{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:AC355RO3GPZADJML7MY3K7TFJJ","short_pith_number":"pith:AC355RO3","canonical_record":{"source":{"id":"0904.1738","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.DG","submitted_at":"2009-04-10T19:31:26Z","cross_cats_sorted":["gr-qc","hep-th"],"title_canon_sha256":"2223ed905e050b957ac2deaaf3d7b5798fd30721774b9822dce5775c0d87a87a","abstract_canon_sha256":"451935b5bec2a2f5367e718fdd2fba1b58027b0350413ce3b1956d4a9f177d79"},"schema_version":"1.0"},"canonical_sha256":"00b7dec5db33f201a58bfb31b57e654a681ee5c86cb0f86879452648f55c0494","source":{"kind":"arxiv","id":"0904.1738","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0904.1738","created_at":"2026-07-04T15:47:07Z"},{"alias_kind":"arxiv_version","alias_value":"0904.1738v2","created_at":"2026-07-04T15:47:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0904.1738","created_at":"2026-07-04T15:47:07Z"},{"alias_kind":"pith_short_12","alias_value":"AC355RO3GPZA","created_at":"2026-07-04T15:47:07Z"},{"alias_kind":"pith_short_16","alias_value":"AC355RO3GPZADJML","created_at":"2026-07-04T15:47:07Z"},{"alias_kind":"pith_short_8","alias_value":"AC355RO3","created_at":"2026-07-04T15:47:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:AC355RO3GPZADJML7MY3K7TFJJ","target":"record","payload":{"canonical_record":{"source":{"id":"0904.1738","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.DG","submitted_at":"2009-04-10T19:31:26Z","cross_cats_sorted":["gr-qc","hep-th"],"title_canon_sha256":"2223ed905e050b957ac2deaaf3d7b5798fd30721774b9822dce5775c0d87a87a","abstract_canon_sha256":"451935b5bec2a2f5367e718fdd2fba1b58027b0350413ce3b1956d4a9f177d79"},"schema_version":"1.0"},"canonical_sha256":"00b7dec5db33f201a58bfb31b57e654a681ee5c86cb0f86879452648f55c0494","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:47:07.666311Z","signature_b64":"sVYDVfnd4WZgsO40kT+TEHOssb/ZjcFtCF5pUDrMJegK5lIe2HRbSoJ8p3szJlEAMizMaB67wlbGcfWztHpeAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"00b7dec5db33f201a58bfb31b57e654a681ee5c86cb0f86879452648f55c0494","last_reissued_at":"2026-07-04T15:47:07.665931Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:47:07.665931Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0904.1738","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":"2026-07-04T15:47:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2ZW8eCv7KWmVaPqJIah/i977Uah1T43N9JkWfFwHHAYt9n6U7V90dYmm7tuBqnMZcSh1AvMyLTH+6FQowbzhBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-18T16:21:26.975738Z"},"content_sha256":"e09f9f0f623cdf13b37e4d8b9e0f076d852f8836f27d1cdd0cb175e16bc68256","schema_version":"1.0","event_id":"sha256:e09f9f0f623cdf13b37e4d8b9e0f076d852f8836f27d1cdd0cb175e16bc68256"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:AC355RO3GPZADJML7MY3K7TFJJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Symmetric Space Cartan Connections and Gravity in Three and Four Dimensions","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":["gr-qc","hep-th"],"primary_cat":"math.DG","authors_text":"Derek K. Wise","submitted_at":"2009-04-10T19:31:26Z","abstract_excerpt":"Einstein gravity in both 3 and 4 dimensions, as well as some interesting generalizations, can be written as gauge theories in which the connection is a Cartan connection for geometry modeled on a symmetric space. The relevant models in 3 dimensions include Einstein gravity in Chern-Simons form, as well as a new formulation of topologically massive gravity, with arbitrary cosmological constant, as a single constrained Chern-Simons action. In 4 dimensions the main model of interest is MacDowell-Mansouri gravity, generalized to include the Immirzi parameter in a natural way. I formulate these the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0904.1738","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/0904.1738/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":"2026-07-04T15:47:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+XDCG4+donm5Jx4WCB2SY3HFRAlOCX1UTmdrQxgwEthibGxlU6E7JM52KOJDS8fwi/FjtdDaMwcVji1ogop8DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-18T16:21:26.976092Z"},"content_sha256":"333c4b04e339ae521861de2716e9ab9a0b09e012fd07fe880b26147bba86b20c","schema_version":"1.0","event_id":"sha256:333c4b04e339ae521861de2716e9ab9a0b09e012fd07fe880b26147bba86b20c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AC355RO3GPZADJML7MY3K7TFJJ/bundle.json","state_url":"https://pith.science/pith/AC355RO3GPZADJML7MY3K7TFJJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AC355RO3GPZADJML7MY3K7TFJJ/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":"2026-07-18T16:21:26Z","links":{"resolver":"https://pith.science/pith/AC355RO3GPZADJML7MY3K7TFJJ","bundle":"https://pith.science/pith/AC355RO3GPZADJML7MY3K7TFJJ/bundle.json","state":"https://pith.science/pith/AC355RO3GPZADJML7MY3K7TFJJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AC355RO3GPZADJML7MY3K7TFJJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:AC355RO3GPZADJML7MY3K7TFJJ","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":"451935b5bec2a2f5367e718fdd2fba1b58027b0350413ce3b1956d4a9f177d79","cross_cats_sorted":["gr-qc","hep-th"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.DG","submitted_at":"2009-04-10T19:31:26Z","title_canon_sha256":"2223ed905e050b957ac2deaaf3d7b5798fd30721774b9822dce5775c0d87a87a"},"schema_version":"1.0","source":{"id":"0904.1738","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0904.1738","created_at":"2026-07-04T15:47:07Z"},{"alias_kind":"arxiv_version","alias_value":"0904.1738v2","created_at":"2026-07-04T15:47:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0904.1738","created_at":"2026-07-04T15:47:07Z"},{"alias_kind":"pith_short_12","alias_value":"AC355RO3GPZA","created_at":"2026-07-04T15:47:07Z"},{"alias_kind":"pith_short_16","alias_value":"AC355RO3GPZADJML","created_at":"2026-07-04T15:47:07Z"},{"alias_kind":"pith_short_8","alias_value":"AC355RO3","created_at":"2026-07-04T15:47:07Z"}],"graph_snapshots":[{"event_id":"sha256:333c4b04e339ae521861de2716e9ab9a0b09e012fd07fe880b26147bba86b20c","target":"graph","created_at":"2026-07-04T15:47:07Z","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/0904.1738/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Einstein gravity in both 3 and 4 dimensions, as well as some interesting generalizations, can be written as gauge theories in which the connection is a Cartan connection for geometry modeled on a symmetric space. The relevant models in 3 dimensions include Einstein gravity in Chern-Simons form, as well as a new formulation of topologically massive gravity, with arbitrary cosmological constant, as a single constrained Chern-Simons action. In 4 dimensions the main model of interest is MacDowell-Mansouri gravity, generalized to include the Immirzi parameter in a natural way. I formulate these the","authors_text":"Derek K. Wise","cross_cats":["gr-qc","hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.DG","submitted_at":"2009-04-10T19:31:26Z","title":"Symmetric Space Cartan Connections and Gravity in Three and Four Dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0904.1738","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:e09f9f0f623cdf13b37e4d8b9e0f076d852f8836f27d1cdd0cb175e16bc68256","target":"record","created_at":"2026-07-04T15:47:07Z","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":"451935b5bec2a2f5367e718fdd2fba1b58027b0350413ce3b1956d4a9f177d79","cross_cats_sorted":["gr-qc","hep-th"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.DG","submitted_at":"2009-04-10T19:31:26Z","title_canon_sha256":"2223ed905e050b957ac2deaaf3d7b5798fd30721774b9822dce5775c0d87a87a"},"schema_version":"1.0","source":{"id":"0904.1738","kind":"arxiv","version":2}},"canonical_sha256":"00b7dec5db33f201a58bfb31b57e654a681ee5c86cb0f86879452648f55c0494","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"00b7dec5db33f201a58bfb31b57e654a681ee5c86cb0f86879452648f55c0494","first_computed_at":"2026-07-04T15:47:07.665931Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:47:07.665931Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sVYDVfnd4WZgsO40kT+TEHOssb/ZjcFtCF5pUDrMJegK5lIe2HRbSoJ8p3szJlEAMizMaB67wlbGcfWztHpeAw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:47:07.666311Z","signed_message":"canonical_sha256_bytes"},"source_id":"0904.1738","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e09f9f0f623cdf13b37e4d8b9e0f076d852f8836f27d1cdd0cb175e16bc68256","sha256:333c4b04e339ae521861de2716e9ab9a0b09e012fd07fe880b26147bba86b20c"],"state_sha256":"372fcc0985f2f7599ee4f28c9d5ffb34dcdd6124beef84e37df7d759a1aaa907"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M+DfRaTLQ2p/yJNgdWZIvyLmDcZVft4RQdyGQYweLQ9S9ULQlDetcyDIn2NE27okIk3mbrps5Pg82p35mK+wAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-18T16:21:26.978135Z","bundle_sha256":"34ddc1afa778069428001375562f8a6ebd2349d064c4c3ba802635e19300879b"}}