{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:CYJZ2MO2NUI4NBBSFN772CB2PH","short_pith_number":"pith:CYJZ2MO2","schema_version":"1.0","canonical_sha256":"16139d31da6d11c684322b7ffd083a79eda95868731337955acc3cdeb04cde83","source":{"kind":"arxiv","id":"2607.17816","version":1},"attestation_state":"computed","paper":{"title":"Renormalization of meson susceptibilities and RG-invariant symmetry ratios in QCD","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","hep-th"],"primary_cat":"hep-lat","authors_text":"Ting-Wai Chiu","submitted_at":"2026-07-20T11:02:06Z","abstract_excerpt":"We analyze the ultraviolet divergence structure of meson susceptibilities in finite-temperature QCD, for lattice formulations with exact chiral symmetry. The bare susceptibility separates into additive divergences and a multiplicative renormalization $Z_\\Gamma^{2}$. The additive divergences are temperature-independent, and are removed by the temperature subtraction. They consist of the leading power divergence $\\alpha_\\Gamma/(2a^2)$ from the identity operator, together with a mass-dependent logarithmic term $\\propto m^2\\ln(1/(am))$. The latter is present already for chirally symmetric fermions"},"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":"2607.17816","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2026-07-20T11:02:06Z","cross_cats_sorted":["hep-ph","hep-th"],"title_canon_sha256":"a12b3faf945891231ccdba2e4baa9f2718a475ce31c690695c746388edec6f4c","abstract_canon_sha256":"d58a8b1836066982de93d8726232f3343e9616f4fd512abb9dff41442bfc5161"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-21T02:22:01.756632Z","signature_b64":"voKgjQy+QzAWaFFtZg+c4nm7SGpqV3ACzS+3LFhf4RgVVf/8289vANJkH5RJltjMWL0k12wa4ObIXDcu/2KlAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"16139d31da6d11c684322b7ffd083a79eda95868731337955acc3cdeb04cde83","last_reissued_at":"2026-07-21T02:22:01.755778Z","signature_status":"signed_v1","first_computed_at":"2026-07-21T02:22:01.755778Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Renormalization of meson susceptibilities and RG-invariant symmetry ratios in QCD","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","hep-th"],"primary_cat":"hep-lat","authors_text":"Ting-Wai Chiu","submitted_at":"2026-07-20T11:02:06Z","abstract_excerpt":"We analyze the ultraviolet divergence structure of meson susceptibilities in finite-temperature QCD, for lattice formulations with exact chiral symmetry. The bare susceptibility separates into additive divergences and a multiplicative renormalization $Z_\\Gamma^{2}$. The additive divergences are temperature-independent, and are removed by the temperature subtraction. They consist of the leading power divergence $\\alpha_\\Gamma/(2a^2)$ from the identity operator, together with a mass-dependent logarithmic term $\\propto m^2\\ln(1/(am))$. The latter is present already for chirally symmetric fermions"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.17816","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/2607.17816/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":"2607.17816","created_at":"2026-07-21T02:22:01.756221+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.17816v1","created_at":"2026-07-21T02:22:01.756221+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.17816","created_at":"2026-07-21T02:22:01.756221+00:00"},{"alias_kind":"pith_short_12","alias_value":"CYJZ2MO2NUI4","created_at":"2026-07-21T02:22:01.756221+00:00"},{"alias_kind":"pith_short_16","alias_value":"CYJZ2MO2NUI4NBBS","created_at":"2026-07-21T02:22:01.756221+00:00"},{"alias_kind":"pith_short_8","alias_value":"CYJZ2MO2","created_at":"2026-07-21T02:22:01.756221+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/CYJZ2MO2NUI4NBBSFN772CB2PH","json":"https://pith.science/pith/CYJZ2MO2NUI4NBBSFN772CB2PH.json","graph_json":"https://pith.science/api/pith-number/CYJZ2MO2NUI4NBBSFN772CB2PH/graph.json","events_json":"https://pith.science/api/pith-number/CYJZ2MO2NUI4NBBSFN772CB2PH/events.json","paper":"https://pith.science/paper/CYJZ2MO2"},"agent_actions":{"view_html":"https://pith.science/pith/CYJZ2MO2NUI4NBBSFN772CB2PH","download_json":"https://pith.science/pith/CYJZ2MO2NUI4NBBSFN772CB2PH.json","view_paper":"https://pith.science/paper/CYJZ2MO2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.17816&json=true","fetch_graph":"https://pith.science/api/pith-number/CYJZ2MO2NUI4NBBSFN772CB2PH/graph.json","fetch_events":"https://pith.science/api/pith-number/CYJZ2MO2NUI4NBBSFN772CB2PH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CYJZ2MO2NUI4NBBSFN772CB2PH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CYJZ2MO2NUI4NBBSFN772CB2PH/action/storage_attestation","attest_author":"https://pith.science/pith/CYJZ2MO2NUI4NBBSFN772CB2PH/action/author_attestation","sign_citation":"https://pith.science/pith/CYJZ2MO2NUI4NBBSFN772CB2PH/action/citation_signature","submit_replication":"https://pith.science/pith/CYJZ2MO2NUI4NBBSFN772CB2PH/action/replication_record"}},"created_at":"2026-07-21T02:22:01.756221+00:00","updated_at":"2026-07-21T02:22:01.756221+00:00"}