{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:74655BXQXOCA3R2TJ3R7AKPQJ7","short_pith_number":"pith:74655BXQ","canonical_record":{"source":{"id":"2106.06402","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-06-11T13:56:20Z","cross_cats_sorted":["hep-lat","hep-ph"],"title_canon_sha256":"370052af686e2f35b0d46322e2300184882f65dbb9f8781c25c2520689d8cc93","abstract_canon_sha256":"ef0b2e07cf13f700e710f62d69c6daaa39718bbdea446f760faae74cdc2eabc8"},"schema_version":"1.0"},"canonical_sha256":"ff3dde86f0bb840dc7534ee3f029f04fef8c463f0c8cf9d39fd9c91c20fefd25","source":{"kind":"arxiv","id":"2106.06402","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2106.06402","created_at":"2026-07-05T03:46:58Z"},{"alias_kind":"arxiv_version","alias_value":"2106.06402v2","created_at":"2026-07-05T03:46:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2106.06402","created_at":"2026-07-05T03:46:58Z"},{"alias_kind":"pith_short_12","alias_value":"74655BXQXOCA","created_at":"2026-07-05T03:46:58Z"},{"alias_kind":"pith_short_16","alias_value":"74655BXQXOCA3R2T","created_at":"2026-07-05T03:46:58Z"},{"alias_kind":"pith_short_8","alias_value":"74655BXQ","created_at":"2026-07-05T03:46:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:74655BXQXOCA3R2TJ3R7AKPQJ7","target":"record","payload":{"canonical_record":{"source":{"id":"2106.06402","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-06-11T13:56:20Z","cross_cats_sorted":["hep-lat","hep-ph"],"title_canon_sha256":"370052af686e2f35b0d46322e2300184882f65dbb9f8781c25c2520689d8cc93","abstract_canon_sha256":"ef0b2e07cf13f700e710f62d69c6daaa39718bbdea446f760faae74cdc2eabc8"},"schema_version":"1.0"},"canonical_sha256":"ff3dde86f0bb840dc7534ee3f029f04fef8c463f0c8cf9d39fd9c91c20fefd25","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:46:58.901403Z","signature_b64":"RGYIccH9yZGOExjmxPW5NLE9huArFrwSc3MUjbDYQoB0SGKfO/oRVnMYnfHtaeHSPz133h54tjqTZQnMGkPyDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ff3dde86f0bb840dc7534ee3f029f04fef8c463f0c8cf9d39fd9c91c20fefd25","last_reissued_at":"2026-07-05T03:46:58.900937Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:46:58.900937Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2106.06402","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":"2026-07-05T03:46:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"48Aq+FXWkXJy93faP4CTo1LPjBf3NxL6VzldD/1awN4m8WoiUKjniennVH+H4UdQC3SZ5xwfM9xaT/CnT+n5Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T18:53:35.738313Z"},"content_sha256":"0b5730a809a5d328499f80da0867fc7d9a6705a20bc50b1f0da79e0b71082c41","schema_version":"1.0","event_id":"sha256:0b5730a809a5d328499f80da0867fc7d9a6705a20bc50b1f0da79e0b71082c41"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:74655BXQXOCA3R2TJ3R7AKPQJ7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Discrete Anomalies in Chiral Gauge Theories","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-lat","hep-ph"],"primary_cat":"hep-th","authors_text":"Avner Karasik, David Tong, Nakarin Lohitsiri, Philip Boyle Smith","submitted_at":"2021-06-11T13:56:20Z","abstract_excerpt":"We study two well-known $SU(N)$ chiral gauge theories with fermions in the symmetric, anti-symmetric and fundamental representations. We give a detailed description of the global symmetry, including various discrete quotients. Recent work argues that these theories exhibit a subtle mod 2 anomaly, ruling out certain phases in which the theories confine without breaking their global symmetry, leaving a gapless composite fermion in the infra-red. We point out that no such anomaly exists. We further exhibit an explicit path to the gapless fermion phase, showing that there is no kinematic obstructi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2106.06402","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/2106.06402/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":"2026-07-05T03:46:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HbFWO3DZnFDaGfMUDJYi3O173asAompKt9kfPUyVbCaeAS2uSR/XJSCPmNTqsiV4tv8vTPQ9JU2vuOQdvXr6CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T18:53:35.739272Z"},"content_sha256":"f96347547cb9472336f7615aa0a64ca751ec6f8d376977f0ca6d10eed34a8f9e","schema_version":"1.0","event_id":"sha256:f96347547cb9472336f7615aa0a64ca751ec6f8d376977f0ca6d10eed34a8f9e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/74655BXQXOCA3R2TJ3R7AKPQJ7/bundle.json","state_url":"https://pith.science/pith