{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:L7O3LJUR7WKC2LDFSK4FC2HYJR","short_pith_number":"pith:L7O3LJUR","canonical_record":{"source":{"id":"gr-qc/0609040","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2006-09-12T12:15:59Z","cross_cats_sorted":[],"title_canon_sha256":"753d64328e88c23e6f1cb5781ca835bcab2e7295c8c86633daa1870394853f98","abstract_canon_sha256":"7bac90a001e428e8d03fdc7400714e82b1ced5d661016490be75394c2ef308f9"},"schema_version":"1.0"},"canonical_sha256":"5fddb5a691fd942d2c6592b85168f84c7d395183ae12f32ce6486c6cead8ffa9","source":{"kind":"arxiv","id":"gr-qc/0609040","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0609040","created_at":"2026-07-04T15:22:23Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0609040v2","created_at":"2026-07-04T15:22:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0609040","created_at":"2026-07-04T15:22:23Z"},{"alias_kind":"pith_short_12","alias_value":"L7O3LJUR7WKC","created_at":"2026-07-04T15:22:23Z"},{"alias_kind":"pith_short_16","alias_value":"L7O3LJUR7WKC2LDF","created_at":"2026-07-04T15:22:23Z"},{"alias_kind":"pith_short_8","alias_value":"L7O3LJUR","created_at":"2026-07-04T15:22:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:L7O3LJUR7WKC2LDFSK4FC2HYJR","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/0609040","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2006-09-12T12:15:59Z","cross_cats_sorted":[],"title_canon_sha256":"753d64328e88c23e6f1cb5781ca835bcab2e7295c8c86633daa1870394853f98","abstract_canon_sha256":"7bac90a001e428e8d03fdc7400714e82b1ced5d661016490be75394c2ef308f9"},"schema_version":"1.0"},"canonical_sha256":"5fddb5a691fd942d2c6592b85168f84c7d395183ae12f32ce6486c6cead8ffa9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:22:23.379101Z","signature_b64":"7hwS/bUMUuUbBGjcOtSeGxVyZA4QXwPdkP/zfFotuQ/UA4qzzq8Nq2fOi3XbRmTPydp4SPkIi5e2L/GM+JbDDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5fddb5a691fd942d2c6592b85168f84c7d395183ae12f32ce6486c6cead8ffa9","last_reissued_at":"2026-07-04T15:22:23.378668Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:22:23.378668Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/0609040","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":"2026-07-04T15:22:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+wBXHpCiC/HgJN1anzYEQGSY6mGzkMPRJEv8UmoXo/w1ShMDoWuE1aDBCUBLI83CXvaEaeBmVh/12k3tZ+k4BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T14:26:51.371684Z"},"content_sha256":"3e93049a91a1dcceb56248a27658f0930738ea5ad63252054c3e858d3689c034","schema_version":"1.0","event_id":"sha256:3e93049a91a1dcceb56248a27658f0930738ea5ad63252054c3e858d3689c034"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:L7O3LJUR7WKC2LDFSK4FC2HYJR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fermions in three-dimensional spinfoam quantum gravity","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Winston Fairbairn (CPT)","submitted_at":"2006-09-12T12:15:59Z","abstract_excerpt":"We study the coupling of massive fermions to the quantum mechanical dynamics of spacetime emerging from the spinfoam approach in three dimensions. We first recall the classical theory before constructing a spinfoam model of quantum gravity coupled to spinors. The technique used is based on a finite expansion in inverse fermion masses leading to the computation of the vacuum to vacuum transition amplitude of the theory. The path integral is derived as a sum over closed fermionic loops wrapping around the spinfoam. The effects of quantum torsion are realised as a modification of the intertwining"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0609040","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/gr-qc/0609040/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":"2026-07-04T15:22:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2MdJkKWDD1Q7oDt5IgDxsF1VxDi4eVwjr7zRkd7UpNke9ZstNiEcI2VYyaqY4Rb29MlcEoEPdJdCjkDM6F7eCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T14:26:51.372043Z"},"content_sha256":"e5abc5e150573ec8316ca73037e648d7c73cc2b6e4ee6d36ea9102e1f6d9f604","schema_version":"1.0","event_id":"sha256:e5abc5e150573ec8316ca73037e648d7c73cc2b6e4ee6d36ea9102e1f6d9f604"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/L7O3LJUR7WKC2LDFSK4FC2HYJR/bundle.json","state_url":"https://pith