{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:I6M54HNPYYMYCVF32J53OSJHQ4","short_pith_number":"pith:I6M54HNP","canonical_record":{"source":{"id":"gr-qc/0611154","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2006-11-30T03:11:27Z","cross_cats_sorted":["hep-th","math.DG"],"title_canon_sha256":"91d4b30c9ad6f584e2cc28bcbcd070c8369b587c7dabd58fde44d9020e2c4346","abstract_canon_sha256":"e22d76543b0bb327c3f294babfa4f755d76923ef7cc37675f7df3bb70adf193c"},"schema_version":"1.0"},"canonical_sha256":"4799de1dafc6198154bbd27bb74927873a8527cc804c3b20be0c381cea21fa09","source":{"kind":"arxiv","id":"gr-qc/0611154","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0611154","created_at":"2026-05-18T02:37:27Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0611154v2","created_at":"2026-05-18T02:37:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0611154","created_at":"2026-05-18T02:37:27Z"},{"alias_kind":"pith_short_12","alias_value":"I6M54HNPYYMY","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"I6M54HNPYYMYCVF3","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"I6M54HNP","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:I6M54HNPYYMYCVF32J53OSJHQ4","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/0611154","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2006-11-30T03:11:27Z","cross_cats_sorted":["hep-th","math.DG"],"title_canon_sha256":"91d4b30c9ad6f584e2cc28bcbcd070c8369b587c7dabd58fde44d9020e2c4346","abstract_canon_sha256":"e22d76543b0bb327c3f294babfa4f755d76923ef7cc37675f7df3bb70adf193c"},"schema_version":"1.0"},"canonical_sha256":"4799de1dafc6198154bbd27bb74927873a8527cc804c3b20be0c381cea21fa09","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:37:27.089631Z","signature_b64":"K7/Ve4CK4iDGKX8w0EsZeY3sw2YzKgsKwjKJ21hlF/Qy343XngIe3H3IR9hjvp5M7Dht9pCsOoR3Wp6VcnouCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4799de1dafc6198154bbd27bb74927873a8527cc804c3b20be0c381cea21fa09","last_reissued_at":"2026-05-18T02:37:27.089164Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:37:27.089164Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/0611154","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":"2026-05-18T02:37:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mmNV1uroVIIccOGiyoIkl8M45cd7ioUxTINVbAt1itYoT0n5HqpkkD7FHAEIQlTQNM5Fucum0DSZR3E8rIUVAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T06:16:34.455632Z"},"content_sha256":"c6f1e8b2bec0ab7f9052c5732042f695750e1f39c1a53aac0699159b851c3c1b","schema_version":"1.0","event_id":"sha256:c6f1e8b2bec0ab7f9052c5732042f695750e1f39c1a53aac0699159b851c3c1b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:I6M54HNPYYMYCVF32J53OSJHQ4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"MacDowell-Mansouri gravity and Cartan geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.DG"],"primary_cat":"gr-qc","authors_text":"Derek K. Wise","submitted_at":"2006-11-30T03:11:27Z","abstract_excerpt":"The geometric content of the MacDowell-Mansouri formulation of general relativity is best understood in terms of Cartan geometry. In particular, Cartan geometry gives clear geometric meaning to the MacDowell-Mansouri trick of combining the Levi-Civita connection and coframe field, or soldering form, into a single physical field. The Cartan perspective allows us to view physical spacetime as tangentially approximated by an arbitrary homogeneous \"model spacetime\", including not only the flat Minkowski model, as is implicitly used in standard general relativity, but also de Sitter, anti de Sitter"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0611154","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":""},"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":"2026-05-18T02:37:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"shvXM6qoY3FtC+wNvlULMF0oPpd9U6LLEDuFvfpuzd1B1Z95+mrIxcJC6vIgP+hBGuR378F+UGMN49eOicqdCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T06:16:34.456006Z"},"content_sha256":"ffb07c479ce512b5677e010ddd2dc5d16b850d4deb6b44ad3bcd83cc8dd635e7","schema_version":"1.0","event_id":"sha256:ffb07c479ce512b5677e010ddd2dc5d16b850d4deb6b44ad3bcd83cc8dd635e7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I6M54HNPYYMYCVF32J53OSJHQ4/bundle.json","state_url":