/74655BXQXOCA3R2TJ3R7AKPQJ7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/74655BXQXOCA3R2TJ3R7AKPQJ7/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":"2026-08-03T18:53:35Z","links":{"resolver":"https://pith.science/pith/74655BXQXOCA3R2TJ3R7AKPQJ7","bundle":"https://pith.science/pith/74655BXQXOCA3R2TJ3R7AKPQJ7/bundle.json","state":"https://pith.science/pith/74655BXQXOCA3R2TJ3R7AKPQJ7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/74655BXQXOCA3R2TJ3R7AKPQJ7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:74655BXQXOCA3R2TJ3R7AKPQJ7","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":"ef0b2e07cf13f700e710f62d69c6daaa39718bbdea446f760faae74cdc2eabc8","cross_cats_sorted":["hep-lat","hep-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-06-11T13:56:20Z","title_canon_sha256":"370052af686e2f35b0d46322e2300184882f65dbb9f8781c25c2520689d8cc93"},"schema_version":"1.0","source":{"id":"2106.06402","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2106.06402","created_at":"2026-07-05T03:46:58Z"},{"alias_kind":"arxiv_version","alias_value":"2106.06402v2","created_at":"2026-07-05T03:46:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2106.06402","created_at":"2026-07-05T03:46:58Z"},{"alias_kind":"pith_short_12","alias_value":"74655BXQXOCA","created_at":"2026-07-05T03:46:58Z"},{"alias_kind":"pith_short_16","alias_value":"74655BXQXOCA3R2T","created_at":"2026-07-05T03:46:58Z"},{"alias_kind":"pith_short_8","alias_value":"74655BXQ","created_at":"2026-07-05T03:46:58Z"}],"graph_snapshots":[{"event_id":"sha256:f96347547cb9472336f7615aa0a64ca751ec6f8d376977f0ca6d10eed34a8f9e","target":"graph","created_at":"2026-07-05T03:46:58Z","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/2106.06402/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study two well-known $SU(N)$ chiral gauge theories with fermions in the symmetric, anti-symmetric and fundamental representations. We give a detailed description of the global symmetry, including various discrete quotients. Recent work argues that these theories exhibit a subtle mod 2 anomaly, ruling out certain phases in which the theories confine without breaking their global symmetry, leaving a gapless composite fermion in the infra-red. We point out that no such anomaly exists. We further exhibit an explicit path to the gapless fermion phase, showing that there is no kinematic obstructi","authors_text":"Avner Karasik, David Tong, Nakarin Lohitsiri, Philip Boyle Smith","cross_cats":["hep-lat","hep-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-06-11T13:56:20Z","title":"On Discrete Anomalies in Chiral Gauge Theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2106.06402","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":"sha256:0b5730a809a5d328499f80da0867fc7d9a6705a20bc50b1f0da79e0b71082c41","target":"record","created_at":"2026-07-05T03:46:58Z","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":"ef0b2e07cf13f700e710f62d69c6daaa39718bbdea446f760faae74cdc2eabc8","cross_cats_sorted":["hep-lat","hep-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-06-11T13:56:20Z","title_canon_sha256":"370052af686e2f35b0d46322e2300184882f65dbb9f8781c25c2520689d8cc93"},"schema_version":"1.0","source":{"id":"2106.06402","kind":"arxiv","version":2}},"canonical_sha256":"ff3dde86f0bb840dc7534ee3f029f04fef8c463f0c8cf9d39fd9c91c20fefd25","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ff3dde86f0bb840dc7534ee3f029f04fef8c463f0c8cf9d39fd9c91c20fefd25","first_computed_at":"2026-07-05T03:46:58.900937Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:46:58.900937Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RGYIccH9yZGOExjmxPW5NLE9huArFrwSc3MUjbDYQoB0SGKfO/oRVnMYnfHtaeHSPz133h54tjqTZQnMGkPyDw==","signature_status":"signed_v1","signed_at":"2026-07-05T03:46:58.901403Z","signed_message":"canonical_sha256_bytes"},"source_id":"2106.06402","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0b5730a809a5d328499f80da0867fc7d9a6705a20bc50b1f0da79e0b71082c41","sha256:f96347547cb9472336f7615aa0a64ca751ec6f8d376977f0ca6d10eed34a8f9e"],"state_sha256":"a5267d6f4623a853cf39c3acb1916d8b2967f2a254d1f1c3ee4a49d4b4214dc5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7IqZ6HRm5/3fgpztdAIybjs7nhEFbrlf4cl3176Qc1LHZWEySCv2lBltFyTsD17f9yK1rLBxQ12Zf0mXL3H6DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T18:53:35.746907Z","bundle_sha256":"4142acd99fc3a4b293fb20a501bb4ab4543d9c4c3492d7a848307127baa59612"}}