{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:2MZKTZGMLOUZOUFNJ4MSEPC3PW","short_pith_number":"pith:2MZKTZGM","canonical_record":{"source":{"id":"gr-qc/0210051","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2002-10-16T14:41:24Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"8a7f45752701d7d92b92c178769015487b094e6c4f6e37813ca2ef635de1fd3e","abstract_canon_sha256":"3b009c5a3ac66c8e3aa91d5671f300d320bba15e457761957a44b3aab9126a08"},"schema_version":"1.0"},"canonical_sha256":"d332a9e4cc5ba99750ad4f19223c5b7d9186f34d01dffb174a3b5517de4192e2","source":{"kind":"arxiv","id":"gr-qc/0210051","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0210051","created_at":"2026-07-04T15:36:20Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0210051v1","created_at":"2026-07-04T15:36:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0210051","created_at":"2026-07-04T15:36:20Z"},{"alias_kind":"pith_short_12","alias_value":"2MZKTZGMLOUZ","created_at":"2026-07-04T15:36:20Z"},{"alias_kind":"pith_short_16","alias_value":"2MZKTZGMLOUZOUFN","created_at":"2026-07-04T15:36:20Z"},{"alias_kind":"pith_short_8","alias_value":"2MZKTZGM","created_at":"2026-07-04T15:36:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:2MZKTZGMLOUZOUFNJ4MSEPC3PW","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/0210051","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2002-10-16T14:41:24Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"8a7f45752701d7d92b92c178769015487b094e6c4f6e37813ca2ef635de1fd3e","abstract_canon_sha256":"3b009c5a3ac66c8e3aa91d5671f300d320bba15e457761957a44b3aab9126a08"},"schema_version":"1.0"},"canonical_sha256":"d332a9e4cc5ba99750ad4f19223c5b7d9186f34d01dffb174a3b5517de4192e2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:36:20.422578Z","signature_b64":"Xv460PYGZ4UM4cXcKH+jRAHm27EnP14fpuzU9rPcwIHUSv5B4xiYWcssF9uyY5UTAOeomPE+cM2ga3N1LgtkDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d332a9e4cc5ba99750ad4f19223c5b7d9186f34d01dffb174a3b5517de4192e2","last_reissued_at":"2026-07-04T15:36:20.422156Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:36:20.422156Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/0210051","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":"2026-07-04T15:36:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zcYN4GkN/61bhbGUaMUUvqpdWT0YokZ6zF94rOWAlDpspL5Sau3iuh0WCl+4Hy+YiARt3vwedyrBV73ywh0UCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T06:11:53.417460Z"},"content_sha256":"4d6d69299743041f73de9f25b466d4afc743439910684cacbff1b7a0c1db17dd","schema_version":"1.0","event_id":"sha256:4d6d69299743041f73de9f25b466d4afc743439910684cacbff1b7a0c1db17dd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:2MZKTZGMLOUZOUFNJ4MSEPC3PW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spin Foam Models of Yang-Mills Theory Coupled to Gravity","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"A. Mikovic","submitted_at":"2002-10-16T14:41:24Z","abstract_excerpt":"We construct a spin foam model of Yang-Mills theory coupled to gravity by using a discretized path integral of the BF theory with polynomial interactions and the Barret-Crane ansatz. In the Euclidian gravity case we obtain a vertex amplitude which is determined by a vertex operator acting on a simple spin network function. The Euclidian gravity results can be straightforwardly extended to the Lorentzian case, so that we propose a Lorentzian spin foam model of Yang-Mills theory coupled to gravity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0210051","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/gr-qc/0210051/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":"2026-07-04T15:36:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xuXFbWLTdfiBNgdzsvd/YY9kGcHR9GOsJhwHpTmAatBW3U+N0O+P0GCoRkdCbMoVXriMPsaHecgpyd278TE4Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T06:11:53.418368Z"},"content_sha256":"d6e93e98346180da23e7704f3e337e53cd9d3a3c54a72129e59ec3214029b003","schema_version":"1.0","event_id":"sha256:d6e93e98346180da23e7704f3e337e53cd9d3a3c54a72129e59ec3214029b003"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2MZKTZGMLOUZOUFNJ4MSEPC3PW/bundle.json","state_url":"https://pith.science/pith/2MZKTZGMLOUZOUFNJ4MSEPC3PW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2MZKTZGMLOUZOUFNJ4MSEPC3PW/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":"2026-08-14T06:11:53Z","links":{"resolver":"https://pith.science/pith/2MZKTZGMLOUZOUFNJ4MSEPC3PW","bundle":"https://pith.science/pith/2MZKTZGMLOUZOUFNJ4MSEPC3PW/bundle.json","state":"https://pith.science/pith/2MZKTZGMLOUZOUFNJ4MSEPC3PW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2MZKTZGMLOUZOUFNJ4MSEPC3PW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:2MZKTZGMLOUZOUFNJ4MSEPC3PW","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":"3b009c5a3ac66c8e3aa91d5671f300d320bba15e457761957a44b3aab9126a08","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"2002-10-16T14:41:24Z","title_canon_sha256":"8a7f45752701d7d92b92c178769015487b094e6c4f6e37813ca2ef635de1fd3e"},"schema_version":"1.0","source":{"id":"gr-qc/0210051","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0210051","created_at":"2026-07-04T15:36:20Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0210051v1","created_at":"2026-07-04T15:36:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0210051","created_at":"2026-07-04T15:36:20Z"},{"alias_kind":"pith_short_12","alias_value":"2MZKTZGMLOUZ","created_at":"2026-07-04T15:36:20Z"},{"alias_kind":"pith_short_16","alias_value":"2MZKTZGMLOUZOUFN","created_at":"2026-07-04T15:36:20Z"},{"alias_kind":"pith_short_8","alias_value":"2MZKTZGM","created_at":"2026-07-04T15:36:20Z"}],"graph_snapshots":[{"event_id":"sha256:d6e93e98346180da23e7704f3e337e53cd9d3a3c54a72129e59ec3214029b003","target":"graph","created_at":"2026-07-04T15:36:20Z","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/gr-qc/0210051/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct a spin foam model of Yang-Mills theory coupled to gravity by using a discretized path integral of the BF theory with polynomial interactions and the Barret-Crane ansatz. In the Euclidian gravity case we obtain a vertex amplitude which is determined by a vertex operator acting on a simple spin network function. The Euclidian gravity results can be straightforwardly extended to the Lorentzian case, so that we propose a Lorentzian spin foam model of Yang-Mills theory coupled to gravity.","authors_text":"A. Mikovic","cross_cats":["hep-th"],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2002-10-16T14:41:24Z","title":"Spin Foam Models of Yang-Mills Theory Coupled to Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0210051","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":"sha256:4d6d69299743041f73de9f25b466d4afc743439910684cacbff1b7a0c1db17dd","target":"record","created_at":"2026-07-04T15:36:20Z","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":"3b009c5a3ac66c8e3aa91d5671f300d320bba15e457761957a44b3aab9126a08","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"2002-10-16T14:41:24Z","title_canon_sha256":"8a7f45752701d7d92b92c178769015487b094e6c4f6e37813ca2ef635de1fd3e"},"schema_version":"1.0","source":{"id":"gr-qc/0210051","kind":"arxiv","version":1}},"canonical_sha256":"d332a9e4cc5ba99750ad4f19223c5b7d9186f34d01dffb174a3b5517de4192e2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d332a9e4cc5ba99750ad4f19223c5b7d9186f34d01dffb174a3b5517de4192e2","first_computed_at":"2026-07-04T15:36:20.422156Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:36:20.422156Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Xv460PYGZ4UM4cXcKH+jRAHm27EnP14fpuzU9rPcwIHUSv5B4xiYWcssF9uyY5UTAOeomPE+cM2ga3N1LgtkDw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:36:20.422578Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0210051","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4d6d69299743041f73de9f25b466d4afc743439910684cacbff1b7a0c1db17dd","sha256:d6e93e98346180da23e7704f3e337e53cd9d3a3c54a72129e59ec3214029b003"],"state_sha256":"a9605c7537cf8673984072e61371b6ecb7966ffbb488b3d72b1ef8db7ded4c2e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BpMvaVdxnmqkK52dPwDHYY4CUydH369HcxE7wX6fh1w5UrpxkYhhUiabwKS8awwmpCKr82oiw2rjSvOHQOxODg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T06:11:53.465970Z","bundle_sha256":"7428fa9c3f9a04b88d9cc33b827bd465a7ea56ecfb82779defad99d8520c5a69"}}