{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:MSDPQ65QJNCYM4JHMIMW6M34UV","short_pith_number":"pith:MSDPQ65Q","canonical_record":{"source":{"id":"1003.1847","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-03-09T11:18:21Z","cross_cats_sorted":[],"title_canon_sha256":"3427645a505d69f3108b77b9a530a0da38d9916ffb564c3ec67771656fccaf31","abstract_canon_sha256":"5a91c045148220b86452c545bcff261f70e8059be0aedb0588730b702d164357"},"schema_version":"1.0"},"canonical_sha256":"6486f87bb04b4586712762196f337ca5624af8a3bd2c433a0481a98aec1a470c","source":{"kind":"arxiv","id":"1003.1847","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.1847","created_at":"2026-05-18T02:08:36Z"},{"alias_kind":"arxiv_version","alias_value":"1003.1847v1","created_at":"2026-05-18T02:08:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.1847","created_at":"2026-05-18T02:08:36Z"},{"alias_kind":"pith_short_12","alias_value":"MSDPQ65QJNCY","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"MSDPQ65QJNCYM4JH","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"MSDPQ65Q","created_at":"2026-05-18T12:26:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:MSDPQ65QJNCYM4JHMIMW6M34UV","target":"record","payload":{"canonical_record":{"source":{"id":"1003.1847","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-03-09T11:18:21Z","cross_cats_sorted":[],"title_canon_sha256":"3427645a505d69f3108b77b9a530a0da38d9916ffb564c3ec67771656fccaf31","abstract_canon_sha256":"5a91c045148220b86452c545bcff261f70e8059be0aedb0588730b702d164357"},"schema_version":"1.0"},"canonical_sha256":"6486f87bb04b4586712762196f337ca5624af8a3bd2c433a0481a98aec1a470c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:08:36.047921Z","signature_b64":"tT5/ZPKtHc2qUd3PHT9fC5OreHoaBmRi+m4UyYyUVjF5jYlQljfDMeYAsJFrESTCA7tOS4wsCVIsJSTMl93hDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6486f87bb04b4586712762196f337ca5624af8a3bd2c433a0481a98aec1a470c","last_reissued_at":"2026-05-18T02:08:36.047256Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:08:36.047256Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1003.1847","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":"2026-05-18T02:08:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lOYzQ6Csnz5LwozlEJ9pidsADofJ/B6gUPQuGPq8f61RoueW2OyTLjuo4/ePvIELBmS32WyLWLrBUgezMM/XBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T19:22:56.624994Z"},"content_sha256":"1451250904707e3ec304df774e17db7a3a2a1fb5acc58e0a1b1c0c7040556527","schema_version":"1.0","event_id":"sha256:1451250904707e3ec304df774e17db7a3a2a1fb5acc58e0a1b1c0c7040556527"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:MSDPQ65QJNCYM4JHMIMW6M34UV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Observables in 3d spinfoam quantum gravity with fermions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Richard J. Dowdall, Winston J. Fairbairn","submitted_at":"2010-03-09T11:18:21Z","abstract_excerpt":"We study expectation values of observables in three-dimensional spinfoam quantum gravity coupled to Dirac fermions. We revisit the model introduced by one of the authors and extend it to the case of massless fermionic fields. We introduce observables, analyse their symmetries and the corresponding proper gauge fixing. The Berezin integral over the fermionic fields is performed and the fermionic observables are expanded in open paths and closed loops associated to pure quantum gravity observables. We obtain the vertex amplitudes for gauge-invariant observables, while the expectation values of g"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.1847","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":"2026-05-18T02:08:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nu4evuqI457q8FRfbnG4SpLOrhfZCI6qP4LRwi1mBCVEkOGFy+TfXHQ+JpBG/HnOUViw0Z4FpLHoUl5ILuQBBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T19:22:56.625740Z"},"content_sha256":"5b114803a19de1e56431e15719084711793c352681083b27e3ddcb0c447e6bcf","schema_version":"1.0","event_id":"sha256:5b114803a19de1e56431e15719084711793c352681083b27e3ddcb0c447e6bcf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MSDPQ65QJNCYM4JHMIMW6M34UV/bundle.json","state_url":"https://pith.science/pith/MSDPQ65QJNCYM4JHMIMW6M34UV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MSDPQ65QJNCYM4JHMIMW6M34UV/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":"2026-06-09T19:22:56Z","links":{"resolver":"https://pith.science/pith/MSDPQ65QJNCYM4JHMIMW6M34UV","bundle":"https://pith.science/pith/MSDPQ65QJNCYM4JHMIMW6M34UV/bundle.json","state":"https://pith.science/pith/MSDPQ65QJNCYM4JHMIMW6M34UV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MSDPQ65QJNCYM4JHMIMW6M34UV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:MSDPQ65QJNCYM4JHMIMW6M34UV","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":"5a91c045148220b86452c545bcff261f70e8059be0aedb0588730b702d164357","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-03-09T11:18:21Z","title_canon_sha256":"3427645a505d69f3108b77b9a530a0da38d9916ffb564c3ec67771656fccaf31"},"schema_version":"1.0","source":{"id":"1003.1847","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.1847","created_at":"2026-05-18T02:08:36Z"},{"alias_kind":"arxiv_version","alias_value":"1003.1847v1","created_at":"2026-05-18T02:08:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.1847","created_at":"2026-05-18T02:08:36Z"},{"alias_kind":"pith_short_12","alias_value":"MSDPQ65QJNCY","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"MSDPQ65QJNCYM4JH","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"MSDPQ65Q","created_at":"2026-05-18T12:26:10Z"}],"graph_snapshots":[{"event_id":"sha256:5b114803a19de1e56431e15719084711793c352681083b27e3ddcb0c447e6bcf","target":"graph","created_at":"2026-05-18T02:08:36Z","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":"We study expectation values of observables in three-dimensional spinfoam quantum gravity coupled to Dirac fermions. We revisit the model introduced by one of the authors and extend it to the case of massless fermionic fields. We introduce observables, analyse their symmetries and the corresponding proper gauge fixing. The Berezin integral over the fermionic fields is performed and the fermionic observables are expanded in open paths and closed loops associated to pure quantum gravity observables. We obtain the vertex amplitudes for gauge-invariant observables, while the expectation values of g","authors_text":"Richard J. Dowdall, Winston J. Fairbairn","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-03-09T11:18:21Z","title":"Observables in 3d spinfoam quantum gravity with fermions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.1847","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":"sha256:1451250904707e3ec304df774e17db7a3a2a1fb5acc58e0a1b1c0c7040556527","target":"record","created_at":"2026-05-18T02:08:36Z","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":"5a91c045148220b86452c545bcff261f70e8059be0aedb0588730b702d164357","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-03-09T11:18:21Z","title_canon_sha256":"3427645a505d69f3108b77b9a530a0da38d9916ffb564c3ec67771656fccaf31"},"schema_version":"1.0","source":{"id":"1003.1847","kind":"arxiv","version":1}},"canonical_sha256":"6486f87bb04b4586712762196f337ca5624af8a3bd2c433a0481a98aec1a470c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6486f87bb04b4586712762196f337ca5624af8a3bd2c433a0481a98aec1a470c","first_computed_at":"2026-05-18T02:08:36.047256Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:08:36.047256Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tT5/ZPKtHc2qUd3PHT9fC5OreHoaBmRi+m4UyYyUVjF5jYlQljfDMeYAsJFrESTCA7tOS4wsCVIsJSTMl93hDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:08:36.047921Z","signed_message":"canonical_sha256_bytes"},"source_id":"1003.1847","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1451250904707e3ec304df774e17db7a3a2a1fb5acc58e0a1b1c0c7040556527","sha256:5b114803a19de1e56431e15719084711793c352681083b27e3ddcb0c447e6bcf"],"state_sha256":"b9b54b7ab68baaf58c4a0c42e83a42be2bf0afd454fbbf962655eb6856e12b71"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qFIFu0HxiuzJPqh30HHitq4DsJAZgozx9iT/ZfvZ/g6fi06d8YlQ+1Gyb3Xu/ncoboUI0/AvhfC6fp95U4FbCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T19:22:56.630141Z","bundle_sha256":"93ff75df439c88c143083c076ea29c8d5fd12afe9bc23b53daed8f7e49c64a59"}}