{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:PGKC2JT22GC2DL36JXFNS3YSHF","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":"23a418be4732b23236ea2717eefd25315dfe7ca71d4f502592443907222b5482","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2020-10-21T13:05:08Z","title_canon_sha256":"3c4eb36d6f0cc944b91ba6fd80f8e5c67a63c1779136554fa7aea1c1f25d44e0"},"schema_version":"1.0","source":{"id":"2010.10974","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2010.10974","created_at":"2026-07-05T08:47:03Z"},{"alias_kind":"arxiv_version","alias_value":"2010.10974v2","created_at":"2026-07-05T08:47:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.10974","created_at":"2026-07-05T08:47:03Z"},{"alias_kind":"pith_short_12","alias_value":"PGKC2JT22GC2","created_at":"2026-07-05T08:47:03Z"},{"alias_kind":"pith_short_16","alias_value":"PGKC2JT22GC2DL36","created_at":"2026-07-05T08:47:03Z"},{"alias_kind":"pith_short_8","alias_value":"PGKC2JT2","created_at":"2026-07-05T08:47:03Z"}],"graph_snapshots":[{"event_id":"sha256:54929d083b07ccb235b8f764ee31c36930639b4863d215a458d0f3f25be3933c","target":"graph","created_at":"2026-07-05T08:47:03Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2010.10974/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove a conjecture of Matsusaka on the analytic continuationof hyperbolic Eisenstein series in weight $2$ on the full modular group $\\mathrm{SL}_2(\\mathbb{Z})$.","authors_text":"Andreas Mono","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2020-10-21T13:05:08Z","title":"Eisenstein series of even weight $k \\geq 2$ and integral binary quadratic forms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.10974","kind":"arxiv","version":2},"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:d585441f2459ab36ca243f85aa4626e3359b449905540c70d75d14633f9eba5c","target":"record","created_at":"2026-07-05T08:47:03Z","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":"23a418be4732b23236ea2717eefd25315dfe7ca71d4f502592443907222b5482","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2020-10-21T13:05:08Z","title_canon_sha256":"3c4eb36d6f0cc944b91ba6fd80f8e5c67a63c1779136554fa7aea1c1f25d44e0"},"schema_version":"1.0","source":{"id":"2010.10974","kind":"arxiv","version":2}},"canonical_sha256":"79942d267ad185a1af7e4dcad96f123953b0f3f3460440c7a23a8c061754a2ee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"79942d267ad185a1af7e4dcad96f123953b0f3f3460440c7a23a8c061754a2ee","first_computed_at":"2026-07-05T08:47:03.096838Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:47:03.096838Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"I3gPPf1K+23a6eXWMkgaOx8MfZD5tWeFl9qEm4bFmc2Lla0yUwxiv1oZvczb6mf++26zCnQU3hypeSWjE6XaCw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:47:03.097375Z","signed_message":"canonical_sha256_bytes"},"source_id":"2010.10974","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d585441f2459ab36ca243f85aa4626e3359b449905540c70d75d14633f9eba5c","sha256:54929d083b07ccb235b8f764ee31c36930639b4863d215a458d0f3f25be3933c"],"state_sha256":"b1cfe2b61977922a9ee7317621586a3a1ed973ad6076f11739282dd01fdb74c2"}