{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:XUMWBAUP56DJQD2IPIUYP56YUF","short_pith_number":"pith:XUMWBAUP","schema_version":"1.0","canonical_sha256":"bd1960828fef86980f487a2987f7d8a14fd5f84e850d21c2b793b04d7a662323","source":{"kind":"arxiv","id":"2505.23238","version":2},"attestation_state":"computed","paper":{"title":"Beweis der Riemannschen Vermutung \\\"uber ein reguliertes normiertes Integralmodell","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.GM","authors_text":"Dennis-Magnus Welz","submitted_at":"2025-05-29T08:39:18Z","abstract_excerpt":"We prove the Riemann Hypothesis via an analytically regulated surface integral over the critical strip of the Riemann zeta function. The key idea is that the convergence of this normalized integral is equivalent to the condition that all non-trivial zeros lie on the critical line. By constructing a singularity-sensitive integrand and removing infinitesimal disks around the poles, we isolate all divergence contributions analytically. The resulting integral model is independent of specific zero locations and provides a purely analytic criterion equivalent to the Riemann Hypothesis."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2505.23238","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GM","submitted_at":"2025-05-29T08:39:18Z","cross_cats_sorted":[],"title_canon_sha256":"816b7515701c3eead979895026bf4669871b9d9d0ea86b6197f2e7f039b97640","abstract_canon_sha256":"3c04d9aa8ab1414efd39e1d7a60c2639a85270bdc8bdc47bd8b1a2f80942f625"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:50:37.258940Z","signature_b64":"O26qO4nVv8k7+8f4tZutCwVNtEQt9dM1wBFbEeJwLbmNp4jEvsC9/pSWs+Da/CZ1DBEEeic/D1ppwTHH+TFXBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bd1960828fef86980f487a2987f7d8a14fd5f84e850d21c2b793b04d7a662323","last_reissued_at":"2026-07-05T11:50:37.258474Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:50:37.258474Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Beweis der Riemannschen Vermutung \\\"uber ein reguliertes normiertes Integralmodell","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.GM","authors_text":"Dennis-Magnus Welz","submitted_at":"2025-05-29T08:39:18Z","abstract_excerpt":"We prove the Riemann Hypothesis via an analytically regulated surface integral over the critical strip of the Riemann zeta function. The key idea is that the convergence of this normalized integral is equivalent to the condition that all non-trivial zeros lie on the critical line. By constructing a singularity-sensitive integrand and removing infinitesimal disks around the poles, we isolate all divergence contributions analytically. The resulting integral model is independent of specific zero locations and provides a purely analytic criterion equivalent to the Riemann Hypothesis."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.23238","kind":"arxiv","version":2},"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/2505.23238/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2505.23238","created_at":"2026-07-05T11:50:37.258530+00:00"},{"alias_kind":"arxiv_version","alias_value":"2505.23238v2","created_at":"2026-07-05T11:50:37.258530+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.23238","created_at":"2026-07-05T11:50:37.258530+00:00"},{"alias_kind":"pith_short_12","alias_value":"XUMWBAUP56DJ","created_at":"2026-07-05T11:50:37.258530+00:00"},{"alias_kind":"pith_short_16","alias_value":"XUMWBAUP56DJQD2I","created_at":"2026-07-05T11:50:37.258530+00:00"},{"alias_kind":"pith_short_8","alias_value":"XUMWBAUP","created_at":"2026-07-05T11:50:37.258530+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2505.23238","citing_title":"Beweis der Riemannschen Vermutung \\\"uber ein reguliertes normiertes Integralmodell","ref_index":4,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/XUMWBAUP56DJQD2IPIUYP56YUF","json":"https://pith.science/pith/XUMWBAUP56DJQD2IPIUYP56YUF.json","graph_json":"https://pith.science/api/pith-number/XUMWBAUP56DJQD2IPIUYP56YUF/graph.json","events_json":"https://pith.science/api/pith-number/XUMWBAUP56DJQD2IPIUYP56YUF/events.json","paper":"https://pith.science/paper/XUMWBAUP"},"agent_actions":{"view_html":"https://pith.science/pith/XUMWBAUP56DJQD2IPIUYP56YUF","download_json":"https://pith.science/pith/XUMWBAUP56DJQD2IPIUYP56YUF.json","view_paper":"https://pith.science/paper/XUMWBAUP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2505.23238&json=true","fetch_graph":"https://pith.science/api/pith-number/XUMWBAUP56DJQD2IPIUYP56YUF/graph.json","fetch_events":"https://pith.science/api/pith-number/XUMWBAUP56DJQD2IPIUYP56YUF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XUMWBAUP56DJQD2IPIUYP56YUF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XUMWBAUP56DJQD2IPIUYP56YUF/action/storage_attestation","attest_author":"https://pith.science/pith/XUMWBAUP56DJQD2IPIUYP56YUF/action/author_attestation","sign_citation":"https://pith.science/pith/XUMWBAUP56DJQD2IPIUYP56YUF/action/citation_signature","submit_replication":"https://pith.science/pith/XUMWBAUP56DJQD2IPIUYP56YUF/action/replication_record"}},"created_at":"2026-07-05T11:50:37.258530+00:00","updated_at":"2026-07-05T11:50:37.258530+00:00"}