{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:Z32SHF52M6KNEBQHXPNZW3B6SW","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":"f06aff889efe9a052337c675b1457b0aadab10fe5a9562cf7b0f832e795895b2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2025-05-19T10:35:00Z","title_canon_sha256":"1c71e3b53ed9483f818dccd32da10635e0d4af17e22f37d36175782c5dfe3e8c"},"schema_version":"1.0","source":{"id":"2505.12947","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.12947","created_at":"2026-07-05T11:05:12Z"},{"alias_kind":"arxiv_version","alias_value":"2505.12947v1","created_at":"2026-07-05T11:05:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.12947","created_at":"2026-07-05T11:05:12Z"},{"alias_kind":"pith_short_12","alias_value":"Z32SHF52M6KN","created_at":"2026-07-05T11:05:12Z"},{"alias_kind":"pith_short_16","alias_value":"Z32SHF52M6KNEBQH","created_at":"2026-07-05T11:05:12Z"},{"alias_kind":"pith_short_8","alias_value":"Z32SHF52","created_at":"2026-07-05T11:05:12Z"}],"graph_snapshots":[{"event_id":"sha256:ec303269f4402a32c7476581185bb94b60b83457dfc20b9b63102f7dea8ef82e","target":"graph","created_at":"2026-07-05T11:05:12Z","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/2505.12947/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a practical, unconditional algorithm for determining the $S$-integral points on any elliptic moduli problem $\\mathcal{Y}/\\mathbb{Z}[1/S]$ -- that is, on any geometrically connected curve carrying a non-isotrivial elliptic fibration $\\mathcal{E} \\to \\mathcal{Y}$. The associated map $\\Phi_M\\colon \\mathcal{Y} \\to \\mathcal{M}_{1,1}$ (the modular period map) plays the role ordinarily filled by a $p$-adic period map in Chabauty-type methods. Our Modular Chabauty method studies the image and fibres of $\\Phi_M$, and proceeds in two steps: an Effective Shafarevich step, in which we combine t","authors_text":"Sa'ar Zehavi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2025-05-19T10:35:00Z","title":"Modular Chabauty: Effective S-Integral Point Computation On Curves with Elliptic Fibrations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.12947","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":"sha256:0d79540351104a88e5a4f96ae42a4a163f6a838d4ccf39bb9ae42c8841408ef2","target":"record","created_at":"2026-07-05T11:05:12Z","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":"f06aff889efe9a052337c675b1457b0aadab10fe5a9562cf7b0f832e795895b2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2025-05-19T10:35:00Z","title_canon_sha256":"1c71e3b53ed9483f818dccd32da10635e0d4af17e22f37d36175782c5dfe3e8c"},"schema_version":"1.0","source":{"id":"2505.12947","kind":"arxiv","version":1}},"canonical_sha256":"cef52397ba6794d20607bbdb9b6c3e95b8c14c44a06c2e9f2c70196b1443d6e6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cef52397ba6794d20607bbdb9b6c3e95b8c14c44a06c2e9f2c70196b1443d6e6","first_computed_at":"2026-07-05T11:05:12.351815Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:05:12.351815Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gY7TvEUYhIfRTaKscCRlxgZsF7fl71tCNaQE78phvUMVW77OfcsHVVwqyKObi5mU6whjCfIEWWjq9pFXEv7FAg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:05:12.352329Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.12947","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0d79540351104a88e5a4f96ae42a4a163f6a838d4ccf39bb9ae42c8841408ef2","sha256:ec303269f4402a32c7476581185bb94b60b83457dfc20b9b63102f7dea8ef82e"],"state_sha256":"1cddc7e34a36d0093a4a781a12aedca8c5d73ffc8254143a1d88ecd4618f1b2b"}