{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:7BH5LFHCYRD37AD2OZU3B5SXJZ","short_pith_number":"pith:7BH5LFHC","canonical_record":{"source":{"id":"2406.00100","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-05-31T18:00:02Z","cross_cats_sorted":["cond-mat.str-el","hep-lat","hep-ph"],"title_canon_sha256":"363f571c675c7214b0281eee033ddfc8d864531f7050ace4ebfcb3739a715a04","abstract_canon_sha256":"69dcecbffac42e5a54e8a914471c6d84eb1efb928339abee8cbecb01d5549539"},"schema_version":"1.0"},"canonical_sha256":"f84fd594e2c447bf807a7669b0f6574e7a0d17aa65075554f713fee751c11e17","source":{"kind":"arxiv","id":"2406.00100","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.00100","created_at":"2026-07-05T09:09:05Z"},{"alias_kind":"arxiv_version","alias_value":"2406.00100v2","created_at":"2026-07-05T09:09:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.00100","created_at":"2026-07-05T09:09:05Z"},{"alias_kind":"pith_short_12","alias_value":"7BH5LFHCYRD3","created_at":"2026-07-05T09:09:05Z"},{"alias_kind":"pith_short_16","alias_value":"7BH5LFHCYRD37AD2","created_at":"2026-07-05T09:09:05Z"},{"alias_kind":"pith_short_8","alias_value":"7BH5LFHC","created_at":"2026-07-05T09:09:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:7BH5LFHCYRD37AD2OZU3B5SXJZ","target":"record","payload":{"canonical_record":{"source":{"id":"2406.00100","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-05-31T18:00:02Z","cross_cats_sorted":["cond-mat.str-el","hep-lat","hep-ph"],"title_canon_sha256":"363f571c675c7214b0281eee033ddfc8d864531f7050ace4ebfcb3739a715a04","abstract_canon_sha256":"69dcecbffac42e5a54e8a914471c6d84eb1efb928339abee8cbecb01d5549539"},"schema_version":"1.0"},"canonical_sha256":"f84fd594e2c447bf807a7669b0f6574e7a0d17aa65075554f713fee751c11e17","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:09:05.068463Z","signature_b64":"M+sIYNMXu8M79pxguiVZPSOkXbdNUYJew9OjuPkEBR/CNr/Tjrx8ony3CqJshkjBPOjctySRMiC99WOxMECyDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f84fd594e2c447bf807a7669b0f6574e7a0d17aa65075554f713fee751c11e17","last_reissued_at":"2026-07-05T09:09:05.068008Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:09:05.068008Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2406.00100","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":"2026-07-05T09:09:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1Yp24KMjxL9qMdh7482e8DShaGUJmzUeEwQ2jJ47lXXB78DxCZn7N7fhs8RBjpiWsBvpfhAEtr5tyeRe568rAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T16:11:49.358533Z"},"content_sha256":"d9482657c2ee332e085ec45d30eebf7ac9438de470906917c671ba70ba574ed5","schema_version":"1.0","event_id":"sha256:d9482657c2ee332e085ec45d30eebf7ac9438de470906917c671ba70ba574ed5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:7BH5LFHCYRD37AD2OZU3B5SXJZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fermion Mass Generation without Symmetry Breaking","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","hep-lat","hep-ph"],"primary_cat":"hep-th","authors_text":"Charlie Cresswell-Hogg, Daniel F. Litim","submitted_at":"2024-05-31T18:00:02Z","abstract_excerpt":"We study the generation of fermion mass in a context where interactions break a discrete chiral symmetry. Then, fermion mass is not protected by a symmetry, no symmetry is broken by the generation of mass, and a vanishing mass no longer enhances a symmetry. We elaborate these scenarios for template fermionic and Yukawa theories in three dimensions where mass can be generated either by fluctuations, strong dynamics, or the vacuum expectation value of a scalar field. We find that fluctuation-induced contributions to fermion mass are parametrically suppressed in the number of fermion flavours $N$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.00100","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/2406.00100/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":"2026-07-05T09:09:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pLIRf7vHUf5ObCWDAUc7Wpsjb2Rg5yyi7ftqXJLk39mT6xcjgjgCvn23GMYq3UXGdXYY3bXppk5p3Yax2gMdCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T16:11:49.359039Z"},"content_sha256":"ffe9ba1b81b41572ef05f1d965ad49e6572c55a1b88fd594a1b3f35dc5d30584","schema_version":"1.0","event_id":"sha256:ffe9ba1b81b41572ef05f1d965ad49e6572c55a1b88fd594a1b3f35dc5d30584"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7BH5LFHCYRD37AD2OZU3B5SXJZ/bundle.json","state_url":"https://pith