{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:X2BY3BGNY223R4JXHK7LPKZW6I","short_pith_number":"pith:X2BY3BGN","canonical_record":{"source":{"id":"0812.3364","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-12-17T18:34:20Z","cross_cats_sorted":[],"title_canon_sha256":"224bb4aaceda1a17db9445dc0ee795df3dfc36f785c24a3da0b1269fdefac83e","abstract_canon_sha256":"a759eec0b58b3eb13e611b7c02c085010c1d6163fb827c47ea64150384629ab2"},"schema_version":"1.0"},"canonical_sha256":"be838d84cdc6b5b8f1373abeb7ab36f23d6e88cfd64020efcaa9987c113ae941","source":{"kind":"arxiv","id":"0812.3364","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0812.3364","created_at":"2026-05-18T02:35:08Z"},{"alias_kind":"arxiv_version","alias_value":"0812.3364v1","created_at":"2026-05-18T02:35:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0812.3364","created_at":"2026-05-18T02:35:08Z"},{"alias_kind":"pith_short_12","alias_value":"X2BY3BGNY223","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"X2BY3BGNY223R4JX","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"X2BY3BGN","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:X2BY3BGNY223R4JXHK7LPKZW6I","target":"record","payload":{"canonical_record":{"source":{"id":"0812.3364","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-12-17T18:34:20Z","cross_cats_sorted":[],"title_canon_sha256":"224bb4aaceda1a17db9445dc0ee795df3dfc36f785c24a3da0b1269fdefac83e","abstract_canon_sha256":"a759eec0b58b3eb13e611b7c02c085010c1d6163fb827c47ea64150384629ab2"},"schema_version":"1.0"},"canonical_sha256":"be838d84cdc6b5b8f1373abeb7ab36f23d6e88cfd64020efcaa9987c113ae941","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:35:08.724539Z","signature_b64":"O2+zYJX9+D7RbdEhcayKtOqvPHGQXhwEiS0G0tVzKAXHpLVD0OdsL4ord4ah3JwzIV062+CPMJYXGuP/4UyfAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"be838d84cdc6b5b8f1373abeb7ab36f23d6e88cfd64020efcaa9987c113ae941","last_reissued_at":"2026-05-18T02:35:08.724114Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:35:08.724114Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0812.3364","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:35:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RmRjDh/crBC/OTO039fvGlckHCn7DxWb6LVZizeOqlIqcI3lRlndw+Uw21h/nDoL+gv/23Sy3eBGXrIVHZWxCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T01:48:31.470393Z"},"content_sha256":"699a82653e1145cecf066c4109d265831f270c888a5ad32031bb809b44d98034","schema_version":"1.0","event_id":"sha256:699a82653e1145cecf066c4109d265831f270c888a5ad32031bb809b44d98034"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:X2BY3BGNY223R4JXHK7LPKZW6I","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Weyl Invariance and the Origins of Mass","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A. R. Gover, A. Shaukat, A. Waldron","submitted_at":"2008-12-17T18:34:20Z","abstract_excerpt":"By a uniform and simple Weyl invariant coupling of scale and matter fields, we construct theories that unify massless, massive, and partially massless excitations. Masses are related to tractor Weyl weights, and Breitenlohner-Freedman stability bounds in anti de Sitter amount to reality of these weights. The method relies on tractor calculus -- mathematical machinery allowing Weyl invariance to be kept manifest at all stages. The equivalence between tractor and higher spin systems with arbitrary spins and masses is also considered."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0812.3364","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":""},"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":"2026-05-18T02:35:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CplMt2wAxH8UK4+FTHs7Ex5uJYiMSeLxMv5ldRLEb/fHtq3blM924/kkNwI2pQWlmYanFW97OjVx6sdLgR9wDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T01:48:31.470913Z"},"content_sha256":"4fab2be85d473e76caa427fa16ad3d595a5fd5dcc45229245db85412b20391e2","schema_version":"1.0","event_id":"sha256:4fab2be85d473e76caa427fa16ad3d595a5fd5dcc45229245db85412b20391e2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X2BY3BGNY223R4JXHK7LPKZW6I/bundle.json","state_url":"https://pith.science/pith/X2BY3BGNY223R4JXHK7LPKZW6I/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X2BY3BGNY223R4JXHK7LPKZW6I/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":"2026-06-12T01:48:31Z","links":{"resolver":"https://pith.science/pith/X2BY3BGNY223R4JXHK7LPKZW6I","bundle":"https://pith.science/pith/X2BY3BGNY223R4JXHK7LPKZW6I/bundle.json","state":"https://pith.science/pith/X2BY3BGNY223R4JXHK7LPKZW6I/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X2BY3BGNY223R4JXHK7LPKZW6I/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:X2BY3BGNY223R4JXHK7LPKZW6I","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":"a759eec0b58b3eb13e611b7c02c085010c1d6163fb827c47ea64150384629ab2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-12-17T18:34:20Z","title_canon_sha256":"224bb4aaceda1a17db9445dc0ee795df3dfc36f785c24a3da0b1269fdefac83e"},"schema_version":"1.0","source":{"id":"0812.3364","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0812.3364","created_at":"2026-05-18T02:35:08Z"},{"alias_kind":"arxiv_version","alias_value":"0812.3364v1","created_at":"2026-05-18T02:35:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0812.3364","created_at":"2026-05-18T02:35:08Z"},{"alias_kind":"pith_short_12","alias_value":"X2BY3BGNY223","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"X2BY3BGNY223R4JX","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"X2BY3BGN","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:4fab2be85d473e76caa427fa16ad3d595a5fd5dcc45229245db85412b20391e2","target":"graph","created_at":"2026-05-18T02:35:08Z","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"},"paper":{"abstract_excerpt":"By a uniform and simple Weyl invariant coupling of scale and matter fields, we construct theories that unify massless, massive, and partially massless excitations. Masses are related to tractor Weyl weights, and Breitenlohner-Freedman stability bounds in anti de Sitter amount to reality of these weights. The method relies on tractor calculus -- mathematical machinery allowing Weyl invariance to be kept manifest at all stages. The equivalence between tractor and higher spin systems with arbitrary spins and masses is also considered.","authors_text":"A. R. Gover, A. Shaukat, A. Waldron","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-12-17T18:34:20Z","title":"Weyl Invariance and the Origins of Mass"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0812.3364","kind":"arxiv","version":1},"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":"sha256:699a82653e1145cecf066c4109d265831f270c888a5ad32031bb809b44d98034","target":"record","created_at":"2026-05-18T02:35:08Z","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":"a759eec0b58b3eb13e611b7c02c085010c1d6163fb827c47ea64150384629ab2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-12-17T18:34:20Z","title_canon_sha256":"224bb4aaceda1a17db9445dc0ee795df3dfc36f785c24a3da0b1269fdefac83e"},"schema_version":"1.0","source":{"id":"0812.3364","kind":"arxiv","version":1}},"canonical_sha256":"be838d84cdc6b5b8f1373abeb7ab36f23d6e88cfd64020efcaa9987c113ae941","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"be838d84cdc6b5b8f1373abeb7ab36f23d6e88cfd64020efcaa9987c113ae941","first_computed_at":"2026-05-18T02:35:08.724114Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:35:08.724114Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"O2+zYJX9+D7RbdEhcayKtOqvPHGQXhwEiS0G0tVzKAXHpLVD0OdsL4ord4ah3JwzIV062+CPMJYXGuP/4UyfAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:35:08.724539Z","signed_message":"canonical_sha256_bytes"},"source_id":"0812.3364","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:699a82653e1145cecf066c4109d265831f270c888a5ad32031bb809b44d98034","sha256:4fab2be85d473e76caa427fa16ad3d595a5fd5dcc45229245db85412b20391e2"],"state_sha256":"82362389bac99708e2e5ce98c6707c5995b3f70417316a3c8c8fd3890f07264f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QrzfSykdm633F+TG73OG/igZPkwWe/MbIdsw9F2qHsKm6GON11aV+InQsPE06qdE4COD5uzLi+L+Hiqf+NEDCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T01:48:31.473519Z","bundle_sha256":"2f2d8906959b7252bbb84615ba6937af508686dbb38dee769c244be787829249"}}