{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:B4AHX7JGPB6WC7KJBGVT3K5EDD","short_pith_number":"pith:B4AHX7JG","canonical_record":{"source":{"id":"1001.0965","kind":"arxiv","version":8},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-01-06T20:55:59Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"9c7f4494fbb4f878d237bf5b2a975264743c921978be386eacd1a38de8f30a8a","abstract_canon_sha256":"31741a0dccfe01f017f6012741e88a336a5f8239090474a775d25ea79ebe9a1b"},"schema_version":"1.0"},"canonical_sha256":"0f007bfd26787d617d4909ab3daba418d783edb96b27dbe8a69d40c43e278048","source":{"kind":"arxiv","id":"1001.0965","version":8},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.0965","created_at":"2026-05-18T04:05:27Z"},{"alias_kind":"arxiv_version","alias_value":"1001.0965v8","created_at":"2026-05-18T04:05:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.0965","created_at":"2026-05-18T04:05:27Z"},{"alias_kind":"pith_short_12","alias_value":"B4AHX7JGPB6W","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"B4AHX7JGPB6WC7KJ","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"B4AHX7JG","created_at":"2026-05-18T12:26:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:B4AHX7JGPB6WC7KJBGVT3K5EDD","target":"record","payload":{"canonical_record":{"source":{"id":"1001.0965","kind":"arxiv","version":8},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-01-06T20:55:59Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"9c7f4494fbb4f878d237bf5b2a975264743c921978be386eacd1a38de8f30a8a","abstract_canon_sha256":"31741a0dccfe01f017f6012741e88a336a5f8239090474a775d25ea79ebe9a1b"},"schema_version":"1.0"},"canonical_sha256":"0f007bfd26787d617d4909ab3daba418d783edb96b27dbe8a69d40c43e278048","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:05:27.975571Z","signature_b64":"ER/loC3qo4dq+jhnniniy1WY4ccOtXTl0Ma8/q/NozupI0HGs3+JNU/EfYEYcWhmGpTPEmplinnmYMx4BHoiCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0f007bfd26787d617d4909ab3daba418d783edb96b27dbe8a69d40c43e278048","last_reissued_at":"2026-05-18T04:05:27.974893Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:05:27.974893Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1001.0965","source_version":8,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:05:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Hxxxxm+zonC6F1C1iWh+zuifO+F+ne2rLqucgPhss0X7JM+bHl4rNvpzk4DjUj4CPqLEsmNmJdki1lBOM9x2Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T05:21:58.573363Z"},"content_sha256":"21855e293abbef5733463cb5bcf26a2815af2efdf082df95f8f3eecc7478d231","schema_version":"1.0","event_id":"sha256:21855e293abbef5733463cb5bcf26a2815af2efdf082df95f8f3eecc7478d231"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:B4AHX7JGPB6WC7KJBGVT3K5EDD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On gauge theories of mass","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Jack Morava","submitted_at":"2010-01-06T20:55:59Z","abstract_excerpt":"Mass as broken conformal symmetry: the graviton makes better sense as a Goldstone boson associated to the dilaton, than vice versa. The discussion of the Yamabe problem for the interior Schwarzschild solution [\\S 4.2.4] has been sharpened in this revision."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.0965","kind":"arxiv","version":8},"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":"2026-05-18T04:05:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JvszhCqQ7EVkuTRiBa09Myq+quyenL1fD3x37N7v6M0A3wIF2mJoGPrjD/njy3SPcZ2f3G0PmtSw2brUGVKkDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T05:21:58.573802Z"},"content_sha256":"e89a47ba6a17ae06f53d67f382e1bd4e3a33db2619b7fca611cfa0cf188c15f9","schema_version":"1.0","event_id":"sha256:e89a47ba6a17ae06f53d67f382e1bd4e3a33db2619b7fca611cfa0cf188c15f9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B4AHX7JGPB6WC7KJBGVT3K5EDD/bundle.json","state_url":"https://pith.science