.science/pith/7BH5LFHCYRD37AD2OZU3B5SXJZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7BH5LFHCYRD37AD2OZU3B5SXJZ/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":"2026-08-23T16:11:49Z","links":{"resolver":"https://pith.science/pith/7BH5LFHCYRD37AD2OZU3B5SXJZ","bundle":"https://pith.science/pith/7BH5LFHCYRD37AD2OZU3B5SXJZ/bundle.json","state":"https://pith.science/pith/7BH5LFHCYRD37AD2OZU3B5SXJZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7BH5LFHCYRD37AD2OZU3B5SXJZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:7BH5LFHCYRD37AD2OZU3B5SXJZ","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":"69dcecbffac42e5a54e8a914471c6d84eb1efb928339abee8cbecb01d5549539","cross_cats_sorted":["cond-mat.str-el","hep-lat","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-05-31T18:00:02Z","title_canon_sha256":"363f571c675c7214b0281eee033ddfc8d864531f7050ace4ebfcb3739a715a04"},"schema_version":"1.0","source":{"id":"2406.00100","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.00100","created_at":"2026-07-05T09:09:05Z"},{"alias_kind":"arxiv_version","alias_value":"2406.00100v2","created_at":"2026-07-05T09:09:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.00100","created_at":"2026-07-05T09:09:05Z"},{"alias_kind":"pith_short_12","alias_value":"7BH5LFHCYRD3","created_at":"2026-07-05T09:09:05Z"},{"alias_kind":"pith_short_16","alias_value":"7BH5LFHCYRD37AD2","created_at":"2026-07-05T09:09:05Z"},{"alias_kind":"pith_short_8","alias_value":"7BH5LFHC","created_at":"2026-07-05T09:09:05Z"}],"graph_snapshots":[{"event_id":"sha256:ffe9ba1b81b41572ef05f1d965ad49e6572c55a1b88fd594a1b3f35dc5d30584","target":"graph","created_at":"2026-07-05T09:09:05Z","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/2406.00100/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the generation of fermion mass in a context where interactions break a discrete chiral symmetry. Then, fermion mass is not protected by a symmetry, no symmetry is broken by the generation of mass, and a vanishing mass no longer enhances a symmetry. We elaborate these scenarios for template fermionic and Yukawa theories in three dimensions where mass can be generated either by fluctuations, strong dynamics, or the vacuum expectation value of a scalar field. We find that fluctuation-induced contributions to fermion mass are parametrically suppressed in the number of fermion flavours $N$","authors_text":"Charlie Cresswell-Hogg, Daniel F. Litim","cross_cats":["cond-mat.str-el","hep-lat","hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-05-31T18:00:02Z","title":"Fermion Mass Generation without Symmetry Breaking"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.00100","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:d9482657c2ee332e085ec45d30eebf7ac9438de470906917c671ba70ba574ed5","target":"record","created_at":"2026-07-05T09:09:05Z","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":"69dcecbffac42e5a54e8a914471c6d84eb1efb928339abee8cbecb01d5549539","cross_cats_sorted":["cond-mat.str-el","hep-lat","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-05-31T18:00:02Z","title_canon_sha256":"363f571c675c7214b0281eee033ddfc8d864531f7050ace4ebfcb3739a715a04"},"schema_version":"1.0","source":{"id":"2406.00100","kind":"arxiv","version":2}},"canonical_sha256":"f84fd594e2c447bf807a7669b0f6574e7a0d17aa65075554f713fee751c11e17","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f84fd594e2c447bf807a7669b0f6574e7a0d17aa65075554f713fee751c11e17","first_computed_at":"2026-07-05T09:09:05.068008Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:09:05.068008Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"M+sIYNMXu8M79pxguiVZPSOkXbdNUYJew9OjuPkEBR/CNr/Tjrx8ony3CqJshkjBPOjctySRMiC99WOxMECyDg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:09:05.068463Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.00100","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d9482657c2ee332e085ec45d30eebf7ac9438de470906917c671ba70ba574ed5","sha256:ffe9ba1b81b41572ef05f1d965ad49e6572c55a1b88fd594a1b3f35dc5d30584"],"state_sha256":"857e5a5200668b325f83d213f2b924a2c658895cd006052d4193062d3c7ce827"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uut6R94c0hwUgI+GK5nvlOKrfe6KiE6v2liY5vyFj6Oe4WXr6Loy9Ve2+nBzirB9W/tYJGVbZK4OOGyKQwGmDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-23T16:11:49.364610Z","bundle_sha256":"68cc46edf98abd7158a00ad6ed05ad5b93fef42f11caed21df16512b78740456"}}