{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:5YHUKVNJ2WSP5FKGYCRJOJDVI7","short_pith_number":"pith:5YHUKVNJ","canonical_record":{"source":{"id":"0706.1534","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2007-06-11T19:51:04Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"5f433d34d40a6896597305d9f2d1a8e01f3a0725125df3291010b8c12870af69","abstract_canon_sha256":"e46954fab551ff6e05404f4c5f77ddb1af955c728e6c9e490ab6565b7af45e4c"},"schema_version":"1.0"},"canonical_sha256":"ee0f4555a9d5a4fe9546c0a297247547e8181e18df7ce66ebd2b3d992395c259","source":{"kind":"arxiv","id":"0706.1534","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0706.1534","created_at":"2026-07-04T15:21:16Z"},{"alias_kind":"arxiv_version","alias_value":"0706.1534v2","created_at":"2026-07-04T15:21:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0706.1534","created_at":"2026-07-04T15:21:16Z"},{"alias_kind":"pith_short_12","alias_value":"5YHUKVNJ2WSP","created_at":"2026-07-04T15:21:16Z"},{"alias_kind":"pith_short_16","alias_value":"5YHUKVNJ2WSP5FKG","created_at":"2026-07-04T15:21:16Z"},{"alias_kind":"pith_short_8","alias_value":"5YHUKVNJ","created_at":"2026-07-04T15:21:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:5YHUKVNJ2WSP5FKGYCRJOJDVI7","target":"record","payload":{"canonical_record":{"source":{"id":"0706.1534","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2007-06-11T19:51:04Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"5f433d34d40a6896597305d9f2d1a8e01f3a0725125df3291010b8c12870af69","abstract_canon_sha256":"e46954fab551ff6e05404f4c5f77ddb1af955c728e6c9e490ab6565b7af45e4c"},"schema_version":"1.0"},"canonical_sha256":"ee0f4555a9d5a4fe9546c0a297247547e8181e18df7ce66ebd2b3d992395c259","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:21:16.103270Z","signature_b64":"x6ZPcmyQJ2rcBXUwW1UqEj53m6hazL/bfWhcBAqfwHjkc5oHj8pggrmN7y8nR4aoIyJbM3luTgAymTE2YIx6AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ee0f4555a9d5a4fe9546c0a297247547e8181e18df7ce66ebd2b3d992395c259","last_reissued_at":"2026-07-04T15:21:16.102850Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:21:16.102850Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0706.1534","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":"2026-07-04T15:21:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kVjQ4Hph2D0dRfpv8lYXndTfKtGmd8Sl/JPVwBW9WLxXErsZa+l0ir/+tU+zscO6EyJAbrptSONuhK+iyquUAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T15:35:05.477845Z"},"content_sha256":"aacf0e871307e10ba1bb207e4f56b4c096e428981b59789b907fd07476abb1d7","schema_version":"1.0","event_id":"sha256:aacf0e871307e10ba1bb207e4f56b4c096e428981b59789b907fd07476abb1d7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:5YHUKVNJ2WSP5FKGYCRJOJDVI7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Coupling gauge theory to spinfoam 3d quantum gravity","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Simone Speziale","submitted_at":"2007-06-11T19:51:04Z","abstract_excerpt":"We construct a spinfoam model for Yang-Mills theory coupled to quantum gravity in three dimensional riemannian spacetime. We define the partition function of the coupled system as a power series in g_0^2 G that can be evaluated order by order using grasping rules and the recoupling theory. With respect to previous attempts in the literature, this model assigns the dynamical variables of gravity and Yang-Mills theory to the same simplices of the spinfoam, and it thus provides transition amplitudes for the spin network states of the canonical theory. For SU(2) Yang-Mills theory we show explicitl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0706.1534","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/0706.1534/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":"2026-07-04T15:21:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"izmA2UHU55QqXQT/O1mfwHCItl3MLhtaBFj+U5q3bGfM6vT4Xyad21LAoTuIjKNoGUHPEL6jLpRpea0A2VvUBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T15:35:05.478346Z"},"content_sha256":"72aeca6dc45841b88afa261820ec2623fc37aac7fcb80cb533b0f0d5d72b3dbb","schema_version":"1.0","event_id":"sha256:72aeca6dc45841b88afa261820ec2623fc37aac7fcb80cb533b0f0d5d72b3dbb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5YHUKVNJ2WSP5FKGYCRJOJDVI7/bundle.json","state_url":"https://pith.science