T12:33:10.108867+00:00"},{"alias_kind":"pith_short_8","alias_value":"4ICG3YWU","created_at":"2026-05-18T12:33:10.108867+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/4ICG3YWUT6DCNQ7XW5KCWEELNU","json":"https://pith.science/pith/4ICG3YWUT6DCNQ7XW5KCWEELNU.json","graph_json":"https://pith.science/api/pith-number/4ICG3YWUT6DCNQ7XW5KCWEELNU/graph.json","events_json":"https://pith.science/api/pith-number/4ICG3YWUT6DCNQ7XW5KCWEELNU/events.json","paper":"https://pith.science/paper/4ICG3YWU"},"agent_actions":{"view_html":"https://pith.science/pith/4ICG3YWUT6DCNQ7XW5KCWEELNU","download_json":"https://pith.science/pith/4ICG3YWUT6DCNQ7XW5KCWEELNU.json","view_paper":"https://pith.science/paper/4ICG3YWU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1903.01971&json=true","fetch_graph":"https://pith.science/api/pith-number/4ICG3YWUT6DCNQ7XW5KCWEELNU/graph.json","fetch_events":"https://pith.science/api/pith-number/4ICG3YWUT6DCNQ7XW5KCWEELNU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4ICG3YWUT6DCNQ7XW5KCWEELNU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4ICG3YWUT6DCNQ7XW5KCWEELNU/action/storage_attestation","attest_author":"https://pith.science/pith/4ICG3YWUT6DCNQ7XW5KCWEELNU/action/author_attestation","sign_citation":"https://pith.science/pith/4ICG3YWUT6DCNQ7XW5KCWEELNU/action/citation_signature","submit_replication":"https://pith.science/pith/4ICG3YWUT6DCNQ7XW5KCWEELNU/action/replication_record"}},"created_at":"2026-05-17T23:51:59.334078+00:00","updated_at":"2026-05-17T23:51:59.334078+00:00"}