{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:INEJ2HMVKX4P6IYUGK7VXYWOGS","short_pith_number":"pith:INEJ2HMV","schema_version":"1.0","canonical_sha256":"43489d1d9555f8ff231432bf5be2ce3480c18c94bb18d5b3c560464b3e85de05","source":{"kind":"arxiv","id":"1603.08214","version":1},"attestation_state":"computed","paper":{"title":"Separating a chart","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Akiko Shima, Teruo Nagase","submitted_at":"2016-03-27T12:56:48Z","abstract_excerpt":"In this paper, we shall show a condition for that a chart is C-move equivalent to the product of two charts, the union of two charts $\\Gamma^*$ and $\\Gamma^{**}$ which are contained in disks $D^*$ and $D^{**}$ with $D^*\\cap D^{**}=\\emptyset$."},"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":"1603.08214","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-03-27T12:56:48Z","cross_cats_sorted":[],"title_canon_sha256":"fa5021054676fde5001d6678bf2ee9c241a1ba42abbee2d45ec93b20b1432bb3","abstract_canon_sha256":"066c98bda4e33c9a4e60cde4c1ddd08011e14b17a4baf1222073610918d728ec"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:47:29.288172Z","signature_b64":"gi6D/iEKw8rYnmLVuLnNAibWoddazGzLv0OeyiHlkG5LJ1jagem5iXztMJWg54G5EWy3u08yoF5AAd/TFmnDDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"43489d1d9555f8ff231432bf5be2ce3480c18c94bb18d5b3c560464b3e85de05","last_reissued_at":"2026-05-18T00:47:29.287662Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:47:29.287662Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Separating a chart","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Akiko Shima, Teruo Nagase","submitted_at":"2016-03-27T12:56:48Z","abstract_excerpt":"In this paper, we shall show a condition for that a chart is C-move equivalent to the product of two charts, the union of two charts $\\Gamma^*$ and $\\Gamma^{**}$ which are contained in disks $D^*$ and $D^{**}$ with $D^*\\cap D^{**}=\\emptyset$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.08214","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":"1603.08214","created_at":"2026-05-18T00:47:29.287742+00:00"},{"alias_kind":"arxiv_version","alias_value":"1603.08214v1","created_at":"2026-05-18T00:47:29.287742+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.08214","created_at":"2026-05-18T00:47:29.287742+00:00"},{"alias_kind":"pith_short_12","alias_value":"INEJ2HMVKX4P","created_at":"2026-05-18T12:30:22.444734+00:00"},{"alias_kind":"pith_short_16","alias_value":"INEJ2HMVKX4P6IYU","created_at":"2026-05-18T12:30:22.444734+00:00"},{"alias_kind":"pith_short_8","alias_value":"INEJ2HMV","created_at":"2026-05-18T12:30:22.444734+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/INEJ2HMVKX4P6IYUGK7VXYWOGS","json":"https://pith.science/pith/INEJ2HMVKX4P6IYUGK7VXYWOGS.json","graph_json":"https://pith.science/api/pith-number/INEJ2HMVKX4P6IYUGK7VXYWOGS/graph.json","events_json":"https://pith.science/api/pith-number/INEJ2HMVKX4P6IYUGK7VXYWOGS/events.json","paper":"https://pith.science/paper/INEJ2HMV"},"agent_actions":{"view_html":"https://pith.science/pith/INEJ2HMVKX4P6IYUGK7VXYWOGS","download_json":"https://pith.science/pith/INEJ2HMVKX4P6IYUGK7VXYWOGS.json","view_paper":"https://pith.science/paper/INEJ2HMV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1603.08214&json=true","fetch_graph":"https://pith.science/api/pith-number/INEJ2HMVKX4P6IYUGK7VXYWOGS/graph.json","fetch_events":"https://pith.science/api/pith-number/INEJ2HMVKX4P6IYUGK7VXYWOGS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/INEJ2HMVKX4P6IYUGK7VXYWOGS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/INEJ2HMVKX4P6IYUGK7VXYWOGS/action/storage_attestation","attest_author":"https://pith.science/pith/INEJ2HMVKX4P6IYUGK7VXYWOGS/action/author_attestation","sign_citation":"https://pith.science/pith/INEJ2HMVKX4P6IYUGK7VXYWOGS/action/citation_signature","submit_replication":"https://pith.science/pith/INEJ2HMVKX4P6IYUGK7VXYWOGS/action/replication_record"}},"created_at":"2026-05-18T00:47:29.287742+00:00","updated_at":"2026-05-18T00:47:29.287742+00:00"}