{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:IPMJ436L5FRKADK3YLL7SGNVAF","short_pith_number":"pith:IPMJ436L","schema_version":"1.0","canonical_sha256":"43d89e6fcbe962a00d5bc2d7f919b501656bf6d9f95c7146cc55a541649452e4","source":{"kind":"arxiv","id":"2505.15941","version":1},"attestation_state":"computed","paper":{"title":"The Hydrodynamic Approach to Quantum Gravity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"T. Banks","submitted_at":"2025-05-21T18:52:45Z","abstract_excerpt":"Several papers from the mid to late 1990s suggest that Einstein's equations should be thought of as the hydrodynamic equations of a special class of quantum systems. A classical solution defines subsystems by dividing space-time up into CAUSAL DIAMONDS and Einstein's equations are the hydrodynamics of a system that assigns a density matrix to each diamond whose modular Hamiltonian K has expectation value and fluctuation both given by A/4G. A is the maximal d-2 volume on the boundary of the diamond and G is Newton's constant. These properties define the EMPTY DIAMOND STATE, the analog of the qu"},"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":"2505.15941","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-05-21T18:52:45Z","cross_cats_sorted":[],"title_canon_sha256":"5a1c7eaff1a41a2e7d9d6deebee180cc90d639a388e41598b62196fa60deb3f0","abstract_canon_sha256":"5ae4408a62f49d5f01c6e0bbb06475ed3becd7dff68d58794e28eb76b0c6c6c6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:07:27.603414Z","signature_b64":"P+KXhCubTdif0khuHhhvguNion11sMHut31XCZ+7uBDSRYwUrCtdt2XXvwgHNCeogDxcWW8too7nFVHChEZSAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"43d89e6fcbe962a00d5bc2d7f919b501656bf6d9f95c7146cc55a541649452e4","last_reissued_at":"2026-07-05T11:07:27.602887Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:07:27.602887Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Hydrodynamic Approach to Quantum Gravity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"T. Banks","submitted_at":"2025-05-21T18:52:45Z","abstract_excerpt":"Several papers from the mid to late 1990s suggest that Einstein's equations should be thought of as the hydrodynamic equations of a special class of quantum systems. A classical solution defines subsystems by dividing space-time up into CAUSAL DIAMONDS and Einstein's equations are the hydrodynamics of a system that assigns a density matrix to each diamond whose modular Hamiltonian K has expectation value and fluctuation both given by A/4G. A is the maximal d-2 volume on the boundary of the diamond and G is Newton's constant. These properties define the EMPTY DIAMOND STATE, the analog of the qu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.15941","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/2505.15941/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":"2505.15941","created_at":"2026-07-05T11:07:27.602951+00:00"},{"alias_kind":"arxiv_version","alias_value":"2505.15941v1","created_at":"2026-07-05T11:07:27.602951+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.15941","created_at":"2026-07-05T11:07:27.602951+00:00"},{"alias_kind":"pith_short_12","alias_value":"IPMJ436L5FRK","created_at":"2026-07-05T11:07:27.602951+00:00"},{"alias_kind":"pith_short_16","alias_value":"IPMJ436L5FRKADK3","created_at":"2026-07-05T11:07:27.602951+00:00"},{"alias_kind":"pith_short_8","alias_value":"IPMJ436L","created_at":"2026-07-05T11:07:27.602951+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.28243","citing_title":"Quantum Fluctuations of the Black Hole Horizon","ref_index":17,"is_internal_anchor":false},{"citing_arxiv_id":"2602.11806","citing_title":"GR from RG: Gravity Is Induced From Renormalization Group Flow In The Infrared","ref_index":32,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IPMJ436L5FRKADK3YLL7SGNVAF","json":"https://pith.science/pith/IPMJ436L5FRKADK3YLL7SGNVAF.json","graph_json":"https://pith.science/api/pith-number/IPMJ436L5FRKADK3YLL7SGNVAF/graph.json","events_json":"https://pith.science/api/pith-number/IPMJ436L5FRKADK3YLL7SGNVAF/events.json","paper":"https://pith.science/paper/IPMJ436L"},"agent_actions":{"view_html":"https://pith.science/pith/IPMJ436L5FRKADK3YLL7SGNVAF","download_json":"https://pith.science/pith/IPMJ436L5FRKADK3YLL7SGNVAF.json","view_paper":"https://pith.science/paper/IPMJ436L","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2505.15941&json=true","fetch_graph":"https://pith.science/api/pith-number/IPMJ436L5FRKADK3YLL7SGNVAF/graph.json","fetch_events":"https://pith.science/api/pith-number/IPMJ436L5FRKADK3YLL7SGNVAF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IPMJ436L5FRKADK3YLL7SGNVAF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IPMJ436L5FRKADK3YLL7SGNVAF/action/storage_attestation","attest_author":"https://pith.science/pith/IPMJ436L5FRKADK3YLL7SGNVAF/action/author_attestation","sign_citation":"https://pith.science/pith/IPMJ436L5FRKADK3YLL7SGNVAF/action/citation_signature","submit_replication":"https://pith.science/pith/IPMJ436L5FRKADK3YLL7SGNVAF/action/replication_record"}},"created_at":"2026-07-05T11:07:27.602951+00:00","updated_at":"2026-07-05T11:07:27.602951+00:00"}