{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:LN7AS7J4RJNAGS5NIIPJCWGII3","short_pith_number":"pith:LN7AS7J4","schema_version":"1.0","canonical_sha256":"5b7e097d3c8a5a034bad421e9158c846f233d5d4abbf68918305735009f73f73","source":{"kind":"arxiv","id":"2212.00933","version":1},"attestation_state":"computed","paper":{"title":"Fermions in Loop Quantum Gravity and Resolution of Doubling Problem","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-lat","hep-th"],"primary_cat":"gr-qc","authors_text":"Cong Zhang, Hongguang Liu, Muxin Han","submitted_at":"2022-12-02T02:30:13Z","abstract_excerpt":"The fermion propagator is derived in detail from the model of fermion coupled to loop quantum gravity. As an ingredient of the propagator, the vacuum state is defined as the ground state of some effective fermion Hamiltonian under the background geometry given by a coherent state resembling the classical Minkowski spacetime. Moreover, as a critical feature of loop quantum gravity, the superposition over graphs is employed to define the vacuum state. It turns out that the graph superposition leads to the propagator being the average of the propagators of the lattice field theory over various gr"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2212.00933","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2022-12-02T02:30:13Z","cross_cats_sorted":["hep-lat","hep-th"],"title_canon_sha256":"83ae9a12e23018f679bd8a10d8124c6c63ea5dad375a2e63677f82994dee3c71","abstract_canon_sha256":"85d4280ba786bc12ac5c15adef43075b71e9d7dbc9db8084caabec84dc809489"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:11:33.311732Z","signature_b64":"1mcUZnTL285nxjXCofC3bM1TitBamiAlZZSqHTdjRYdfg4VQk62xvRkcfS50g+Vfl5/8thd+RDDoN7vPSoE5Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5b7e097d3c8a5a034bad421e9158c846f233d5d4abbf68918305735009f73f73","last_reissued_at":"2026-07-05T07:11:33.311193Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:11:33.311193Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fermions in Loop Quantum Gravity and Resolution of Doubling Problem","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-lat","hep-th"],"primary_cat":"gr-qc","authors_text":"Cong Zhang, Hongguang Liu, Muxin Han","submitted_at":"2022-12-02T02:30:13Z","abstract_excerpt":"The fermion propagator is derived in detail from the model of fermion coupled to loop quantum gravity. As an ingredient of the propagator, the vacuum state is defined as the ground state of some effective fermion Hamiltonian under the background geometry given by a coherent state resembling the classical Minkowski spacetime. Moreover, as a critical feature of loop quantum gravity, the superposition over graphs is employed to define the vacuum state. It turns out that the graph superposition leads to the propagator being the average of the propagators of the lattice field theory over various gr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.00933","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/2212.00933/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2212.00933","created_at":"2026-07-05T07:11:33.311261+00:00"},{"alias_kind":"arxiv_version","alias_value":"2212.00933v1","created_at":"2026-07-05T07:11:33.311261+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.00933","created_at":"2026-07-05T07:11:33.311261+00:00"},{"alias_kind":"pith_short_12","alias_value":"LN7AS7J4RJNA","created_at":"2026-07-05T07:11:33.311261+00:00"},{"alias_kind":"pith_short_16","alias_value":"LN7AS7J4RJNAGS5N","created_at":"2026-07-05T07:11:33.311261+00:00"},{"alias_kind":"pith_short_8","alias_value":"LN7AS7J4","created_at":"2026-07-05T07:11:33.311261+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/LN7AS7J4RJNAGS5NIIPJCWGII3","json":"https://pith.science/pith/LN7AS7J4RJNAGS5NIIPJCWGII3.json","graph_json":"https://pith.science/api/pith-number/LN7AS7J4RJNAGS5NIIPJCWGII3/graph.json","events_json":"https://pith.science/api/pith-number/LN7AS7J4RJNAGS5NIIPJCWGII3/events.json","paper":"https://pith.science/paper/LN7AS7J4"},"agent_actions":{"view_html":"https://pith.science/pith/LN7AS7J4RJNAGS5NIIPJCWGII3","download_json":"https://pith.science/pith/LN7AS7J4RJNAGS5NIIPJCWGII3.json","view_paper":"https://pith.science/paper/LN7AS7J4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2212.00933&json=true","fetch_graph":"https://pith.science/api/pith-number/LN7AS7J4RJNAGS5NIIPJCWGII3/graph.json","fetch_events":"https://pith.science/api/pith-number/LN7AS7J4RJNAGS5NIIPJCWGII3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LN7AS7J4RJNAGS5NIIPJCWGII3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LN7AS7J4RJNAGS5NIIPJCWGII3/action/storage_attestation","attest_author":"https://pith.science/pith/LN7AS7J4RJNAGS5NIIPJCWGII3/action/author_attestation","sign_citation":"https://pith.science/pith/LN7AS7J4RJNAGS5NIIPJCWGII3/action/citation_signature","submit_replication":"https://pith.science/pith/LN7AS7J4RJNAGS5NIIPJCWGII3/action/replication_record"}},"created_at":"2026-07-05T07:11:33.311261+00:00","updated_at":"2026-07-05T07:11:33.311261+00:00"}