{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:EISQXPC5H3PMQN4423FSUMRRRM","short_pith_number":"pith:EISQXPC5","canonical_record":{"source":{"id":"2206.04182","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-06-08T22:23:41Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"d186040a19e1e02c2f8770a16a356e0eb08b9b77369c3e52657fca97fa942123","abstract_canon_sha256":"169060495d1129782f042c61d07d93977e94b3497219c4c6290ae29aa7891dab"},"schema_version":"1.0"},"canonical_sha256":"22250bbc5d3edec8379cd6cb2a32318b16623d15b72364cb5bddee56c40ae39f","source":{"kind":"arxiv","id":"2206.04182","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2206.04182","created_at":"2026-07-05T05:52:20Z"},{"alias_kind":"arxiv_version","alias_value":"2206.04182v2","created_at":"2026-07-05T05:52:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2206.04182","created_at":"2026-07-05T05:52:20Z"},{"alias_kind":"pith_short_12","alias_value":"EISQXPC5H3PM","created_at":"2026-07-05T05:52:20Z"},{"alias_kind":"pith_short_16","alias_value":"EISQXPC5H3PMQN44","created_at":"2026-07-05T05:52:20Z"},{"alias_kind":"pith_short_8","alias_value":"EISQXPC5","created_at":"2026-07-05T05:52:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:EISQXPC5H3PMQN4423FSUMRRRM","target":"record","payload":{"canonical_record":{"source":{"id":"2206.04182","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-06-08T22:23:41Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"d186040a19e1e02c2f8770a16a356e0eb08b9b77369c3e52657fca97fa942123","abstract_canon_sha256":"169060495d1129782f042c61d07d93977e94b3497219c4c6290ae29aa7891dab"},"schema_version":"1.0"},"canonical_sha256":"22250bbc5d3edec8379cd6cb2a32318b16623d15b72364cb5bddee56c40ae39f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:52:20.593567Z","signature_b64":"6quLHzdgpDUhTn1ki6P3Ed3Rbq1rAMGoZcF1PzaPMu6e/YizBh21NDby9XHVmlV1DWzJSczveNubj3QmPKixBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"22250bbc5d3edec8379cd6cb2a32318b16623d15b72364cb5bddee56c40ae39f","last_reissued_at":"2026-07-05T05:52:20.593098Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:52:20.593098Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2206.04182","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":"2026-07-05T05:52:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q42zBkMejzPvTpYoSy/USlx4i9ksBYcSa05gLQ7iI+1RT4PFfyI2izZfWEM7VEUki4hIiRxXLYSEWjjG8SswAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T20:59:13.540301Z"},"content_sha256":"59834b80c037e4b068007d531efc3cedd2ec8aaa506a3dc5656428acce69f2f3","schema_version":"1.0","event_id":"sha256:59834b80c037e4b068007d531efc3cedd2ec8aaa506a3dc5656428acce69f2f3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:EISQXPC5H3PMQN4423FSUMRRRM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The shift-invariant orders of an ALP","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Christophe Grojean, Jonathan Kley, Quentin Bonnefoy","submitted_at":"2022-06-08T22:23:41Z","abstract_excerpt":"It is generally believed that global symmetries, in particular axion shift symmetries, can only be approximate. This motivates us to quantify the breaking of the shift invariance that characterizes the couplings of an axion-like particle (ALP), and to identify proper order parameters associated to this breaking. Focusing on the flavorful effective Yukawa couplings to Standard Model fermions, we work out explicit conditions for them to maintain an exact axion shift symmetry. Those conditions are given in terms of Jarlskog-like flavor-invariants and can be directly evaluated from the values of t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2206.04182","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/2206.04182/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":"2026-07-05T05:52:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jnk42riW9q0j4ZJ+uns8HGdG1RaUaqk6UKY7sdIFMS7EE55B67mM+X1Jh0PKqt9v0u9dwu0ZvFF3IiMQdzjaAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T20:59:13.540788Z"},"content_sha256":"0e4964be7d6d3badffe26322f4d58a076cc879069c3ee6afdc1061f175ce0dd7","schema_version":"1.0","event_id":"sha256:0e4964be7d6d3badffe26322f4d58a076cc879069c3ee6afdc1061f175ce0dd7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EISQXPC5H3PMQN4423FSUMRRRM/bundle.json","state_url":"https://pith.science