.science/pith/L7O3LJUR7WKC2LDFSK4FC2HYJR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/L7O3LJUR7WKC2LDFSK4FC2HYJR/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":"2026-08-14T14:26:51Z","links":{"resolver":"https://pith.science/pith/L7O3LJUR7WKC2LDFSK4FC2HYJR","bundle":"https://pith.science/pith/L7O3LJUR7WKC2LDFSK4FC2HYJR/bundle.json","state":"https://pith.science/pith/L7O3LJUR7WKC2LDFSK4FC2HYJR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/L7O3LJUR7WKC2LDFSK4FC2HYJR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:L7O3LJUR7WKC2LDFSK4FC2HYJR","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":"7bac90a001e428e8d03fdc7400714e82b1ced5d661016490be75394c2ef308f9","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2006-09-12T12:15:59Z","title_canon_sha256":"753d64328e88c23e6f1cb5781ca835bcab2e7295c8c86633daa1870394853f98"},"schema_version":"1.0","source":{"id":"gr-qc/0609040","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0609040","created_at":"2026-07-04T15:22:23Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0609040v2","created_at":"2026-07-04T15:22:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0609040","created_at":"2026-07-04T15:22:23Z"},{"alias_kind":"pith_short_12","alias_value":"L7O3LJUR7WKC","created_at":"2026-07-04T15:22:23Z"},{"alias_kind":"pith_short_16","alias_value":"L7O3LJUR7WKC2LDF","created_at":"2026-07-04T15:22:23Z"},{"alias_kind":"pith_short_8","alias_value":"L7O3LJUR","created_at":"2026-07-04T15:22:23Z"}],"graph_snapshots":[{"event_id":"sha256:e5abc5e150573ec8316ca73037e648d7c73cc2b6e4ee6d36ea9102e1f6d9f604","target":"graph","created_at":"2026-07-04T15:22:23Z","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/0609040/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the coupling of massive fermions to the quantum mechanical dynamics of spacetime emerging from the spinfoam approach in three dimensions. We first recall the classical theory before constructing a spinfoam model of quantum gravity coupled to spinors. The technique used is based on a finite expansion in inverse fermion masses leading to the computation of the vacuum to vacuum transition amplitude of the theory. The path integral is derived as a sum over closed fermionic loops wrapping around the spinfoam. The effects of quantum torsion are realised as a modification of the intertwining","authors_text":"Winston Fairbairn (CPT)","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2006-09-12T12:15:59Z","title":"Fermions in three-dimensional spinfoam quantum gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0609040","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":"sha256:3e93049a91a1dcceb56248a27658f0930738ea5ad63252054c3e858d3689c034","target":"record","created_at":"2026-07-04T15:22:23Z","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":"7bac90a001e428e8d03fdc7400714e82b1ced5d661016490be75394c2ef308f9","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2006-09-12T12:15:59Z","title_canon_sha256":"753d64328e88c23e6f1cb5781ca835bcab2e7295c8c86633daa1870394853f98"},"schema_version":"1.0","source":{"id":"gr-qc/0609040","kind":"arxiv","version":2}},"canonical_sha256":"5fddb5a691fd942d2c6592b85168f84c7d395183ae12f32ce6486c6cead8ffa9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5fddb5a691fd942d2c6592b85168f84c7d395183ae12f32ce6486c6cead8ffa9","first_computed_at":"2026-07-04T15:22:23.378668Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:22:23.378668Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7hwS/bUMUuUbBGjcOtSeGxVyZA4QXwPdkP/zfFotuQ/UA4qzzq8Nq2fOi3XbRmTPydp4SPkIi5e2L/GM+JbDDA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:22:23.379101Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0609040","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3e93049a91a1dcceb56248a27658f0930738ea5ad63252054c3e858d3689c034","sha256:e5abc5e150573ec8316ca73037e648d7c73cc2b6e4ee6d36ea9102e1f6d9f604"],"state_sha256":"c1d812400d28550ab945221c566719f07e00d3574834dee9a65b7ba78102ab3b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cr37ObYgjyTCt+Inu2gueFufkfCRa9n5mSK9bbbgjvZ9bIhRnlYS3iS3ZNgSpQ+mITsASCM27wYa4JsnaC9XAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T14:26:51.374626Z","bundle_sha256":"4d45da53d795f4173c16f7426c44e27c7eabe8bd3e6381c7c771704a88ca3b90"}}