{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:HKFEAPQVWT3ME4AOD3TOD57IZA","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"9f87ca4b9f04d8499e4ca703aba370a8a4db8488d26cab57cce885fa93772fdb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-04-15T15:30:35Z","title_canon_sha256":"73dda5df86579b8d59cede33703ee951aabd901409c5c8f415cb9ef3f5e54331"},"schema_version":"1.0","source":{"id":"1904.07121","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.07121","created_at":"2026-05-17T23:48:35Z"},{"alias_kind":"arxiv_version","alias_value":"1904.07121v1","created_at":"2026-05-17T23:48:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.07121","created_at":"2026-05-17T23:48:35Z"},{"alias_kind":"pith_short_12","alias_value":"HKFEAPQVWT3M","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"HKFEAPQVWT3ME4AO","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"HKFEAPQV","created_at":"2026-05-18T12:33:18Z"}],"graph_snapshots":[{"event_id":"sha256:c57afb63742dcbd5c62400fd2af1356c9cfe0f92e3d0a9c14ec932d40b07d4cf","target":"graph","created_at":"2026-05-17T23:48:35Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We compute the Archimedean doubling zeta integrals which appear in the interpolation formulas for the p-adic L-functions of Siegel modular forms, and verify that they agree with the modified Archimedean Euler factors for p-adic interpolation conjectured by Coates--Perrin-Riou.","authors_text":"Zheng Liu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-04-15T15:30:35Z","title":"The doubling Archimedean zeta integrals for p-adic interpolation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.07121","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:c64f873e024a4a43c85ffaa595cb1ef9dd20c5c70c22870bc33108f0445a9607","target":"record","created_at":"2026-05-17T23:48:35Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"9f87ca4b9f04d8499e4ca703aba370a8a4db8488d26cab57cce885fa93772fdb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-04-15T15:30:35Z","title_canon_sha256":"73dda5df86579b8d59cede33703ee951aabd901409c5c8f415cb9ef3f5e54331"},"schema_version":"1.0","source":{"id":"1904.07121","kind":"arxiv","version":1}},"canonical_sha256":"3a8a403e15b4f6c2700e1ee6e1f7e8c82f10843893bd139e65adae6e89245cc5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3a8a403e15b4f6c2700e1ee6e1f7e8c82f10843893bd139e65adae6e89245cc5","first_computed_at":"2026-05-17T23:48:35.217187Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:48:35.217187Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WKEc6Qs5huQkqssON5pEE40ImUFCA67pRLEfRkhyed4g5Ganjkbx2wFMKfe1Yf3g5AXwicEfXiOZgZ6XyKbLBQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:48:35.217704Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.07121","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c64f873e024a4a43c85ffaa595cb1ef9dd20c5c70c22870bc33108f0445a9607","sha256:c57afb63742dcbd5c62400fd2af1356c9cfe0f92e3d0a9c14ec932d40b07d4cf"],"state_sha256":"a77b23ee2cbd5dd67088687b370e5d47d62e8f00d573c34412d22a6942d5bc31"}