{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:BBGADSWBEJO76V3WJC3F3FDUE6","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":"193f209c88e5c977fb535b0bd54df46040e945b9e9ffdc2f255a295c12b99150","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-02-07T17:15:39Z","title_canon_sha256":"ffe4686cc431d06d80e03b5e9aa948046634d8c9e97398c520bc98c467bced98"},"schema_version":"1.0","source":{"id":"2302.03612","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2302.03612","created_at":"2026-07-05T09:21:35Z"},{"alias_kind":"arxiv_version","alias_value":"2302.03612v1","created_at":"2026-07-05T09:21:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.03612","created_at":"2026-07-05T09:21:35Z"},{"alias_kind":"pith_short_12","alias_value":"BBGADSWBEJO7","created_at":"2026-07-05T09:21:35Z"},{"alias_kind":"pith_short_16","alias_value":"BBGADSWBEJO76V3W","created_at":"2026-07-05T09:21:35Z"},{"alias_kind":"pith_short_8","alias_value":"BBGADSWB","created_at":"2026-07-05T09:21:35Z"}],"graph_snapshots":[{"event_id":"sha256:126dcdb813cb0bca0a0fd99edd1ee7725ad49cafdc478e1fd6e140ddf7160d64","target":"graph","created_at":"2026-07-05T09:21:35Z","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/2302.03612/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Loop quantum gravity (LQG) is a quantization program for gravity based on the principles of QFT and general covariance of general relativity. Quantum states of LQG describe gravitational excitations based on graphs embedded in a spatial slice of spacetime. We show that, under certain assumptions on the class of diffeomorphisms, the space of diffeomorphism invariant states carries a Fock space structure. The role of one-particle excitations for this structure is played by the diffeomorphism invariant states based on graphs with a single (linked) component. This means, however, that a lot of the","authors_text":"Hanno Sahlmann, Waleed Sherif","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-02-07T17:15:39Z","title":"A Fock space structure for the diffeomorphism invariant Hilbert space of loop quantum gravity and its applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.03612","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:f6de75f3d31f978eb22e31c3b5167c3ed276859c9b387c2e6c36cf82ae259ca7","target":"record","created_at":"2026-07-05T09:21:35Z","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":"193f209c88e5c977fb535b0bd54df46040e945b9e9ffdc2f255a295c12b99150","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-02-07T17:15:39Z","title_canon_sha256":"ffe4686cc431d06d80e03b5e9aa948046634d8c9e97398c520bc98c467bced98"},"schema_version":"1.0","source":{"id":"2302.03612","kind":"arxiv","version":1}},"canonical_sha256":"084c01cac1225dff577648b65d947427ab2760fd1f76ccd6fec76dca58b06c8b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"084c01cac1225dff577648b65d947427ab2760fd1f76ccd6fec76dca58b06c8b","first_computed_at":"2026-07-05T09:21:35.800426Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:21:35.800426Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kyZ0pqFbMPYjx1RYAIUC9e3DPEKNgzjrVnBbba4kdG8ePRhY1nSkMxfTnZM+SLJnJ/Xx9gsM25fAjNcUnhaHAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:21:35.800795Z","signed_message":"canonical_sha256_bytes"},"source_id":"2302.03612","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f6de75f3d31f978eb22e31c3b5167c3ed276859c9b387c2e6c36cf82ae259ca7","sha256:126dcdb813cb0bca0a0fd99edd1ee7725ad49cafdc478e1fd6e140ddf7160d64"],"state_sha256":"e4723ba2860d03da52a9769d8204e0776e7481a48b0c64c1b13d88745e92c419"}