{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:ACX5IU35AQ4MWQMEFLGG5MAJFI","short_pith_number":"pith:ACX5IU35","schema_version":"1.0","canonical_sha256":"00afd4537d0438cb41842acc6eb0092a18def284515e402ce8f121c1ab4f0e69","source":{"kind":"arxiv","id":"1210.1083","version":1},"attestation_state":"computed","paper":{"title":"Spherical Functions on 2-adic Ramified Hermetian Spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Dror Ozeri","submitted_at":"2012-10-03T12:16:07Z","abstract_excerpt":"Y. Hironaka introduced the spherical functions on the p-adic space of Hermitian matrices. For the space of 2\\times2 Hermitian matrices, we complete Hironaka's work by also considering the case of a wildly ramified quadratic extension. We compute the spherical functions explicitly and obtain the functional equations."},"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":"1210.1083","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-10-03T12:16:07Z","cross_cats_sorted":[],"title_canon_sha256":"511b9db05cd522b0e8585547e12ef61956a8199adacbae509f97fa212171e478","abstract_canon_sha256":"f2813fd156f77f9044863776e5a5832516aeed91303fe4a1ea27827ba83827ec"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:44:05.545806Z","signature_b64":"EhhD/fXQQaOpae3rpwyA+mkbZQY5M1nHNHEB0Z1I7zKY6cSCirg2sCmVO7L30YuVvQhGa5wnMhicBNkyWMBZCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"00afd4537d0438cb41842acc6eb0092a18def284515e402ce8f121c1ab4f0e69","last_reissued_at":"2026-05-18T03:44:05.545133Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:44:05.545133Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spherical Functions on 2-adic Ramified Hermetian Spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Dror Ozeri","submitted_at":"2012-10-03T12:16:07Z","abstract_excerpt":"Y. Hironaka introduced the spherical functions on the p-adic space of Hermitian matrices. For the space of 2\\times2 Hermitian matrices, we complete Hironaka's work by also considering the case of a wildly ramified quadratic extension. We compute the spherical functions explicitly and obtain the functional equations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.1083","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":"1210.1083","created_at":"2026-05-18T03:44:05.545241+00:00"},{"alias_kind":"arxiv_version","alias_value":"1210.1083v1","created_at":"2026-05-18T03:44:05.545241+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.1083","created_at":"2026-05-18T03:44:05.545241+00:00"},{"alias_kind":"pith_short_12","alias_value":"ACX5IU35AQ4M","created_at":"2026-05-18T12:26:58.693483+00:00"},{"alias_kind":"pith_short_16","alias_value":"ACX5IU35AQ4MWQME","created_at":"2026-05-18T12:26:58.693483+00:00"},{"alias_kind":"pith_short_8","alias_value":"ACX5IU35","created_at":"2026-05-18T12:26:58.693483+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/ACX5IU35AQ4MWQMEFLGG5MAJFI","json":"https://pith.science/pith/ACX5IU35AQ4MWQMEFLGG5MAJFI.json","graph_json":"https://pith.science/api/pith-number/ACX5IU35AQ4MWQMEFLGG5MAJFI/graph.json","events_json":"https://pith.science/api/pith-number/ACX5IU35AQ4MWQMEFLGG5MAJFI/events.json","paper":"https://pith.science/paper/ACX5IU35"},"agent_actions":{"view_html":"https://pith.science/pith/ACX5IU35AQ4MWQMEFLGG5MAJFI","download_json":"https://pith.science/pith/ACX5IU35AQ4MWQMEFLGG5MAJFI.json","view_paper":"https://pith.science/paper/ACX5IU35","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1210.1083&json=true","fetch_graph":"https://pith.science/api/pith-number/ACX5IU35AQ4MWQMEFLGG5MAJFI/graph.json","fetch_events":"https://pith.science/api/pith-number/ACX5IU35AQ4MWQMEFLGG5MAJFI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ACX5IU35AQ4MWQMEFLGG5MAJFI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ACX5IU35AQ4MWQMEFLGG5MAJFI/action/storage_attestation","attest_author":"https://pith.science/pith/ACX5IU35AQ4MWQMEFLGG5MAJFI/action/author_attestation","sign_citation":"https://pith.science/pith/ACX5IU35AQ4MWQMEFLGG5MAJFI/action/citation_signature","submit_replication":"https://pith.science/pith/ACX5IU35AQ4MWQMEFLGG5MAJFI/action/replication_record"}},"created_at":"2026-05-18T03:44:05.545241+00:00","updated_at":"2026-05-18T03:44:05.545241+00:00"}