{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:VJP2225IXSVS6CCGZPVJEFIDRS","short_pith_number":"pith:VJP2225I","schema_version":"1.0","canonical_sha256":"aa5fad6ba8bcab2f0846cbea9215038cb49b8e40a2832cdb46f229842ec66abe","source":{"kind":"arxiv","id":"2501.17474","version":1},"attestation_state":"computed","paper":{"title":"A $p$-adic Gross-Zagier formula for twisted triple product $p$-adic $L$-functions attached to finite slope families","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.NT","authors_text":"Ananyo Kazi, Ting-Han Huang","submitted_at":"2025-01-29T08:35:40Z","abstract_excerpt":"Our main objective in the present paper is to generalise the work of Blanco-Chac\\'{o}n and Fornea on the $p$-adic Gross-Zagier formula for twisted triple product $p$-aidc $L$-function. We extend their main result to the case of finite slope families of Hilbert modular forms and also allow the prime $p$ to be inert in the real quadratic field $L$."},"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":"2501.17474","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2025-01-29T08:35:40Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"3d53ddfbbf5b705fde816efbec54cb8359c2af284bfecb1f41d498f2c64cbe95","abstract_canon_sha256":"d60b3272683c5a57b4c058e17f68f894efb5960c30cff5764091b6396860d34f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:06:53.453445Z","signature_b64":"8e96I1l+6Ny++QeqlNEfzNyodhlQNq4sj2azF2B8zTMwqUOyNLI6dcgknZr8Uq7WSj6w8P2kectNx192yil0Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aa5fad6ba8bcab2f0846cbea9215038cb49b8e40a2832cdb46f229842ec66abe","last_reissued_at":"2026-07-05T10:06:53.453004Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:06:53.453004Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A $p$-adic Gross-Zagier formula for twisted triple product $p$-adic $L$-functions attached to finite slope families","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.NT","authors_text":"Ananyo Kazi, Ting-Han Huang","submitted_at":"2025-01-29T08:35:40Z","abstract_excerpt":"Our main objective in the present paper is to generalise the work of Blanco-Chac\\'{o}n and Fornea on the $p$-adic Gross-Zagier formula for twisted triple product $p$-aidc $L$-function. We extend their main result to the case of finite slope families of Hilbert modular forms and also allow the prime $p$ to be inert in the real quadratic field $L$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.17474","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/2501.17474/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":"2501.17474","created_at":"2026-07-05T10:06:53.453059+00:00"},{"alias_kind":"arxiv_version","alias_value":"2501.17474v1","created_at":"2026-07-05T10:06:53.453059+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.17474","created_at":"2026-07-05T10:06:53.453059+00:00"},{"alias_kind":"pith_short_12","alias_value":"VJP2225IXSVS","created_at":"2026-07-05T10:06:53.453059+00:00"},{"alias_kind":"pith_short_16","alias_value":"VJP2225IXSVS6CCG","created_at":"2026-07-05T10:06:53.453059+00:00"},{"alias_kind":"pith_short_8","alias_value":"VJP2225I","created_at":"2026-07-05T10:06:53.453059+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/VJP2225IXSVS6CCGZPVJEFIDRS","json":"https://pith.science/pith/VJP2225IXSVS6CCGZPVJEFIDRS.json","graph_json":"https://pith.science/api/pith-number/VJP2225IXSVS6CCGZPVJEFIDRS/graph.json","events_json":"https://pith.science/api/pith-number/VJP2225IXSVS6CCGZPVJEFIDRS/events.json","paper":"https://pith.science/paper/VJP2225I"},"agent_actions":{"view_html":"https://pith.science/pith/VJP2225IXSVS6CCGZPVJEFIDRS","download_json":"https://pith.science/pith/VJP2225IXSVS6CCGZPVJEFIDRS.json","view_paper":"https://pith.science/paper/VJP2225I","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2501.17474&json=true","fetch_graph":"https://pith.science/api/pith-number/VJP2225IXSVS6CCGZPVJEFIDRS/graph.json","fetch_events":"https://pith.science/api/pith-number/VJP2225IXSVS6CCGZPVJEFIDRS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VJP2225IXSVS6CCGZPVJEFIDRS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VJP2225IXSVS6CCGZPVJEFIDRS/action/storage_attestation","attest_author":"https://pith.science/pith/VJP2225IXSVS6CCGZPVJEFIDRS/action/author_attestation","sign_citation":"https://pith.science/pith/VJP2225IXSVS6CCGZPVJEFIDRS/action/citation_signature","submit_replication":"https://pith.science/pith/VJP2225IXSVS6CCGZPVJEFIDRS/action/replication_record"}},"created_at":"2026-07-05T10:06:53.453059+00:00","updated_at":"2026-07-05T10:06:53.453059+00:00"}