{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:JUY6NM23QNX7G5S3KPBW33SL3R","short_pith_number":"pith:JUY6NM23","canonical_record":{"source":{"id":"2508.10592","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.NT","submitted_at":"2025-08-14T12:32:57Z","cross_cats_sorted":[],"title_canon_sha256":"f9212c96f7251692c9aaddd72a70f676460d4a7405e98b617b6df64a6ebe76d4","abstract_canon_sha256":"8254af12693d28bc747cf73ab7e09bf22b728e5cfb4127e4fa31d34556676025"},"schema_version":"1.0"},"canonical_sha256":"4d31e6b35b836ff3765b53c36dee4bdc6722c5f995da02469cd059572ced7000","source":{"kind":"arxiv","id":"2508.10592","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.10592","created_at":"2026-07-05T11:53:58Z"},{"alias_kind":"arxiv_version","alias_value":"2508.10592v1","created_at":"2026-07-05T11:53:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.10592","created_at":"2026-07-05T11:53:58Z"},{"alias_kind":"pith_short_12","alias_value":"JUY6NM23QNX7","created_at":"2026-07-05T11:53:58Z"},{"alias_kind":"pith_short_16","alias_value":"JUY6NM23QNX7G5S3","created_at":"2026-07-05T11:53:58Z"},{"alias_kind":"pith_short_8","alias_value":"JUY6NM23","created_at":"2026-07-05T11:53:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:JUY6NM23QNX7G5S3KPBW33SL3R","target":"record","payload":{"canonical_record":{"source":{"id":"2508.10592","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.NT","submitted_at":"2025-08-14T12:32:57Z","cross_cats_sorted":[],"title_canon_sha256":"f9212c96f7251692c9aaddd72a70f676460d4a7405e98b617b6df64a6ebe76d4","abstract_canon_sha256":"8254af12693d28bc747cf73ab7e09bf22b728e5cfb4127e4fa31d34556676025"},"schema_version":"1.0"},"canonical_sha256":"4d31e6b35b836ff3765b53c36dee4bdc6722c5f995da02469cd059572ced7000","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:53:58.863176Z","signature_b64":"dp83ewiljOekm6NCWotgHovv/kY7N53bpQflt023aJ8Ax0Qb6BY6jtXnU786w2vZt2TN0wusAvU0MEiaUMYODA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4d31e6b35b836ff3765b53c36dee4bdc6722c5f995da02469cd059572ced7000","last_reissued_at":"2026-07-05T11:53:58.862543Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:53:58.862543Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2508.10592","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:53:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KdlgOiZlyrhcQYtpK1oOY7xQ1rOREo9d/SR1bXwSEr1kSx9jokiLmanlsbTJc0IfR/WlFJ7suSX8IA9YEhBwDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T03:28:48.700533Z"},"content_sha256":"6b90784aac84c12284c0aecf0e596a6d3a78993ee4a8a749abba44ef9aebab2a","schema_version":"1.0","event_id":"sha256:6b90784aac84c12284c0aecf0e596a6d3a78993ee4a8a749abba44ef9aebab2a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:JUY6NM23QNX7G5S3KPBW33SL3R","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Jacob's ladders, our asymptotic formulae (1981) and next $\\zeta$-equivalents of the Fermat-Wiles theorem together with decomposition and synthesis of the Riemann's $\\zeta$-oscillators","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Jan Moser","submitted_at":"2025-08-14T12:32:57Z","abstract_excerpt":"In this paper we obtain new $\\zeta$-equivalents of the Fermat-Wiles theorem. These are generated by our asymptotic formulae (1981) which brought $33.3\\%$ improvement of the Hardy-Littlewood exponent $\\frac 14$ dated 1918."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.10592","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/2508.10592/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:53:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WpEl50qXpDQoGex/u/81Rro2CZz9dslfUnojugoy0Lfddn0nYyTGwgCaK9pAG/sKe+D1rtOc9whMyXaci4qiBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T03:28:48.701025Z"},"content_sha256":"0c56ef7d4dcdbd53e1ce840890ee5aa0e000122d9fd9ba23bd7f432c33c8c18f","schema_version":"1.0","event_id":"sha256:0c56ef7d4dcdbd53e1ce840890ee5aa0e000122d9fd9ba23bd7f432c33c8c18f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JUY6NM23QNX7G5S3KPBW33SL3R/bundle.json","state_url":"https://pith.science/pith/JUY6NM23QNX