/pith/EISQXPC5H3PMQN4423FSUMRRRM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EISQXPC5H3PMQN4423FSUMRRRM/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":"2026-08-01T20:59:13Z","links":{"resolver":"https://pith.science/pith/EISQXPC5H3PMQN4423FSUMRRRM","bundle":"https://pith.science/pith/EISQXPC5H3PMQN4423FSUMRRRM/bundle.json","state":"https://pith.science/pith/EISQXPC5H3PMQN4423FSUMRRRM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EISQXPC5H3PMQN4423FSUMRRRM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:EISQXPC5H3PMQN4423FSUMRRRM","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":"169060495d1129782f042c61d07d93977e94b3497219c4c6290ae29aa7891dab","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-06-08T22:23:41Z","title_canon_sha256":"d186040a19e1e02c2f8770a16a356e0eb08b9b77369c3e52657fca97fa942123"},"schema_version":"1.0","source":{"id":"2206.04182","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2206.04182","created_at":"2026-07-05T05:52:20Z"},{"alias_kind":"arxiv_version","alias_value":"2206.04182v2","created_at":"2026-07-05T05:52:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2206.04182","created_at":"2026-07-05T05:52:20Z"},{"alias_kind":"pith_short_12","alias_value":"EISQXPC5H3PM","created_at":"2026-07-05T05:52:20Z"},{"alias_kind":"pith_short_16","alias_value":"EISQXPC5H3PMQN44","created_at":"2026-07-05T05:52:20Z"},{"alias_kind":"pith_short_8","alias_value":"EISQXPC5","created_at":"2026-07-05T05:52:20Z"}],"graph_snapshots":[{"event_id":"sha256:0e4964be7d6d3badffe26322f4d58a076cc879069c3ee6afdc1061f175ce0dd7","target":"graph","created_at":"2026-07-05T05:52:20Z","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/2206.04182/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"It is generally believed that global symmetries, in particular axion shift symmetries, can only be approximate. This motivates us to quantify the breaking of the shift invariance that characterizes the couplings of an axion-like particle (ALP), and to identify proper order parameters associated to this breaking. Focusing on the flavorful effective Yukawa couplings to Standard Model fermions, we work out explicit conditions for them to maintain an exact axion shift symmetry. Those conditions are given in terms of Jarlskog-like flavor-invariants and can be directly evaluated from the values of t","authors_text":"Christophe Grojean, Jonathan Kley, Quentin Bonnefoy","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-06-08T22:23:41Z","title":"The shift-invariant orders of an ALP"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2206.04182","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":"sha256:59834b80c037e4b068007d531efc3cedd2ec8aaa506a3dc5656428acce69f2f3","target":"record","created_at":"2026-07-05T05:52:20Z","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":"169060495d1129782f042c61d07d93977e94b3497219c4c6290ae29aa7891dab","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-06-08T22:23:41Z","title_canon_sha256":"d186040a19e1e02c2f8770a16a356e0eb08b9b77369c3e52657fca97fa942123"},"schema_version":"1.0","source":{"id":"2206.04182","kind":"arxiv","version":2}},"canonical_sha256":"22250bbc5d3edec8379cd6cb2a32318b16623d15b72364cb5bddee56c40ae39f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"22250bbc5d3edec8379cd6cb2a32318b16623d15b72364cb5bddee56c40ae39f","first_computed_at":"2026-07-05T05:52:20.593098Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:52:20.593098Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6quLHzdgpDUhTn1ki6P3Ed3Rbq1rAMGoZcF1PzaPMu6e/YizBh21NDby9XHVmlV1DWzJSczveNubj3QmPKixBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T05:52:20.593567Z","signed_message":"canonical_sha256_bytes"},"source_id":"2206.04182","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:59834b80c037e4b068007d531efc3cedd2ec8aaa506a3dc5656428acce69f2f3","sha256:0e4964be7d6d3badffe26322f4d58a076cc879069c3ee6afdc1061f175ce0dd7"],"state_sha256":"f10ad3f7329560d929901c2fc224345e2910aa84c42219d5ecefd8b76588b3d7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H1qn+cyPG0ChTj/nQnXEwn4dNaO36SB2tKbFK3+OByezB2YDNBH8xR68FwR0mIOO6K3qirugs1HGEv39vr2OBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-01T20:59:13.544139Z","bundle_sha256":"21b38f8cc67f42cf7686e888bbaf42a8ade89fcf4babffa25874ca86e5cac56d"}}