{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:N5WZFVE3KRXVQLM2DHB4XHEULK","short_pith_number":"pith:N5WZFVE3","schema_version":"1.0","canonical_sha256":"6f6d92d49b546f582d9a19c3cb9c945a8569a61e0cbfd93b39c7e507deb5e1d2","source":{"kind":"arxiv","id":"1010.1380","version":1},"attestation_state":"computed","paper":{"title":"Hyperbolic polygons of minimal perimeter with given angles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Joan Porti","submitted_at":"2010-10-07T09:44:38Z","abstract_excerpt":"We prove that, among all convex hyperbolic polygons with given angles, the perimeter is minimized by the unique polygon with an inscribed circle. The proof relies on work of J.-M.\\ Schlenker."},"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":"1010.1380","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2010-10-07T09:44:38Z","cross_cats_sorted":[],"title_canon_sha256":"9c741fc49e87d7fe996dd3a33ffd05db01e74706afd2d01ab80db34961e64f16","abstract_canon_sha256":"40be74ad3d20d86ab323d257bcfee97926c350ca80832fde59c8c51e36d1c821"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:39:41.275586Z","signature_b64":"aHPBQyPFzFir8EZN1MXF9/An4ApkwVTYxwLGdhJez5HbZQ/dlsH76YaXfe51m/t7E2bcjISJ+iP6Wp7euDYMBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6f6d92d49b546f582d9a19c3cb9c945a8569a61e0cbfd93b39c7e507deb5e1d2","last_reissued_at":"2026-05-18T04:39:41.275066Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:39:41.275066Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hyperbolic polygons of minimal perimeter with given angles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Joan Porti","submitted_at":"2010-10-07T09:44:38Z","abstract_excerpt":"We prove that, among all convex hyperbolic polygons with given angles, the perimeter is minimized by the unique polygon with an inscribed circle. The proof relies on work of J.-M.\\ Schlenker."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.1380","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":"1010.1380","created_at":"2026-05-18T04:39:41.275144+00:00"},{"alias_kind":"arxiv_version","alias_value":"1010.1380v1","created_at":"2026-05-18T04:39:41.275144+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.1380","created_at":"2026-05-18T04:39:41.275144+00:00"},{"alias_kind":"pith_short_12","alias_value":"N5WZFVE3KRXV","created_at":"2026-05-18T12:26:10.704358+00:00"},{"alias_kind":"pith_short_16","alias_value":"N5WZFVE3KRXVQLM2","created_at":"2026-05-18T12:26:10.704358+00:00"},{"alias_kind":"pith_short_8","alias_value":"N5WZFVE3","created_at":"2026-05-18T12:26:10.704358+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/N5WZFVE3KRXVQLM2DHB4XHEULK","json":"https://pith.science/pith/N5WZFVE3KRXVQLM2DHB4XHEULK.json","graph_json":"https://pith.science/api/pith-number/N5WZFVE3KRXVQLM2DHB4XHEULK/graph.json","events_json":"https://pith.science/api/pith-number/N5WZFVE3KRXVQLM2DHB4XHEULK/events.json","paper":"https://pith.science/paper/N5WZFVE3"},"agent_actions":{"view_html":"https://pith.science/pith/N5WZFVE3KRXVQLM2DHB4XHEULK","download_json":"https://pith.science/pith/N5WZFVE3KRXVQLM2DHB4XHEULK.json","view_paper":"https://pith.science/paper/N5WZFVE3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1010.1380&json=true","fetch_graph":"https://pith.science/api/pith-number/N5WZFVE3KRXVQLM2DHB4XHEULK/graph.json","fetch_events":"https://pith.science/api/pith-number/N5WZFVE3KRXVQLM2DHB4XHEULK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/N5WZFVE3KRXVQLM2DHB4XHEULK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/N5WZFVE3KRXVQLM2DHB4XHEULK/action/storage_attestation","attest_author":"https://pith.science/pith/N5WZFVE3KRXVQLM2DHB4XHEULK/action/author_attestation","sign_citation":"https://pith.science/pith/N5WZFVE3KRXVQLM2DHB4XHEULK/action/citation_signature","submit_replication":"https://pith.science/pith/N5WZFVE3KRXVQLM2DHB4XHEULK/action/replication_record"}},"created_at":"2026-05-18T04:39:41.275144+00:00","updated_at":"2026-05-18T04:39:41.275144+00:00"}