{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:4CK24UPL3S5HAFURDSW3U7ZWXE","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":"1a552f07a92d416c0a912d9b664c282ddfd867674a3b643e046b467674fba6c2","cross_cats_sorted":["hep-ph","hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2025-10-28T13:17:02Z","title_canon_sha256":"c001b34a3c19be28d91c45a9798a0ae688c496670bcea8b19f5f0db64b541f2f"},"schema_version":"1.0","source":{"id":"2510.24403","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2510.24403","created_at":"2026-06-26T01:15:46Z"},{"alias_kind":"arxiv_version","alias_value":"2510.24403v2","created_at":"2026-06-26T01:15:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2510.24403","created_at":"2026-06-26T01:15:46Z"},{"alias_kind":"pith_short_12","alias_value":"4CK24UPL3S5H","created_at":"2026-06-26T01:15:46Z"},{"alias_kind":"pith_short_16","alias_value":"4CK24UPL3S5HAFUR","created_at":"2026-06-26T01:15:46Z"},{"alias_kind":"pith_short_8","alias_value":"4CK24UPL","created_at":"2026-06-26T01:15:46Z"}],"graph_snapshots":[{"event_id":"sha256:e36098c8ada593b6b084d79cbbd6c6c4fc71b637149a41ec5a7d20f3cc48cfd2","target":"graph","created_at":"2026-06-26T01:15:46Z","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/2510.24403/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Aoki, Fukaya, and Taniguchi claim that both the spectral density of the Dirac operator at the origin and the topological susceptibility must vanish identically for sufficiently small but nonzero quark mass $m$ in the chirally symmetric phase of quantum chromodynamics with two light quark flavors, under certain technical assumptions on the spectrum and on the dependence of observables on $m$. I argue that a crucial step of their proof is not justified, and the validity of these conclusions should be reassessed.","authors_text":"Matteo Giordano","cross_cats":["hep-ph","hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2025-10-28T13:17:02Z","title":"Comment on \"Chiral symmetry restoration, the eigenvalue density of the Dirac operator, and the axial U(1) anomaly at finite temperature\""},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2510.24403","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:bbb56a3168517fea7b2d61ea0a51600f067cdb1d4422965291af3dabc286d079","target":"record","created_at":"2026-06-26T01:15:46Z","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":"1a552f07a92d416c0a912d9b664c282ddfd867674a3b643e046b467674fba6c2","cross_cats_sorted":["hep-ph","hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2025-10-28T13:17:02Z","title_canon_sha256":"c001b34a3c19be28d91c45a9798a0ae688c496670bcea8b19f5f0db64b541f2f"},"schema_version":"1.0","source":{"id":"2510.24403","kind":"arxiv","version":2}},"canonical_sha256":"e095ae51ebdcba7016911cadba7f36b900c8c5097145e6f84aaf5f6ee6677b8e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e095ae51ebdcba7016911cadba7f36b900c8c5097145e6f84aaf5f6ee6677b8e","first_computed_at":"2026-06-26T01:15:46.780728Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-26T01:15:46.780728Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cBt5fDpzOZKNv7D5RlOL4D7ROIYBxcea4gylZUCa+aoaxdcwi/Q+47W+lDRwhZ+L8fwTS3840H9/vOGeCwXsDg==","signature_status":"signed_v1","signed_at":"2026-06-26T01:15:46.781217Z","signed_message":"canonical_sha256_bytes"},"source_id":"2510.24403","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bbb56a3168517fea7b2d61ea0a51600f067cdb1d4422965291af3dabc286d079","sha256:e36098c8ada593b6b084d79cbbd6c6c4fc71b637149a41ec5a7d20f3cc48cfd2"],"state_sha256":"345afc3317b9d368d157da91cde91c9f6348ebb78e02bade74deb1c96d50aefd"}