{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:QTQRCBK6F6IXUWPHWWQL4W7ZTW","short_pith_number":"pith:QTQRCBK6","canonical_record":{"source":{"id":"1409.6778","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-09-24T00:05:42Z","cross_cats_sorted":["gr-qc","math-ph","math.DG","math.MP","math.RT"],"title_canon_sha256":"2c917b7c4a95782e8b47c0e38d7a495151dfedc483ee29d25b3c58723c5a5664","abstract_canon_sha256":"90500947780396b7f5555d2e119c6db232002efb950882b132edf2a9a6435992"},"schema_version":"1.0"},"canonical_sha256":"84e111055e2f917a59e7b5a0be5bf99db6c7d7d68019c8be3f5f84e57029c79e","source":{"kind":"arxiv","id":"1409.6778","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.6778","created_at":"2026-05-18T01:22:41Z"},{"alias_kind":"arxiv_version","alias_value":"1409.6778v1","created_at":"2026-05-18T01:22:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.6778","created_at":"2026-05-18T01:22:41Z"},{"alias_kind":"pith_short_12","alias_value":"QTQRCBK6F6IX","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"QTQRCBK6F6IXUWPH","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"QTQRCBK6","created_at":"2026-05-18T12:28:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:QTQRCBK6F6IXUWPHWWQL4W7ZTW","target":"record","payload":{"canonical_record":{"source":{"id":"1409.6778","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-09-24T00:05:42Z","cross_cats_sorted":["gr-qc","math-ph","math.DG","math.MP","math.RT"],"title_canon_sha256":"2c917b7c4a95782e8b47c0e38d7a495151dfedc483ee29d25b3c58723c5a5664","abstract_canon_sha256":"90500947780396b7f5555d2e119c6db232002efb950882b132edf2a9a6435992"},"schema_version":"1.0"},"canonical_sha256":"84e111055e2f917a59e7b5a0be5bf99db6c7d7d68019c8be3f5f84e57029c79e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:41.861692Z","signature_b64":"Pxv6l1AYHQ6073MUpFtjx/xGVia1sXu547u1BPRb2MZRppmvez4VpnGqMNIfTPNa0lNouOptjKSmit726fXHAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"84e111055e2f917a59e7b5a0be5bf99db6c7d7d68019c8be3f5f84e57029c79e","last_reissued_at":"2026-05-18T01:22:41.861200Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:41.861200Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1409.6778","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":"2026-05-18T01:22:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VOVg34WmLTgBySHqgJlqfybZ9uk54Gkh6jrRXv0dCPgK2Grx4hRdVurcIO7QA3m5Npt6LoSLFbzG7acFPznYDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T18:15:58.284734Z"},"content_sha256":"258d2c604edd6f5d71f7d2258ff0d9478e479c1d47532cc98bff4044ebe7237e","schema_version":"1.0","event_id":"sha256:258d2c604edd6f5d71f7d2258ff0d9478e479c1d47532cc98bff4044ebe7237e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:QTQRCBK6F6IXUWPHWWQL4W7ZTW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Metric projective geometry, BGG detour complexes and partially massless gauge theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math-ph","math.DG","math.MP","math.RT"],"primary_cat":"hep-th","authors_text":"A. R. Gover, A. Waldron, E. Latini","submitted_at":"2014-09-24T00:05:42Z","abstract_excerpt":"A projective geometry is an equivalence class of torsion free connections sharing the same unparametrised geodesics; this is a basic structure for understanding physical systems. Metric projective geometry is concerned with the interaction of projective and pseudo-Riemannian geometry. We show that the BGG machinery of projective geometry combines with structures known as Yang-Mills detour complexes to produce a general tool for generating invariant pseudo-Riemannian gauge theories. This produces (detour) complexes of differential operators corresponding to gauge invariances and dynamics. We sh"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.6778","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":"2026-05-18T01:22:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JXns8Zm9/rxBPrdHU5Qm7lorSb6aXzIbGrljV+I/DyL61UbEZvY/0gC47JeWHR0YhUr+WfsEPyxBQSCDU1tuBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T18:15:58.285083Z"},"content_sha256":"097b6dec883a5c9b6bd804a95ee49b6b9bfb2ccfd1dac807d937832b82425df7","schema_version":"1.0","event_id":"sha256:097b6dec883a5c9b6bd804a95ee49b6b9bfb2ccfd1dac807d937832b82425df7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QTQRCBK6F6IXUWPHWWQL4W7ZTW/bundle.json","state_url":"https://pith.science/pith/QTQRCBK6F6IXUWPHWWQL4W7ZTW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QTQRCBK6F6IXUWPHWWQL4W7ZTW/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":"2026-07-04T18:15:58Z","links":{"resolver":"https://pith.science/pith/QTQRCBK6F6IXUWPHWWQL4W7ZTW","bundle":"https://pith.science/pith/QTQRCBK6F6IXUWPHWWQL4W7ZTW/bundle.json","state":"https://pith.science/pith/QTQRCBK6F6IXUWPHWWQL4W7ZTW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QTQRCBK6F6IXUWPHWWQL4W7ZTW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:QTQRCBK6F6IXUWPHWWQL4W7ZTW","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":"90500947780396b7f5555d2e119c6db232002efb950882b132edf2a9a6435992","cross_cats_sorted":["gr-qc","math-ph","math.DG","math.MP","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-09-24T00:05:42Z","title_canon_sha256":"2c917b7c4a95782e8b47c0e38d7a495151dfedc483ee29d25b3c58723c5a5664"},"schema_version":"1.0","source":{"id":"1409.6778","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.6778","created_at":"2026-05-18T01:22:41Z"},{"alias_kind":"arxiv_version","alias_value":"1409.6778v1","created_at":"2026-05-18T01:22:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.6778","created_at":"2026-05-18T01:22:41Z"},{"alias_kind":"pith_short_12","alias_value":"QTQRCBK6F6IX","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"QTQRCBK6F6IXUWPH","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"QTQRCBK6","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:097b6dec883a5c9b6bd804a95ee49b6b9bfb2ccfd1dac807d937832b82425df7","target":"graph","created_at":"2026-05-18T01:22:41Z","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":"A projective geometry is an equivalence class of torsion free connections sharing the same unparametrised geodesics; this is a basic structure for understanding physical systems. Metric projective geometry is concerned with the interaction of projective and pseudo-Riemannian geometry. We show that the BGG machinery of projective geometry combines with structures known as Yang-Mills detour complexes to produce a general tool for generating invariant pseudo-Riemannian gauge theories. This produces (detour) complexes of differential operators corresponding to gauge invariances and dynamics. We sh","authors_text":"A. R. Gover, A. Waldron, E. Latini","cross_cats":["gr-qc","math-ph","math.DG","math.MP","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-09-24T00:05:42Z","title":"Metric projective geometry, BGG detour complexes and partially massless gauge theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.6778","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":"sha256:258d2c604edd6f5d71f7d2258ff0d9478e479c1d47532cc98bff4044ebe7237e","target":"record","created_at":"2026-05-18T01:22:41Z","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":"90500947780396b7f5555d2e119c6db232002efb950882b132edf2a9a6435992","cross_cats_sorted":["gr-qc","math-ph","math.DG","math.MP","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-09-24T00:05:42Z","title_canon_sha256":"2c917b7c4a95782e8b47c0e38d7a495151dfedc483ee29d25b3c58723c5a5664"},"schema_version":"1.0","source":{"id":"1409.6778","kind":"arxiv","version":1}},"canonical_sha256":"84e111055e2f917a59e7b5a0be5bf99db6c7d7d68019c8be3f5f84e57029c79e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"84e111055e2f917a59e7b5a0be5bf99db6c7d7d68019c8be3f5f84e57029c79e","first_computed_at":"2026-05-18T01:22:41.861200Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:41.861200Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Pxv6l1AYHQ6073MUpFtjx/xGVia1sXu547u1BPRb2MZRppmvez4VpnGqMNIfTPNa0lNouOptjKSmit726fXHAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:41.861692Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.6778","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:258d2c604edd6f5d71f7d2258ff0d9478e479c1d47532cc98bff4044ebe7237e","sha256:097b6dec883a5c9b6bd804a95ee49b6b9bfb2ccfd1dac807d937832b82425df7"],"state_sha256":"48a5ca60ee37ecc6f5b9797bc111caa625c29e2319ecdb25df94fa16ef1ddd11"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AK+tb1dXJytLvr3Fv0YxqJFYNchbvmNtSIEefiDIb8NxDw++XUTEuc7fBakx2BiS697APLHWcmIEUjKNhz/CCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T18:15:58.287200Z","bundle_sha256":"26137692024b7b37b23bb7f1f56575c9599c5b6c355cba724318dad483c02ee2"}}