/pith/B4AHX7JGPB6WC7KJBGVT3K5EDD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B4AHX7JGPB6WC7KJBGVT3K5EDD/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":"2026-08-22T05:21:58Z","links":{"resolver":"https://pith.science/pith/B4AHX7JGPB6WC7KJBGVT3K5EDD","bundle":"https://pith.science/pith/B4AHX7JGPB6WC7KJBGVT3K5EDD/bundle.json","state":"https://pith.science/pith/B4AHX7JGPB6WC7KJBGVT3K5EDD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B4AHX7JGPB6WC7KJBGVT3K5EDD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:B4AHX7JGPB6WC7KJBGVT3K5EDD","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":"31741a0dccfe01f017f6012741e88a336a5f8239090474a775d25ea79ebe9a1b","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-01-06T20:55:59Z","title_canon_sha256":"9c7f4494fbb4f878d237bf5b2a975264743c921978be386eacd1a38de8f30a8a"},"schema_version":"1.0","source":{"id":"1001.0965","kind":"arxiv","version":8}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.0965","created_at":"2026-05-18T04:05:27Z"},{"alias_kind":"arxiv_version","alias_value":"1001.0965v8","created_at":"2026-05-18T04:05:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.0965","created_at":"2026-05-18T04:05:27Z"},{"alias_kind":"pith_short_12","alias_value":"B4AHX7JGPB6W","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"B4AHX7JGPB6WC7KJ","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"B4AHX7JG","created_at":"2026-05-18T12:26:05Z"}],"graph_snapshots":[{"event_id":"sha256:e89a47ba6a17ae06f53d67f382e1bd4e3a33db2619b7fca611cfa0cf188c15f9","target":"graph","created_at":"2026-05-18T04:05:27Z","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":"Mass as broken conformal symmetry: the graviton makes better sense as a Goldstone boson associated to the dilaton, than vice versa. The discussion of the Yamabe problem for the interior Schwarzschild solution [\\S 4.2.4] has been sharpened in this revision.","authors_text":"Jack Morava","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-01-06T20:55:59Z","title":"On gauge theories of mass"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.0965","kind":"arxiv","version":8},"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":"sha256:21855e293abbef5733463cb5bcf26a2815af2efdf082df95f8f3eecc7478d231","target":"record","created_at":"2026-05-18T04:05:27Z","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":"31741a0dccfe01f017f6012741e88a336a5f8239090474a775d25ea79ebe9a1b","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-01-06T20:55:59Z","title_canon_sha256":"9c7f4494fbb4f878d237bf5b2a975264743c921978be386eacd1a38de8f30a8a"},"schema_version":"1.0","source":{"id":"1001.0965","kind":"arxiv","version":8}},"canonical_sha256":"0f007bfd26787d617d4909ab3daba418d783edb96b27dbe8a69d40c43e278048","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0f007bfd26787d617d4909ab3daba418d783edb96b27dbe8a69d40c43e278048","first_computed_at":"2026-05-18T04:05:27.974893Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:05:27.974893Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ER/loC3qo4dq+jhnniniy1WY4ccOtXTl0Ma8/q/NozupI0HGs3+JNU/EfYEYcWhmGpTPEmplinnmYMx4BHoiCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:05:27.975571Z","signed_message":"canonical_sha256_bytes"},"source_id":"1001.0965","source_kind":"arxiv","source_version":8}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:21855e293abbef5733463cb5bcf26a2815af2efdf082df95f8f3eecc7478d231","sha256:e89a47ba6a17ae06f53d67f382e1bd4e3a33db2619b7fca611cfa0cf188c15f9"],"state_sha256":"70df9fc3f35e276327f2f4502931fd3e3b714332db6713ee9564de29fbbf07f3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BYfAFDHTAZEhjMbmxCukqwfjPsFncD8SOwF8qpRYeCvQPuoOdx2aXBgETEF50l7yIEgydv/HLTeQ9TEllwVXDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-22T05:21:58.577492Z","bundle_sha256":"f812aaa4b733c835c2067168ee2b77d01fb1a53ab50fd9f4bb8b380f58899bff"}}