{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:XXRCBEAQRH3VEXR3ZJU2SJQDP7","short_pith_number":"pith:XXRCBEAQ","schema_version":"1.0","canonical_sha256":"bde220901089f7525e3bca69a926037fced86fca3c55b9295386b7906e9682fc","source":{"kind":"arxiv","id":"1704.01997","version":1},"attestation_state":"computed","paper":{"title":"Torsional Rigidity and Bergman Analytic Content of Simply Connected Regions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.CA","authors_text":"Brian Simanek, Matthew Fleeman","submitted_at":"2017-04-06T19:30:46Z","abstract_excerpt":"We exploit the equality of Bergman analytic content and torsional rigidity of a simply connected domain to develop a new method for calculating these quantities. This method is particularly suitable for the case when the region in question is a polygon. A large number of examples are computed in explicit detail to demonstrate the utility of our ideas."},"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":"1704.01997","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-04-06T19:30:46Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"53619b080c6a5b75a92fdae9fcdd9e2f3b8d455bc69a6f9ba14a3b0a01d6ccd7","abstract_canon_sha256":"d9c56537dc0f292bb176781821a922ce95e21de177cfa6194153e8d5e7fb1c39"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:04:14.404723Z","signature_b64":"6AlUZwJWYsYyFptbzV5RoRc533fkG7VDXcaFFbIGBl3zwV+vnUxgBwQMivCdgX1BrHmM7WpnzC+qcVr54KkdDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bde220901089f7525e3bca69a926037fced86fca3c55b9295386b7906e9682fc","last_reissued_at":"2026-07-05T03:04:14.404288Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:04:14.404288Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Torsional Rigidity and Bergman Analytic Content of Simply Connected Regions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.CA","authors_text":"Brian Simanek, Matthew Fleeman","submitted_at":"2017-04-06T19:30:46Z","abstract_excerpt":"We exploit the equality of Bergman analytic content and torsional rigidity of a simply connected domain to develop a new method for calculating these quantities. This method is particularly suitable for the case when the region in question is a polygon. A large number of examples are computed in explicit detail to demonstrate the utility of our ideas."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.01997","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1704.01997/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":"1704.01997","created_at":"2026-07-05T03:04:14.404357+00:00"},{"alias_kind":"arxiv_version","alias_value":"1704.01997v1","created_at":"2026-07-05T03:04:14.404357+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.01997","created_at":"2026-07-05T03:04:14.404357+00:00"},{"alias_kind":"pith_short_12","alias_value":"XXRCBEAQRH3V","created_at":"2026-07-05T03:04:14.404357+00:00"},{"alias_kind":"pith_short_16","alias_value":"XXRCBEAQRH3VEXR3","created_at":"2026-07-05T03:04:14.404357+00:00"},{"alias_kind":"pith_short_8","alias_value":"XXRCBEAQ","created_at":"2026-07-05T03:04:14.404357+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.13448","citing_title":"Mixed Torsion on Right Triangles and the P\\'olya--Szeg\\H{o} Monotonicity Problem for Regular Polygons","ref_index":10,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/XXRCBEAQRH3VEXR3ZJU2SJQDP7","json":"https://pith.science/pith/XXRCBEAQRH3VEXR3ZJU2SJQDP7.json","graph_json":"https://pith.science/api/pith-number/XXRCBEAQRH3VEXR3ZJU2SJQDP7/graph.json","events_json":"https://pith.science/api/pith-number/XXRCBEAQRH3VEXR3ZJU2SJQDP7/events.json","paper":"https://pith.science/paper/XXRCBEAQ"},"agent_actions":{"view_html":"https://pith.science/pith/XXRCBEAQRH3VEXR3ZJU2SJQDP7","download_json":"https://pith.science/pith/XXRCBEAQRH3VEXR3ZJU2SJQDP7.json","view_paper":"https://pith.science/paper/XXRCBEAQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1704.01997&json=true","fetch_graph":"https://pith.science/api/pith-number/XXRCBEAQRH3VEXR3ZJU2SJQDP7/graph.json","fetch_events":"https://pith.science/api/pith-number/XXRCBEAQRH3VEXR3ZJU2SJQDP7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XXRCBEAQRH3VEXR3ZJU2SJQDP7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XXRCBEAQRH3VEXR3ZJU2SJQDP7/action/storage_attestation","attest_author":"https://pith.science/pith/XXRCBEAQRH3VEXR3ZJU2SJQDP7/action/author_attestation","sign_citation":"https://pith.science/pith/XXRCBEAQRH3VEXR3ZJU2SJQDP7/action/citation_signature","submit_replication":"https://pith.science/pith/XXRCBEAQRH3VEXR3ZJU2SJQDP7/action/replication_record"}},"created_at":"2026-07-05T03:04:14.404357+00:00","updated_at":"2026-07-05T03:04:14.404357+00:00"}