{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:Z3B3GKUAEQSSORKJOG6MNSJRVE","short_pith_number":"pith:Z3B3GKUA","schema_version":"1.0","canonical_sha256":"cec3b32a80242527454971bcc6c931a922e1deeb75c7fe03fc604b436cba5396","source":{"kind":"arxiv","id":"2203.16971","version":5},"attestation_state":"computed","paper":{"title":"Dual metrics on the boundary of strictly polyhedral hyperbolic 3-manifolds","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.MG","authors_text":"Roman Prosanov","submitted_at":"2022-03-31T11:43:08Z","abstract_excerpt":"Let $M$ be a compact oriented 3-manifold with non-empty boundary consisting of surfaces of genii $>1$ such that the interior of $M$ is hyperbolizable. We show that for each spherical cone-metric $d$ on $\\partial M$ such that all cone-angles are greater than $2\\pi$ and the lengths of all closed geodesics that are contractible in $M$ are greater than $2\\pi$ there exists a unique strictly polyhedral hyperbolic metric on $M$ such that $d$ is the induced dual metric on $\\partial M$."},"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":"2203.16971","kind":"arxiv","version":5},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.MG","submitted_at":"2022-03-31T11:43:08Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"c7927ec5f215e70bb7288db1546a437d4e8b9614d4dc299dd847d39cbdcd4dfd","abstract_canon_sha256":"6eb78fc3bbd9c0c7c16af80c4325c5c66ff197aeb827c65be569a586e206495d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:57:35.350299Z","signature_b64":"Sby2Av4bdYJ3otdDNn9Axdi6A5919SJRSfXlWLC0YwKzEp+5e2tK3JaLWymhJ5XiT7lhe+1ikgSdDfrY9EVDAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cec3b32a80242527454971bcc6c931a922e1deeb75c7fe03fc604b436cba5396","last_reissued_at":"2026-07-05T09:57:35.349786Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:57:35.349786Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dual metrics on the boundary of strictly polyhedral hyperbolic 3-manifolds","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.MG","authors_text":"Roman Prosanov","submitted_at":"2022-03-31T11:43:08Z","abstract_excerpt":"Let $M$ be a compact oriented 3-manifold with non-empty boundary consisting of surfaces of genii $>1$ such that the interior of $M$ is hyperbolizable. We show that for each spherical cone-metric $d$ on $\\partial M$ such that all cone-angles are greater than $2\\pi$ and the lengths of all closed geodesics that are contractible in $M$ are greater than $2\\pi$ there exists a unique strictly polyhedral hyperbolic metric on $M$ such that $d$ is the induced dual metric on $\\partial M$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2203.16971","kind":"arxiv","version":5},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2203.16971/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2203.16971","created_at":"2026-07-05T09:57:35.349850+00:00"},{"alias_kind":"arxiv_version","alias_value":"2203.16971v5","created_at":"2026-07-05T09:57:35.349850+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2203.16971","created_at":"2026-07-05T09:57:35.349850+00:00"},{"alias_kind":"pith_short_12","alias_value":"Z3B3GKUAEQSS","created_at":"2026-07-05T09:57:35.349850+00:00"},{"alias_kind":"pith_short_16","alias_value":"Z3B3GKUAEQSSORKJ","created_at":"2026-07-05T09:57:35.349850+00:00"},{"alias_kind":"pith_short_8","alias_value":"Z3B3GKUA","created_at":"2026-07-05T09:57:35.349850+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/Z3B3GKUAEQSSORKJOG6MNSJRVE","json":"https://pith.science/pith/Z3B3GKUAEQSSORKJOG6MNSJRVE.json","graph_json":"https://pith.science/api/pith-number/Z3B3GKUAEQSSORKJOG6MNSJRVE/graph.json","events_json":"https://pith.science/api/pith-number/Z3B3GKUAEQSSORKJOG6MNSJRVE/events.json","paper":"https://pith.science/paper/Z3B3GKUA"},"agent_actions":{"view_html":"https://pith.science/pith/Z3B3GKUAEQSSORKJOG6MNSJRVE","download_json":"https://pith.science/pith/Z3B3GKUAEQSSORKJOG6MNSJRVE.json","view_paper":"https://pith.science/paper/Z3B3GKUA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2203.16971&json=true","fetch_graph":"https://pith.science/api/pith-number/Z3B3GKUAEQSSORKJOG6MNSJRVE/graph.json","fetch_events":"https://pith.science/api/pith-number/Z3B3GKUAEQSSORKJOG6MNSJRVE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Z3B3GKUAEQSSORKJOG6MNSJRVE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Z3B3GKUAEQSSORKJOG6MNSJRVE/action/storage_attestation","attest_author":"https://pith.science/pith/Z3B3GKUAEQSSORKJOG6MNSJRVE/action/author_attestation","sign_citation":"https://pith.science/pith/Z3B3GKUAEQSSORKJOG6MNSJRVE/action/citation_signature","submit_replication":"https://pith.science/pith/Z3B3GKUAEQSSORKJOG6MNSJRVE/action/replication_record"}},"created_at":"2026-07-05T09:57:35.349850+00:00","updated_at":"2026-07-05T09:57:35.349850+00:00"}