{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:MEEQBJ242675WTV6NFVLNXPP3M","short_pith_number":"pith:MEEQBJ24","schema_version":"1.0","canonical_sha256":"610900a75cd7bfdb4ebe696ab6ddefdb26a4fef1a3424d15cd9a477104ba07a2","source":{"kind":"arxiv","id":"2606.12510","version":1},"attestation_state":"computed","paper":{"title":"Infinite-Order Lattice Chiral Anomalies and CPT","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","hep-lat"],"primary_cat":"hep-th","authors_text":"Elijah Lew-Smith, Salvatore D. Pace, Shu-Heng Shao","submitted_at":"2026-06-10T18:00:00Z","abstract_excerpt":"A key property of a global symmetry's anomaly is its order: the smallest integer $n$ for which the diagonal symmetry of the $n$-copy system is anomaly-free. While many familiar lattice anomalies have finite order, perturbative anomalies in the continuum$-$those captured by Feynman diagrams$-$have infinite order. In this paper, we show that the Onsager symmetry, a lattice realization of the chiral symmetry of a 1+1d massless Dirac fermion, has an order-two anomaly. However, imposing lattice CPT symmetry enhances this anomaly from order two to infinite order, yielding a lattice chiral symmetry s"},"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":"2606.12510","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-06-10T18:00:00Z","cross_cats_sorted":["cond-mat.str-el","hep-lat"],"title_canon_sha256":"6788c812df9dbd0d5b6464a2ad1917161dc23ca0a39e469b25c6b6697e66dd68","abstract_canon_sha256":"9a44057e6b5f4d77596f1f9bc8d190966b2993eb562c4ec234154067f263a9fa"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-12T00:07:52.890312Z","signature_b64":"kjPo26rNAR+ifyLkk6na9Aezm465F7Ph2sZW2UAQuFG5sbIV1wDbBonbyzrK374QVeMsCm0u6ejEafNaRR7/Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"610900a75cd7bfdb4ebe696ab6ddefdb26a4fef1a3424d15cd9a477104ba07a2","last_reissued_at":"2026-06-12T00:07:52.889615Z","signature_status":"signed_v1","first_computed_at":"2026-06-12T00:07:52.889615Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Infinite-Order Lattice Chiral Anomalies and CPT","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","hep-lat"],"primary_cat":"hep-th","authors_text":"Elijah Lew-Smith, Salvatore D. Pace, Shu-Heng Shao","submitted_at":"2026-06-10T18:00:00Z","abstract_excerpt":"A key property of a global symmetry's anomaly is its order: the smallest integer $n$ for which the diagonal symmetry of the $n$-copy system is anomaly-free. While many familiar lattice anomalies have finite order, perturbative anomalies in the continuum$-$those captured by Feynman diagrams$-$have infinite order. In this paper, we show that the Onsager symmetry, a lattice realization of the chiral symmetry of a 1+1d massless Dirac fermion, has an order-two anomaly. However, imposing lattice CPT symmetry enhances this anomaly from order two to infinite order, yielding a lattice chiral symmetry s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.12510","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/2606.12510/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":"2606.12510","created_at":"2026-06-12T00:07:52.889705+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.12510v1","created_at":"2026-06-12T00:07:52.889705+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.12510","created_at":"2026-06-12T00:07:52.889705+00:00"},{"alias_kind":"pith_short_12","alias_value":"MEEQBJ242675","created_at":"2026-06-12T00:07:52.889705+00:00"},{"alias_kind":"pith_short_16","alias_value":"MEEQBJ242675WTV6","created_at":"2026-06-12T00:07:52.889705+00:00"},{"alias_kind":"pith_short_8","alias_value":"MEEQBJ24","created_at":"2026-06-12T00:07:52.889705+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/MEEQBJ242675WTV6NFVLNXPP3M","json":"https://pith.science/pith/MEEQBJ242675WTV6NFVLNXPP3M.json","graph_json":"https://pith.science/api/pith-number/MEEQBJ242675WTV6NFVLNXPP3M/graph.json","events_json":"https://pith.science/api/pith-number/MEEQBJ242675WTV6NFVLNXPP3M/events.json","paper":"https://pith.science/paper/MEEQBJ24"},"agent_actions":{"view_html":"https://pith.science/pith/MEEQBJ242675WTV6NFVLNXPP3M","download_json":"https://pith.science/pith/MEEQBJ242675WTV6NFVLNXPP3M.json","view_paper":"https://pith.science/paper/MEEQBJ24","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.12510&json=true","fetch_graph":"https://pith.science/api/pith-number/MEEQBJ242675WTV6NFVLNXPP3M/graph.json","fetch_events":"https://pith.science/api/pith-number/MEEQBJ242675WTV6NFVLNXPP3M/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MEEQBJ242675WTV6NFVLNXPP3M/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MEEQBJ242675WTV6NFVLNXPP3M/action/storage_attestation","attest_author":"https://pith.science/pith/MEEQBJ242675WTV6NFVLNXPP3M/action/author_attestation","sign_citation":"https://pith.science/pith/MEEQBJ242675WTV6NFVLNXPP3M/action/citation_signature","submit_replication":"https://pith.science/pith/MEEQBJ242675WTV6NFVLNXPP3M/action/replication_record"}},"created_at":"2026-06-12T00:07:52.889705+00:00","updated_at":"2026-06-12T00:07:52.889705+00:00"}