{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:45UOH2YDDM3RRT2MURESFFJFVM","short_pith_number":"pith:45UOH2YD","schema_version":"1.0","canonical_sha256":"e768e3eb031b3718cf4ca449229525ab264f8ad487470f74737918f179971d18","source":{"kind":"arxiv","id":"1310.8491","version":1},"attestation_state":"computed","paper":{"title":"The connected components of the space of Alexandrov surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.MG","authors_text":"Costin V\\^ilcu, Jo\\\"el Rouyer","submitted_at":"2013-10-31T13:24:01Z","abstract_excerpt":"Denote by $\\mathcal{A}(\\kappa)$ the set of all compact Alexandrov surfaces with curvature bounded below by $\\kappa$ without boundary, endowed with the topology induced by the Gromov-Hausdorff metric. We determine the connected components of $\\mathcal{A}(\\kappa)$ and of its closure."},"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":"1310.8491","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2013-10-31T13:24:01Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"b4868d26b1dc2c482762bfb990a228a3333e6b3735964f24452e872a78074945","abstract_canon_sha256":"d93640f181f14b9cc7a45145c90cf6a44fb194038cdf19bcf2e770d8d8adeed4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:08:16.869554Z","signature_b64":"sS0qGTf4sML+lfYIbpAACO7zkr4SPvvTqlhRKBRlwHkpE7UxqSrc+cjq3phMblDSwbQRJzZ4XMJXg0iUkyiOAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e768e3eb031b3718cf4ca449229525ab264f8ad487470f74737918f179971d18","last_reissued_at":"2026-05-18T03:08:16.868739Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:08:16.868739Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The connected components of the space of Alexandrov surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.MG","authors_text":"Costin V\\^ilcu, Jo\\\"el Rouyer","submitted_at":"2013-10-31T13:24:01Z","abstract_excerpt":"Denote by $\\mathcal{A}(\\kappa)$ the set of all compact Alexandrov surfaces with curvature bounded below by $\\kappa$ without boundary, endowed with the topology induced by the Gromov-Hausdorff metric. We determine the connected components of $\\mathcal{A}(\\kappa)$ and of its closure."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.8491","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":"1310.8491","created_at":"2026-05-18T03:08:16.868869+00:00"},{"alias_kind":"arxiv_version","alias_value":"1310.8491v1","created_at":"2026-05-18T03:08:16.868869+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.8491","created_at":"2026-05-18T03:08:16.868869+00:00"},{"alias_kind":"pith_short_12","alias_value":"45UOH2YDDM3R","created_at":"2026-05-18T12:27:32.513160+00:00"},{"alias_kind":"pith_short_16","alias_value":"45UOH2YDDM3RRT2M","created_at":"2026-05-18T12:27:32.513160+00:00"},{"alias_kind":"pith_short_8","alias_value":"45UOH2YD","created_at":"2026-05-18T12:27:32.513160+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/45UOH2YDDM3RRT2MURESFFJFVM","json":"https://pith.science/pith/45UOH2YDDM3RRT2MURESFFJFVM.json","graph_json":"https://pith.science/api/pith-number/45UOH2YDDM3RRT2MURESFFJFVM/graph.json","events_json":"https://pith.science/api/pith-number/45UOH2YDDM3RRT2MURESFFJFVM/events.json","paper":"https://pith.science/paper/45UOH2YD"},"agent_actions":{"view_html":"https://pith.science/pith/45UOH2YDDM3RRT2MURESFFJFVM","download_json":"https://pith.science/pith/45UOH2YDDM3RRT2MURESFFJFVM.json","view_paper":"https://pith.science/paper/45UOH2YD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1310.8491&json=true","fetch_graph":"https://pith.science/api/pith-number/45UOH2YDDM3RRT2MURESFFJFVM/graph.json","fetch_events":"https://pith.science/api/pith-number/45UOH2YDDM3RRT2MURESFFJFVM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/45UOH2YDDM3RRT2MURESFFJFVM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/45UOH2YDDM3RRT2MURESFFJFVM/action/storage_attestation","attest_author":"https://pith.science/pith/45UOH2YDDM3RRT2MURESFFJFVM/action/author_attestation","sign_citation":"https://pith.science/pith/45UOH2YDDM3RRT2MURESFFJFVM/action/citation_signature","submit_replication":"https://pith.science/pith/45UOH2YDDM3RRT2MURESFFJFVM/action/replication_record"}},"created_at":"2026-05-18T03:08:16.868869+00:00","updated_at":"2026-05-18T03:08:16.868869+00:00"}