{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:2PZ47HU7EH7ROOVV5QT4DDYS3A","short_pith_number":"pith:2PZ47HU7","schema_version":"1.0","canonical_sha256":"d3f3cf9e9f21ff173ab5ec27c18f12d82f57f5837aa32f178007436b774ea45f","source":{"kind":"arxiv","id":"1512.03661","version":2},"attestation_state":"computed","paper":{"title":"Hyperbolic four-manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.GT","authors_text":"Bruno Martelli","submitted_at":"2015-12-11T14:37:11Z","abstract_excerpt":"This is a short survey on finite-volume hyperbolic four-manifolds. We describe some general theorems and focus on the concrete examples that we found in the literature. The paper contains no new result."},"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":"1512.03661","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-12-11T14:37:11Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"01d1d13e0bb1feedcc478439de11f42825cbee2c621a54fcf88dd287d0964eb6","abstract_canon_sha256":"15e41f3b51e0382225a838e3ffaf52063d68236cd0e31bab6751964ce1812cc3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:37.682035Z","signature_b64":"+dQBWdVA7a8rN6qYhq1t7B090LvRgO2tMWgQsGlBQqiUNoQWSd2+dxNQc4rK8y7Cuy3WkkLqFcs4PUTY+nwWAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d3f3cf9e9f21ff173ab5ec27c18f12d82f57f5837aa32f178007436b774ea45f","last_reissued_at":"2026-05-18T01:23:37.681378Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:37.681378Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hyperbolic four-manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.GT","authors_text":"Bruno Martelli","submitted_at":"2015-12-11T14:37:11Z","abstract_excerpt":"This is a short survey on finite-volume hyperbolic four-manifolds. We describe some general theorems and focus on the concrete examples that we found in the literature. The paper contains no new result."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.03661","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":"1512.03661","created_at":"2026-05-18T01:23:37.681500+00:00"},{"alias_kind":"arxiv_version","alias_value":"1512.03661v2","created_at":"2026-05-18T01:23:37.681500+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.03661","created_at":"2026-05-18T01:23:37.681500+00:00"},{"alias_kind":"pith_short_12","alias_value":"2PZ47HU7EH7R","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_16","alias_value":"2PZ47HU7EH7ROOVV","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_8","alias_value":"2PZ47HU7","created_at":"2026-05-18T12:29:02.477457+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/2PZ47HU7EH7ROOVV5QT4DDYS3A","json":"https://pith.science/pith/2PZ47HU7EH7ROOVV5QT4DDYS3A.json","graph_json":"https://pith.science/api/pith-number/2PZ47HU7EH7ROOVV5QT4DDYS3A/graph.json","events_json":"https://pith.science/api/pith-number/2PZ47HU7EH7ROOVV5QT4DDYS3A/events.json","paper":"https://pith.science/paper/2PZ47HU7"},"agent_actions":{"view_html":"https://pith.science/pith/2PZ47HU7EH7ROOVV5QT4DDYS3A","download_json":"https://pith.science/pith/2PZ47HU7EH7ROOVV5QT4DDYS3A.json","view_paper":"https://pith.science/paper/2PZ47HU7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1512.03661&json=true","fetch_graph":"https://pith.science/api/pith-number/2PZ47HU7EH7ROOVV5QT4DDYS3A/graph.json","fetch_events":"https://pith.science/api/pith-number/2PZ47HU7EH7ROOVV5QT4DDYS3A/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2PZ47HU7EH7ROOVV5QT4DDYS3A/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2PZ47HU7EH7ROOVV5QT4DDYS3A/action/storage_attestation","attest_author":"https://pith.science/pith/2PZ47HU7EH7ROOVV5QT4DDYS3A/action/author_attestation","sign_citation":"https://pith.science/pith/2PZ47HU7EH7ROOVV5QT4DDYS3A/action/citation_signature","submit_replication":"https://pith.science/pith/2PZ47HU7EH7ROOVV5QT4DDYS3A/action/replication_record"}},"created_at":"2026-05-18T01:23:37.681500+00:00","updated_at":"2026-05-18T01:23:37.681500+00:00"}