{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:ZGXDDG2L5PUNNLIALUKRU6IMKO","short_pith_number":"pith:ZGXDDG2L","schema_version":"1.0","canonical_sha256":"c9ae319b4bebe8d6ad005d151a790c53943b59da13b4cc90aa45fb1b8d661377","source":{"kind":"arxiv","id":"1008.0312","version":5},"attestation_state":"computed","paper":{"title":"Spherical structures on torus knots and links","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MG"],"primary_cat":"math.GT","authors_text":"Alexander Kolpakov, Alexander Mednykh","submitted_at":"2010-08-02T14:16:37Z","abstract_excerpt":"The present paper considers two infinite families of cone-manifolds endowed with spherical metric. The singular strata is either the torus knot ${\\rm t}(2n+1, 2)$ or the torus link ${\\rm t}(2n, 2)$. Domains of existence for a spherical metric are found in terms of cone angles and volume formul{\\ae} are presented."},"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":"1008.0312","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2010-08-02T14:16:37Z","cross_cats_sorted":["math.MG"],"title_canon_sha256":"949ff0536a2392397e4b23f1b4c20864d7a106c881907748684164187576f5e5","abstract_canon_sha256":"f0b6f002c5e43577bd9bd2944d680f813e77992214b14bcaae2dbe5a9de0081f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:18:45.023515Z","signature_b64":"NsvEOi6yeV+JK/nLE0b9Ei/OAbknjYucLrSaEyLJieaUOpQ0sfge3x8uxgfmPaYz0FBcFzES04ld9pBtJpVxCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c9ae319b4bebe8d6ad005d151a790c53943b59da13b4cc90aa45fb1b8d661377","last_reissued_at":"2026-05-18T04:18:45.022802Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:18:45.022802Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spherical structures on torus knots and links","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MG"],"primary_cat":"math.GT","authors_text":"Alexander Kolpakov, Alexander Mednykh","submitted_at":"2010-08-02T14:16:37Z","abstract_excerpt":"The present paper considers two infinite families of cone-manifolds endowed with spherical metric. The singular strata is either the torus knot ${\\rm t}(2n+1, 2)$ or the torus link ${\\rm t}(2n, 2)$. Domains of existence for a spherical metric are found in terms of cone angles and volume formul{\\ae} are presented."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.0312","kind":"arxiv","version":5},"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":"1008.0312","created_at":"2026-05-18T04:18:45.022916+00:00"},{"alias_kind":"arxiv_version","alias_value":"1008.0312v5","created_at":"2026-05-18T04:18:45.022916+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.0312","created_at":"2026-05-18T04:18:45.022916+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZGXDDG2L5PUN","created_at":"2026-05-18T12:26:17.028572+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZGXDDG2L5PUNNLIA","created_at":"2026-05-18T12:26:17.028572+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZGXDDG2L","created_at":"2026-05-18T12:26:17.028572+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/ZGXDDG2L5PUNNLIALUKRU6IMKO","json":"https://pith.science/pith/ZGXDDG2L5PUNNLIALUKRU6IMKO.json","graph_json":"https://pith.science/api/pith-number/ZGXDDG2L5PUNNLIALUKRU6IMKO/graph.json","events_json":"https://pith.science/api/pith-number/ZGXDDG2L5PUNNLIALUKRU6IMKO/events.json","paper":"https://pith.science/paper/ZGXDDG2L"},"agent_actions":{"view_html":"https://pith.science/pith/ZGXDDG2L5PUNNLIALUKRU6IMKO","download_json":"https://pith.science/pith/ZGXDDG2L5PUNNLIALUKRU6IMKO.json","view_paper":"https://pith.science/paper/ZGXDDG2L","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1008.0312&json=true","fetch_graph":"https://pith.science/api/pith-number/ZGXDDG2L5PUNNLIALUKRU6IMKO/graph.json","fetch_events":"https://pith.science/api/pith-number/ZGXDDG2L5PUNNLIALUKRU6IMKO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZGXDDG2L5PUNNLIALUKRU6IMKO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZGXDDG2L5PUNNLIALUKRU6IMKO/action/storage_attestation","attest_author":"https://pith.science/pith/ZGXDDG2L5PUNNLIALUKRU6IMKO/action/author_attestation","sign_citation":"https://pith.science/pith/ZGXDDG2L5PUNNLIALUKRU6IMKO/action/citation_signature","submit_replication":"https://pith.science/pith/ZGXDDG2L5PUNNLIALUKRU6IMKO/action/replication_record"}},"created_at":"2026-05-18T04:18:45.022916+00:00","updated_at":"2026-05-18T04:18:45.022916+00:00"}