{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:AHG6O4BSQUTNKTIOY5LUS3VCD7","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":"61f3ffe62de62f038366260b1b2bc7c537a0151dcec50bee5b519f97a0eeb457","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2025-07-09T10:32:26Z","title_canon_sha256":"04e9e3dac515193120e8911f48597820a1a241df64331208a9b471b069d54745"},"schema_version":"1.0","source":{"id":"2507.06724","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.06724","created_at":"2026-07-05T11:34:22Z"},{"alias_kind":"arxiv_version","alias_value":"2507.06724v1","created_at":"2026-07-05T11:34:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.06724","created_at":"2026-07-05T11:34:22Z"},{"alias_kind":"pith_short_12","alias_value":"AHG6O4BSQUTN","created_at":"2026-07-05T11:34:22Z"},{"alias_kind":"pith_short_16","alias_value":"AHG6O4BSQUTNKTIO","created_at":"2026-07-05T11:34:22Z"},{"alias_kind":"pith_short_8","alias_value":"AHG6O4BS","created_at":"2026-07-05T11:34:22Z"}],"graph_snapshots":[{"event_id":"sha256:dd9928b400d06d69f6e8e2b9222fdd560f8d6a645794896ce387a4ceaec57eba","target":"graph","created_at":"2026-07-05T11:34:22Z","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/2507.06724/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper we obtain new infinite sets of $\\zeta$-equivalents of the Fermat-Wiles theorem based on the elementary Fourier orthogonal system, Riemann's zeta-function and Jacob's ladders.","authors_text":"Jan Moser","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2025-07-09T10:32:26Z","title":"Jacob's ladders, $\\zeta$-transformation of the Fourier orthogonal system (2014) and new infinite sets of $\\zeta$-equivalents of the Fermat-Wiles theorem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.06724","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":"sha256:1d7589debba5a254190344bbd7d3c5dda3eae0965c4bfa6755d208ba7313bc08","target":"record","created_at":"2026-07-05T11:34:22Z","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":"61f3ffe62de62f038366260b1b2bc7c537a0151dcec50bee5b519f97a0eeb457","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2025-07-09T10:32:26Z","title_canon_sha256":"04e9e3dac515193120e8911f48597820a1a241df64331208a9b471b069d54745"},"schema_version":"1.0","source":{"id":"2507.06724","kind":"arxiv","version":1}},"canonical_sha256":"01cde770328526d54d0ec757496ea21fca34e99c80996a8bd44df2963281522a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"01cde770328526d54d0ec757496ea21fca34e99c80996a8bd44df2963281522a","first_computed_at":"2026-07-05T11:34:22.091251Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:34:22.091251Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VkuSTlYNvyk90FA0P6ciJyTTAcW5AWaZUBWWI/PoqfrDA0G1AMdeLflhWNovS1gX5gURE/+6bUDHwItmYHzqBg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:34:22.091817Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.06724","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1d7589debba5a254190344bbd7d3c5dda3eae0965c4bfa6755d208ba7313bc08","sha256:dd9928b400d06d69f6e8e2b9222fdd560f8d6a645794896ce387a4ceaec57eba"],"state_sha256":"4d55c85fcd6baebac2a5c9f9d000d3e2acbb94b7a46666ecebb72345bfde4e32"}