"https://pith.science/pith/I6M54HNPYYMYCVF32J53OSJHQ4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I6M54HNPYYMYCVF32J53OSJHQ4/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":"2026-05-21T06:16:34Z","links":{"resolver":"https://pith.science/pith/I6M54HNPYYMYCVF32J53OSJHQ4","bundle":"https://pith.science/pith/I6M54HNPYYMYCVF32J53OSJHQ4/bundle.json","state":"https://pith.science/pith/I6M54HNPYYMYCVF32J53OSJHQ4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I6M54HNPYYMYCVF32J53OSJHQ4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:I6M54HNPYYMYCVF32J53OSJHQ4","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":"e22d76543b0bb327c3f294babfa4f755d76923ef7cc37675f7df3bb70adf193c","cross_cats_sorted":["hep-th","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2006-11-30T03:11:27Z","title_canon_sha256":"91d4b30c9ad6f584e2cc28bcbcd070c8369b587c7dabd58fde44d9020e2c4346"},"schema_version":"1.0","source":{"id":"gr-qc/0611154","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0611154","created_at":"2026-05-18T02:37:27Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0611154v2","created_at":"2026-05-18T02:37:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0611154","created_at":"2026-05-18T02:37:27Z"},{"alias_kind":"pith_short_12","alias_value":"I6M54HNPYYMY","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"I6M54HNPYYMYCVF3","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"I6M54HNP","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:ffb07c479ce512b5677e010ddd2dc5d16b850d4deb6b44ad3bcd83cc8dd635e7","target":"graph","created_at":"2026-05-18T02:37:27Z","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":"The geometric content of the MacDowell-Mansouri formulation of general relativity is best understood in terms of Cartan geometry. In particular, Cartan geometry gives clear geometric meaning to the MacDowell-Mansouri trick of combining the Levi-Civita connection and coframe field, or soldering form, into a single physical field. The Cartan perspective allows us to view physical spacetime as tangentially approximated by an arbitrary homogeneous \"model spacetime\", including not only the flat Minkowski model, as is implicitly used in standard general relativity, but also de Sitter, anti de Sitter","authors_text":"Derek K. Wise","cross_cats":["hep-th","math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2006-11-30T03:11:27Z","title":"MacDowell-Mansouri gravity and Cartan geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0611154","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:c6f1e8b2bec0ab7f9052c5732042f695750e1f39c1a53aac0699159b851c3c1b","target":"record","created_at":"2026-05-18T02:37:27Z","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":"e22d76543b0bb327c3f294babfa4f755d76923ef7cc37675f7df3bb70adf193c","cross_cats_sorted":["hep-th","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2006-11-30T03:11:27Z","title_canon_sha256":"91d4b30c9ad6f584e2cc28bcbcd070c8369b587c7dabd58fde44d9020e2c4346"},"schema_version":"1.0","source":{"id":"gr-qc/0611154","kind":"arxiv","version":2}},"canonical_sha256":"4799de1dafc6198154bbd27bb74927873a8527cc804c3b20be0c381cea21fa09","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4799de1dafc6198154bbd27bb74927873a8527cc804c3b20be0c381cea21fa09","first_computed_at":"2026-05-18T02:37:27.089164Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:37:27.089164Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K7/Ve4CK4iDGKX8w0EsZeY3sw2YzKgsKwjKJ21hlF/Qy343XngIe3H3IR9hjvp5M7Dht9pCsOoR3Wp6VcnouCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:37:27.089631Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0611154","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c6f1e8b2bec0ab7f9052c5732042f695750e1f39c1a53aac0699159b851c3c1b","sha256:ffb07c479ce512b5677e010ddd2dc5d16b850d4deb6b44ad3bcd83cc8dd635e7"],"state_sha256":"621368e3da371a53245a314a71aebfe19b77575fb97a16c47780de975e926172"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b+CTqAsP1h8x+n8Gmb5kKgLAzr2lk1uhwdPnt/WoLAUNFKi6jNiHRCJ4GSxrinqc1Sh2iv13u4xFjQpBLuA+Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T06:16:34.458026Z","bundle_sha256":"ec4049c3bcd799477e92bf700d0621fc531149a01e9314a8ce35b440c3d77cb0"}}