7G5S3KPBW33SL3R/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JUY6NM23QNX7G5S3KPBW33SL3R/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-13T03:28:48Z","links":{"resolver":"https://pith.science/pith/JUY6NM23QNX7G5S3KPBW33SL3R","bundle":"https://pith.science/pith/JUY6NM23QNX7G5S3KPBW33SL3R/bundle.json","state":"https://pith.science/pith/JUY6NM23QNX7G5S3KPBW33SL3R/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JUY6NM23QNX7G5S3KPBW33SL3R/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:JUY6NM23QNX7G5S3KPBW33SL3R","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":"8254af12693d28bc747cf73ab7e09bf22b728e5cfb4127e4fa31d34556676025","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.NT","submitted_at":"2025-08-14T12:32:57Z","title_canon_sha256":"f9212c96f7251692c9aaddd72a70f676460d4a7405e98b617b6df64a6ebe76d4"},"schema_version":"1.0","source":{"id":"2508.10592","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.10592","created_at":"2026-07-05T11:53:58Z"},{"alias_kind":"arxiv_version","alias_value":"2508.10592v1","created_at":"2026-07-05T11:53:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.10592","created_at":"2026-07-05T11:53:58Z"},{"alias_kind":"pith_short_12","alias_value":"JUY6NM23QNX7","created_at":"2026-07-05T11:53:58Z"},{"alias_kind":"pith_short_16","alias_value":"JUY6NM23QNX7G5S3","created_at":"2026-07-05T11:53:58Z"},{"alias_kind":"pith_short_8","alias_value":"JUY6NM23","created_at":"2026-07-05T11:53:58Z"}],"graph_snapshots":[{"event_id":"sha256:0c56ef7d4dcdbd53e1ce840890ee5aa0e000122d9fd9ba23bd7f432c33c8c18f","target":"graph","created_at":"2026-07-05T11:53:58Z","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/2508.10592/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper we obtain new $\\zeta$-equivalents of the Fermat-Wiles theorem. These are generated by our asymptotic formulae (1981) which brought $33.3\\%$ improvement of the Hardy-Littlewood exponent $\\frac 14$ dated 1918.","authors_text":"Jan Moser","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.NT","submitted_at":"2025-08-14T12:32:57Z","title":"Jacob's ladders, our asymptotic formulae (1981) and next $\\zeta$-equivalents of the Fermat-Wiles theorem together with decomposition and synthesis of the Riemann's $\\zeta$-oscillators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.10592","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":"sha256:6b90784aac84c12284c0aecf0e596a6d3a78993ee4a8a749abba44ef9aebab2a","target":"record","created_at":"2026-07-05T11:53:58Z","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":"8254af12693d28bc747cf73ab7e09bf22b728e5cfb4127e4fa31d34556676025","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.NT","submitted_at":"2025-08-14T12:32:57Z","title_canon_sha256":"f9212c96f7251692c9aaddd72a70f676460d4a7405e98b617b6df64a6ebe76d4"},"schema_version":"1.0","source":{"id":"2508.10592","kind":"arxiv","version":1}},"canonical_sha256":"4d31e6b35b836ff3765b53c36dee4bdc6722c5f995da02469cd059572ced7000","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4d31e6b35b836ff3765b53c36dee4bdc6722c5f995da02469cd059572ced7000","first_computed_at":"2026-07-05T11:53:58.862543Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:53:58.862543Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dp83ewiljOekm6NCWotgHovv/kY7N53bpQflt023aJ8Ax0Qb6BY6jtXnU786w2vZt2TN0wusAvU0MEiaUMYODA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:53:58.863176Z","signed_message":"canonical_sha256_bytes"},"source_id":"2508.10592","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6b90784aac84c12284c0aecf0e596a6d3a78993ee4a8a749abba44ef9aebab2a","sha256:0c56ef7d4dcdbd53e1ce840890ee5aa0e000122d9fd9ba23bd7f432c33c8c18f"],"state_sha256":"9ce3df4fa01c26a2c7c46172f2ca598f7eca4e6b71c1760946ccb623fbb30dc1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wMObrzNO3Ex+gltI0EzzQhdgVgZY7lGv4S7y30iDMAX9QEC6hWwvA0LfOuwc8gYLBGDdOHKnHmmewbZ+sKTfBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T03:28:48.706265Z","bundle_sha256":"2607db4ada9cd36b7443dd48a4d738cff2db41059a6429626dcead0253cc936e"}}