{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:53YYVK4IYWEITMIV57YFGZNKUG","short_pith_number":"pith:53YYVK4I","schema_version":"1.0","canonical_sha256":"eef18aab88c58889b115eff05365aaa183eb6c7f1e0ee03443af41a2d753503e","source":{"kind":"arxiv","id":"1907.01402","version":1},"attestation_state":"computed","paper":{"title":"Gaussian Random Matrix Ensembles in Phase Space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Maciej M. Duras","submitted_at":"2019-07-01T00:52:31Z","abstract_excerpt":"A new class of Random Matrix Ensembles is introduced. The Gaussian orthogonal, unitary, and symplectic ensembles GOE, GUE, and GSE, of random matrices are analogous to the classical Gibbs ensemble governed by Boltzmann's distribution in the coordinate space. The proposed new class of Random Matrix ensembles is an extension of the above Gaussian ensembles and it is analogous to the canonical Gibbs ensemble governed by Maxwell-Boltzmann's distribution in phase space. The thermodynamical magnitudes of partition function, intrinsic energy, free energy of Helmholtz, free energy of Gibbs, enthalpy, "},"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":"1907.01402","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-07-01T00:52:31Z","cross_cats_sorted":[],"title_canon_sha256":"8b596b986c2eae891c943b743bb4ea830ffbfae75da1b143079ef8a2eaffab8c","abstract_canon_sha256":"adb7b002cdd979b1db7fd70ace69a3764144764bfe174457cdda355f5892110a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:41:40.495176Z","signature_b64":"tYZqDNP/0YlFrFCiiDc2UmZl61W0I5s7s2ZjaENe0G4Lf3GFzhT7fR4FH6UN1UbvSawQB9fpijZkIWAwC2qFAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eef18aab88c58889b115eff05365aaa183eb6c7f1e0ee03443af41a2d753503e","last_reissued_at":"2026-05-17T23:41:40.494659Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:41:40.494659Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Gaussian Random Matrix Ensembles in Phase Space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Maciej M. Duras","submitted_at":"2019-07-01T00:52:31Z","abstract_excerpt":"A new class of Random Matrix Ensembles is introduced. The Gaussian orthogonal, unitary, and symplectic ensembles GOE, GUE, and GSE, of random matrices are analogous to the classical Gibbs ensemble governed by Boltzmann's distribution in the coordinate space. The proposed new class of Random Matrix ensembles is an extension of the above Gaussian ensembles and it is analogous to the canonical Gibbs ensemble governed by Maxwell-Boltzmann's distribution in phase space. The thermodynamical magnitudes of partition function, intrinsic energy, free energy of Helmholtz, free energy of Gibbs, enthalpy, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.01402","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":""},"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":"1907.01402","created_at":"2026-05-17T23:41:40.494728+00:00"},{"alias_kind":"arxiv_version","alias_value":"1907.01402v1","created_at":"2026-05-17T23:41:40.494728+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.01402","created_at":"2026-05-17T23:41:40.494728+00:00"},{"alias_kind":"pith_short_12","alias_value":"53YYVK4IYWEI","created_at":"2026-05-18T12:33:10.108867+00:00"},{"alias_kind":"pith_short_16","alias_value":"53YYVK4IYWEITMIV","created_at":"2026-05-18T12:33:10.108867+00:00"},{"alias_kind":"pith_short_8","alias_value":"53YYVK4I","created_at":"2026-05-18T12:33:10.108867+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/53YYVK4IYWEITMIV57YFGZNKUG","json":"https://pith.science/pith/53YYVK4IYWEITMIV57YFGZNKUG.json","graph_json":"https://pith.science/api/pith-number/53YYVK4IYWEITMIV57YFGZNKUG/graph.json","events_json":"https://pith.science/api/pith-number/53YYVK4IYWEITMIV57YFGZNKUG/events.json","paper":"https://pith.science/paper/53YYVK4I"},"agent_actions":{"view_html":"https://pith.science/pith/53YYVK4IYWEITMIV57YFGZNKUG","download_json":"https://pith.science/pith/53YYVK4IYWEITMIV57YFGZNKUG.json","view_paper":"https://pith.science/paper/53YYVK4I","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1907.01402&json=true","fetch_graph":"https://pith.science/api/pith-number/53YYVK4IYWEITMIV57YFGZNKUG/graph.json","fetch_events":"https://pith.science/api/pith-number/53YYVK4IYWEITMIV57YFGZNKUG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/53YYVK4IYWEITMIV57YFGZNKUG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/53YYVK4IYWEITMIV57YFGZNKUG/action/storage_attestation","attest_author":"https://pith.science/pith/53YYVK4IYWEITMIV57YFGZNKUG/action/author_attestation","sign_citation":"https://pith.science/pith/53YYVK4IYWEITMIV57YFGZNKUG/action/citation_signature","submit_replication":"https://pith.science/pith/53YYVK4IYWEITMIV57YFGZNKUG/action/replication_record"}},"created_at":"2026-05-17T23:41:40.494728+00:00","updated_at":"2026-05-17T23:41:40.494728+00:00"}