/pith/5YHUKVNJ2WSP5FKGYCRJOJDVI7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5YHUKVNJ2WSP5FKGYCRJOJDVI7/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":"2026-08-14T15:35:05Z","links":{"resolver":"https://pith.science/pith/5YHUKVNJ2WSP5FKGYCRJOJDVI7","bundle":"https://pith.science/pith/5YHUKVNJ2WSP5FKGYCRJOJDVI7/bundle.json","state":"https://pith.science/pith/5YHUKVNJ2WSP5FKGYCRJOJDVI7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5YHUKVNJ2WSP5FKGYCRJOJDVI7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:5YHUKVNJ2WSP5FKGYCRJOJDVI7","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":"e46954fab551ff6e05404f4c5f77ddb1af955c728e6c9e490ab6565b7af45e4c","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"2007-06-11T19:51:04Z","title_canon_sha256":"5f433d34d40a6896597305d9f2d1a8e01f3a0725125df3291010b8c12870af69"},"schema_version":"1.0","source":{"id":"0706.1534","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0706.1534","created_at":"2026-07-04T15:21:16Z"},{"alias_kind":"arxiv_version","alias_value":"0706.1534v2","created_at":"2026-07-04T15:21:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0706.1534","created_at":"2026-07-04T15:21:16Z"},{"alias_kind":"pith_short_12","alias_value":"5YHUKVNJ2WSP","created_at":"2026-07-04T15:21:16Z"},{"alias_kind":"pith_short_16","alias_value":"5YHUKVNJ2WSP5FKG","created_at":"2026-07-04T15:21:16Z"},{"alias_kind":"pith_short_8","alias_value":"5YHUKVNJ","created_at":"2026-07-04T15:21:16Z"}],"graph_snapshots":[{"event_id":"sha256:72aeca6dc45841b88afa261820ec2623fc37aac7fcb80cb533b0f0d5d72b3dbb","target":"graph","created_at":"2026-07-04T15:21:16Z","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/0706.1534/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct a spinfoam model for Yang-Mills theory coupled to quantum gravity in three dimensional riemannian spacetime. We define the partition function of the coupled system as a power series in g_0^2 G that can be evaluated order by order using grasping rules and the recoupling theory. With respect to previous attempts in the literature, this model assigns the dynamical variables of gravity and Yang-Mills theory to the same simplices of the spinfoam, and it thus provides transition amplitudes for the spin network states of the canonical theory. For SU(2) Yang-Mills theory we show explicitl","authors_text":"Simone Speziale","cross_cats":["hep-th"],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2007-06-11T19:51:04Z","title":"Coupling gauge theory to spinfoam 3d quantum gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0706.1534","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:aacf0e871307e10ba1bb207e4f56b4c096e428981b59789b907fd07476abb1d7","target":"record","created_at":"2026-07-04T15:21:16Z","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":"e46954fab551ff6e05404f4c5f77ddb1af955c728e6c9e490ab6565b7af45e4c","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"2007-06-11T19:51:04Z","title_canon_sha256":"5f433d34d40a6896597305d9f2d1a8e01f3a0725125df3291010b8c12870af69"},"schema_version":"1.0","source":{"id":"0706.1534","kind":"arxiv","version":2}},"canonical_sha256":"ee0f4555a9d5a4fe9546c0a297247547e8181e18df7ce66ebd2b3d992395c259","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ee0f4555a9d5a4fe9546c0a297247547e8181e18df7ce66ebd2b3d992395c259","first_computed_at":"2026-07-04T15:21:16.102850Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:21:16.102850Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"x6ZPcmyQJ2rcBXUwW1UqEj53m6hazL/bfWhcBAqfwHjkc5oHj8pggrmN7y8nR4aoIyJbM3luTgAymTE2YIx6AQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:21:16.103270Z","signed_message":"canonical_sha256_bytes"},"source_id":"0706.1534","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aacf0e871307e10ba1bb207e4f56b4c096e428981b59789b907fd07476abb1d7","sha256:72aeca6dc45841b88afa261820ec2623fc37aac7fcb80cb533b0f0d5d72b3dbb"],"state_sha256":"bc9a82097e9c4b61396884959f99ac44a1d8c9de8da34186be74e2eaa418a795"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mkLMKrI4OuibshudTzJthKjycpb4IPMKyUwg3oSEd3oglS62NG04+8eUL9YgWMv3X05Qro1ji9bfk/YYokWhAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T15:35:05.483314Z","bundle_sha256":"b519b6ff2ab95d38e8682c6fae97de1474a3dc9df5deb24ece2934ffb34b0e42"}}