{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:ZPCZERVEI36XKRJXBG7KUWE3KL","short_pith_number":"pith:ZPCZERVE","schema_version":"1.0","canonical_sha256":"cbc59246a446fd75453709beaa589b52c9865e06b1ea798567d9558ccad486fb","source":{"kind":"arxiv","id":"1304.0292","version":2},"attestation_state":"computed","paper":{"title":"Semiconcave functions in Alexandrov's geometry","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Anton Petrunin","submitted_at":"2013-04-01T03:56:21Z","abstract_excerpt":"The following is a compilation of some techniques in Alexandrov's geometry which are directly connected to convexity."},"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":"1304.0292","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2013-04-01T03:56:21Z","cross_cats_sorted":[],"title_canon_sha256":"3de2b34cf536aa1b5b988114b5851591e1b0e1d43fd9d365a6475bc8c6a21770","abstract_canon_sha256":"811eb1eb97cda51be04a1e0120737dc1f14d28e56ca49aa4379ed51d6d82c752"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:11:24.173096Z","signature_b64":"5rcDDm0EzzgZ/i4ESDoDYA1dNG0zt/mNLhH6RA6ckklIyzyFS2xuN8+GTp5Uxh8RsAkK4vnzA3Rloo2Z3jJJCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cbc59246a446fd75453709beaa589b52c9865e06b1ea798567d9558ccad486fb","last_reissued_at":"2026-05-18T00:11:24.172464Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:11:24.172464Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Semiconcave functions in Alexandrov's geometry","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Anton Petrunin","submitted_at":"2013-04-01T03:56:21Z","abstract_excerpt":"The following is a compilation of some techniques in Alexandrov's geometry which are directly connected to convexity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.0292","kind":"arxiv","version":2},"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":"1304.0292","created_at":"2026-05-18T00:11:24.172557+00:00"},{"alias_kind":"arxiv_version","alias_value":"1304.0292v2","created_at":"2026-05-18T00:11:24.172557+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.0292","created_at":"2026-05-18T00:11:24.172557+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZPCZERVEI36X","created_at":"2026-05-18T12:28:09.283467+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZPCZERVEI36XKRJX","created_at":"2026-05-18T12:28:09.283467+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZPCZERVE","created_at":"2026-05-18T12:28:09.283467+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/ZPCZERVEI36XKRJXBG7KUWE3KL","json":"https://pith.science/pith/ZPCZERVEI36XKRJXBG7KUWE3KL.json","graph_json":"https://pith.science/api/pith-number/ZPCZERVEI36XKRJXBG7KUWE3KL/graph.json","events_json":"https://pith.science/api/pith-number/ZPCZERVEI36XKRJXBG7KUWE3KL/events.json","paper":"https://pith.science/paper/ZPCZERVE"},"agent_actions":{"view_html":"https://pith.science/pith/ZPCZERVEI36XKRJXBG7KUWE3KL","download_json":"https://pith.science/pith/ZPCZERVEI36XKRJXBG7KUWE3KL.json","view_paper":"https://pith.science/paper/ZPCZERVE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1304.0292&json=true","fetch_graph":"https://pith.science/api/pith-number/ZPCZERVEI36XKRJXBG7KUWE3KL/graph.json","fetch_events":"https://pith.science/api/pith-number/ZPCZERVEI36XKRJXBG7KUWE3KL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZPCZERVEI36XKRJXBG7KUWE3KL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZPCZERVEI36XKRJXBG7KUWE3KL/action/storage_attestation","attest_author":"https://pith.science/pith/ZPCZERVEI36XKRJXBG7KUWE3KL/action/author_attestation","sign_citation":"https://pith.science/pith/ZPCZERVEI36XKRJXBG7KUWE3KL/action/citation_signature","submit_replication":"https://pith.science/pith/ZPCZERVEI36XKRJXBG7KUWE3KL/action/replication_record"}},"created_at":"2026-05-18T00:11:24.172557+00:00","updated_at":"2026-05-18T00:11:24.172557+00:00"}