{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:SSETBDUEK6U6VE34NMER7MCEJG","short_pith_number":"pith:SSETBDUE","canonical_record":{"source":{"id":"2309.15540","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2023-09-27T10:00:54Z","cross_cats_sorted":["hep-ph","hep-th"],"title_canon_sha256":"2de1261fb42dfcb7169122241bcf9fa6845bbdc7f0210b7228aeec723281b946","abstract_canon_sha256":"dd72c729f1078d4f9468dc4d1a0fcdf4294a1ac378170132bc9eb5ffe1219735"},"schema_version":"1.0"},"canonical_sha256":"9489308e8457a9ea937c6b091fb04449b1b58b50bdeb0078c680c7e0e7e4a884","source":{"kind":"arxiv","id":"2309.15540","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2309.15540","created_at":"2026-07-05T07:19:48Z"},{"alias_kind":"arxiv_version","alias_value":"2309.15540v2","created_at":"2026-07-05T07:19:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.15540","created_at":"2026-07-05T07:19:48Z"},{"alias_kind":"pith_short_12","alias_value":"SSETBDUEK6U6","created_at":"2026-07-05T07:19:48Z"},{"alias_kind":"pith_short_16","alias_value":"SSETBDUEK6U6VE34","created_at":"2026-07-05T07:19:48Z"},{"alias_kind":"pith_short_8","alias_value":"SSETBDUE","created_at":"2026-07-05T07:19:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:SSETBDUEK6U6VE34NMER7MCEJG","target":"record","payload":{"canonical_record":{"source":{"id":"2309.15540","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2023-09-27T10:00:54Z","cross_cats_sorted":["hep-ph","hep-th"],"title_canon_sha256":"2de1261fb42dfcb7169122241bcf9fa6845bbdc7f0210b7228aeec723281b946","abstract_canon_sha256":"dd72c729f1078d4f9468dc4d1a0fcdf4294a1ac378170132bc9eb5ffe1219735"},"schema_version":"1.0"},"canonical_sha256":"9489308e8457a9ea937c6b091fb04449b1b58b50bdeb0078c680c7e0e7e4a884","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:19:48.960166Z","signature_b64":"Vfuc7787khgEOpAa9T+PazOaJnSFm12w8GpUfAUE+vVfJr/Nmlt2q/emyCczQ7Zkt/VmG2T1CPwjlIk0GFl9BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9489308e8457a9ea937c6b091fb04449b1b58b50bdeb0078c680c7e0e7e4a884","last_reissued_at":"2026-07-05T07:19:48.959654Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:19:48.959654Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2309.15540","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T07:19:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"biieWJ19Bp+OZadPYG28sa7lmfij1vy2SeiRSpOKsS3wWS77WyvHzslYSTiXn3BMBc6jWC/0lfYqp9MJv6iHBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-17T15:21:11.577713Z"},"content_sha256":"40d26f1ef655bf3df2244fc033d037b1cca5006ba635564f85604c89a39ee97f","schema_version":"1.0","event_id":"sha256:40d26f1ef655bf3df2244fc033d037b1cca5006ba635564f85604c89a39ee97f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:SSETBDUEK6U6VE34NMER7MCEJG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The large-$N$ limit of the chiral condensate from twisted reduced models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","hep-th"],"primary_cat":"hep-lat","authors_text":"Antonio Gonz\\'alez-Arroyo, Claudio Bonanno, Ken-Ichi Ishikawa, Margarita Garc\\'ia Per\\'ez, Masanori Okawa, Pietro Butti","submitted_at":"2023-09-27T10:00:54Z","abstract_excerpt":"We compute the large-$N$ limit of the QCD chiral condensate on the lattice using twisted reduced models, and performing controlled continuum and chiral extrapolations. We perform two different calculations: one consists in extracting the chiral condensate from the quark mass dependence of the pion mass, and the other consists in extracting the chiral condensate from the behaviour of the mode number of the Wilson-Dirac operator for small eigenvalues. We find consistency between the results of the two methods, giving a joint estimate of $\\lim_{N\\to\\infty}\\Sigma(N)/N=[184(13)$ MeV$]^3$ ($\\overlin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.15540","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/2309.15540/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":"2026-07-05T07:19:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zeL+pmyoXkA8EMuCrES1AFcKNrc3+zkcAfjec+IJBFmHcvDBj/iYqCCRk2Og7Jcrg6EhgZHFToCa5qvWkw5eBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-17T15:21:11.578094Z"},"content_sha256":"a6b76cc759a1f5a5e21c3d94ed325f7cd0d6f05f9f5066954159fef916b8255b","schema_version":"1.0","event_id":"sha256:a6b76cc759a1f5a5e21c3d94ed325f7cd0d6f05f9f5066954159fef916b8255b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SSETBDUEK6U6VE34NMER7MCEJG/bundle.json","state_url":"https://pith.science/pith/SSETBDUEK6U6VE34NMER7MCEJG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SSETBDUEK6U6VE34NMER7MCEJG/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":"2026-07-17T15:21:11Z","links":{"resolver":"https://pith.science/pith/SSETBDUEK6U6VE34NMER7MCEJG","bundle":"https://pith.science/pith/SSETBDUEK6U6VE34NMER7MCEJG/bundle.json","state":"https://pith.science/pith/SSETBDUEK6U6VE34NMER7MCEJG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SSETBDUEK6U6VE34NMER7MCEJG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:SSETBDUEK6U6VE34NMER7MCEJG","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":"dd72c729f1078d4f9468dc4d1a0fcdf4294a1ac378170132bc9eb5ffe1219735","cross_cats_sorted":["hep-ph","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2023-09-27T10:00:54Z","title_canon_sha256":"2de1261fb42dfcb7169122241bcf9fa6845bbdc7f0210b7228aeec723281b946"},"schema_version":"1.0","source":{"id":"2309.15540","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2309.15540","created_at":"2026-07-05T07:19:48Z"},{"alias_kind":"arxiv_version","alias_value":"2309.15540v2","created_at":"2026-07-05T07:19:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.15540","created_at":"2026-07-05T07:19:48Z"},{"alias_kind":"pith_short_12","alias_value":"SSETBDUEK6U6","created_at":"2026-07-05T07:19:48Z"},{"alias_kind":"pith_short_16","alias_value":"SSETBDUEK6U6VE34","created_at":"2026-07-05T07:19:48Z"},{"alias_kind":"pith_short_8","alias_value":"SSETBDUE","created_at":"2026-07-05T07:19:48Z"}],"graph_snapshots":[{"event_id":"sha256:a6b76cc759a1f5a5e21c3d94ed325f7cd0d6f05f9f5066954159fef916b8255b","target":"graph","created_at":"2026-07-05T07:19:48Z","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/2309.15540/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We compute the large-$N$ limit of the QCD chiral condensate on the lattice using twisted reduced models, and performing controlled continuum and chiral extrapolations. We perform two different calculations: one consists in extracting the chiral condensate from the quark mass dependence of the pion mass, and the other consists in extracting the chiral condensate from the behaviour of the mode number of the Wilson-Dirac operator for small eigenvalues. We find consistency between the results of the two methods, giving a joint estimate of $\\lim_{N\\to\\infty}\\Sigma(N)/N=[184(13)$ MeV$]^3$ ($\\overlin","authors_text":"Antonio Gonz\\'alez-Arroyo, Claudio Bonanno, Ken-Ichi Ishikawa, Margarita Garc\\'ia Per\\'ez, Masanori Okawa, Pietro Butti","cross_cats":["hep-ph","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2023-09-27T10:00:54Z","title":"The large-$N$ limit of the chiral condensate from twisted reduced models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.15540","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":"sha256:40d26f1ef655bf3df2244fc033d037b1cca5006ba635564f85604c89a39ee97f","target":"record","created_at":"2026-07-05T07:19:48Z","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":"dd72c729f1078d4f9468dc4d1a0fcdf4294a1ac378170132bc9eb5ffe1219735","cross_cats_sorted":["hep-ph","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2023-09-27T10:00:54Z","title_canon_sha256":"2de1261fb42dfcb7169122241bcf9fa6845bbdc7f0210b7228aeec723281b946"},"schema_version":"1.0","source":{"id":"2309.15540","kind":"arxiv","version":2}},"canonical_sha256":"9489308e8457a9ea937c6b091fb04449b1b58b50bdeb0078c680c7e0e7e4a884","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9489308e8457a9ea937c6b091fb04449b1b58b50bdeb0078c680c7e0e7e4a884","first_computed_at":"2026-07-05T07:19:48.959654Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:19:48.959654Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Vfuc7787khgEOpAa9T+PazOaJnSFm12w8GpUfAUE+vVfJr/Nmlt2q/emyCczQ7Zkt/VmG2T1CPwjlIk0GFl9BA==","signature_status":"signed_v1","signed_at":"2026-07-05T07:19:48.960166Z","signed_message":"canonical_sha256_bytes"},"source_id":"2309.15540","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:40d26f1ef655bf3df2244fc033d037b1cca5006ba635564f85604c89a39ee97f","sha256:a6b76cc759a1f5a5e21c3d94ed325f7cd0d6f05f9f5066954159fef916b8255b"],"state_sha256":"d98f080b752ee05b41c340c7a528d1e853d9ffb5a8b6c1ece675d788a65ecc4a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+7PNXiPBB1REpbQqxJWHijN8SUAmldlIGCsULOekIP1hMZzjUVnMmSRVSCnLnLnx+lc83yWGKWTNaBab0X43BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-17T15:21:11.580411Z","bundle_sha256":"13a70eba8f088793d5e5931782e81c8c4469aff5d43b8a9a22a03beb797d8936"}}