{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:DRMRHJRC37ZZ2LP3V2JQXXX57G","short_pith_number":"pith:DRMRHJRC","schema_version":"1.0","canonical_sha256":"1c5913a622dff39d2dfbae930bdefdf9be83d24458a9ae793df67ceca9c566bc","source":{"kind":"arxiv","id":"2106.09048","version":1},"attestation_state":"computed","paper":{"title":"Quantum Gravity Microstates from Fredholm Determinants","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Clifford V. Johnson","submitted_at":"2021-06-16T18:00:06Z","abstract_excerpt":"A large class of two dimensional quantum gravity theories of Jackiw-Teitelboim form have a description in terms of random matrix models. Such models, treated fully non-perturbatively, can give an explicit and tractable description of the underlying ``microstate'' degrees of freedom. They play a prominent role in regimes where the smooth geometrical picture of the physics is inadequate. This is shown using a natural tool for extracting the detailed microstate physics, a Fredholm determinant ${\\rm det}(\\mathbf{1}{-}\\mathbf{ K})$. Its associated kernel $K(E,E^\\prime)$ can be defined explicitly fo"},"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":"2106.09048","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-06-16T18:00:06Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"88171d306a0c77f0573f38d18a28ae0f6a24ce56299c5331cca82ba3780b1257","abstract_canon_sha256":"13b7fc2a98609a98214ec938d82ef58172078f0d725eb3b3ee9d6bd939884c69"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:30:12.748839Z","signature_b64":"9NVb1fvxid8WvP8qXC18QVBW3NoXl+Qaky+Cdm7ZojahcWsOXtR30pBRif3lYlaIY1K62Nfv6B8FMv3ACCKABg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1c5913a622dff39d2dfbae930bdefdf9be83d24458a9ae793df67ceca9c566bc","last_reissued_at":"2026-07-05T03:30:12.748433Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:30:12.748433Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum Gravity Microstates from Fredholm Determinants","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Clifford V. Johnson","submitted_at":"2021-06-16T18:00:06Z","abstract_excerpt":"A large class of two dimensional quantum gravity theories of Jackiw-Teitelboim form have a description in terms of random matrix models. Such models, treated fully non-perturbatively, can give an explicit and tractable description of the underlying ``microstate'' degrees of freedom. They play a prominent role in regimes where the smooth geometrical picture of the physics is inadequate. This is shown using a natural tool for extracting the detailed microstate physics, a Fredholm determinant ${\\rm det}(\\mathbf{1}{-}\\mathbf{ K})$. Its associated kernel $K(E,E^\\prime)$ can be defined explicitly fo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2106.09048","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/2106.09048/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":"2106.09048","created_at":"2026-07-05T03:30:12.748482+00:00"},{"alias_kind":"arxiv_version","alias_value":"2106.09048v1","created_at":"2026-07-05T03:30:12.748482+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2106.09048","created_at":"2026-07-05T03:30:12.748482+00:00"},{"alias_kind":"pith_short_12","alias_value":"DRMRHJRC37ZZ","created_at":"2026-07-05T03:30:12.748482+00:00"},{"alias_kind":"pith_short_16","alias_value":"DRMRHJRC37ZZ2LP3","created_at":"2026-07-05T03:30:12.748482+00:00"},{"alias_kind":"pith_short_8","alias_value":"DRMRHJRC","created_at":"2026-07-05T03:30:12.748482+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2601.20954","citing_title":"Spectral Form Factor of Gapped Random Matrix Systems","ref_index":91,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/DRMRHJRC37ZZ2LP3V2JQXXX57G","json":"https://pith.science/pith/DRMRHJRC37ZZ2LP3V2JQXXX57G.json","graph_json":"https://pith.science/api/pith-number/DRMRHJRC37ZZ2LP3V2JQXXX57G/graph.json","events_json":"https://pith.science/api/pith-number/DRMRHJRC37ZZ2LP3V2JQXXX57G/events.json","paper":"https://pith.science/paper/DRMRHJRC"},"agent_actions":{"view_html":"https://pith.science/pith/DRMRHJRC37ZZ2LP3V2JQXXX57G","download_json":"https://pith.science/pith/DRMRHJRC37ZZ2LP3V2JQXXX57G.json","view_paper":"https://pith.science/paper/DRMRHJRC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2106.09048&json=true","fetch_graph":"https://pith.science/api/pith-number/DRMRHJRC37ZZ2LP3V2JQXXX57G/graph.json","fetch_events":"https://pith.science/api/pith-number/DRMRHJRC37ZZ2LP3V2JQXXX57G/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DRMRHJRC37ZZ2LP3V2JQXXX57G/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DRMRHJRC37ZZ2LP3V2JQXXX57G/action/storage_attestation","attest_author":"https://pith.science/pith/DRMRHJRC37ZZ2LP3V2JQXXX57G/action/author_attestation","sign_citation":"https://pith.science/pith/DRMRHJRC37ZZ2LP3V2JQXXX57G/action/citation_signature","submit_replication":"https://pith.science/pith/DRMRHJRC37ZZ2LP3V2JQXXX57G/action/replication_record"}},"created_at":"2026-07-05T03:30:12.748482+00:00","updated_at":"2026-07-05T03:30:12.748482+00:00"}