{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:53YYVK4IYWEITMIV57YFGZNKUG","short_pith_number":"pith:53YYVK4I","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"},"canonical_sha256":"eef18aab88c58889b115eff05365aaa183eb6c7f1e0ee03443af41a2d753503e","source":{"kind":"arxiv","id":"1907.01402","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.01402","created_at":"2026-05-17T23:41:40Z"},{"alias_kind":"arxiv_version","alias_value":"1907.01402v1","created_at":"2026-05-17T23:41:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.01402","created_at":"2026-05-17T23:41:40Z"},{"alias_kind":"pith_short_12","alias_value":"53YYVK4IYWEI","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_16","alias_value":"53YYVK4IYWEITMIV","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_8","alias_value":"53YYVK4I","created_at":"2026-05-18T12:33:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:53YYVK4IYWEITMIV57YFGZNKUG","target":"record","payload":{"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"},"canonical_sha256":"eef18aab88c58889b115eff05365aaa183eb6c7f1e0ee03443af41a2d753503e","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"},"source_kind":"arxiv","source_id":"1907.01402","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:41:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L/w43tq3sg8BY6eJkqeuIFPxSHy/w12ZFC7FgHdsMoKKoJhTHuAkJLVigpIcVVfTIlQG7nGnSpwhlyUtB7yBCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T10:02:43.959171Z"},"content_sha256":"ecfa03c755cb8cc49ad092e079737ccaab986bbeb25337ebe4c3758dc8a05d16","schema_version":"1.0","event_id":"sha256:ecfa03c755cb8cc49ad092e079737ccaab986bbeb25337ebe4c3758dc8a05d16"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:53YYVK4IYWEITMIV57YFGZNKUG","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:41:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lm1RKUhoUZiavOTECONdVYBPDiciDe8PSCF80h6X8FiOQiskbRdRJm+lFO569ZKbEUvE7HprBb46Q4B0crjaAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T10:02:43.959530Z"},"content_sha256":"1810e0dd4f90379a78fd068a180807f89b6fb191ca7862481c7da2a33f79838e","schema_version":"1.0","event_id":"sha256:1810e0dd4f90379a78fd068a180807f89b6fb191ca7862481c7da2a33f79838e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/53YYVK4IYWEITMIV57YFGZNKUG/bundle.json","state_url":"https://pith.science/pith/53YYVK4IYWEITMIV57YFGZNKUG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/53YYVK4IYWEITMIV57YFGZNKUG/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-27T10:02:43Z","links":{"resolver":"https://pith.science/pith/53YYVK4IYWEITMIV57YFGZNKUG","bundle":"https://pith.science/pith/53YYVK4IYWEITMIV57YFGZNKUG/bundle.json","state":"https://pith.science/pith/53YYVK4IYWEITMIV57YFGZNKUG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/53YYVK4IYWEITMIV57YFGZNKUG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:53YYVK4IYWEITMIV57YFGZNKUG","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":"adb7b002cdd979b1db7fd70ace69a3764144764bfe174457cdda355f5892110a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-07-01T00:52:31Z","title_canon_sha256":"8b596b986c2eae891c943b743bb4ea830ffbfae75da1b143079ef8a2eaffab8c"},"schema_version":"1.0","source":{"id":"1907.01402","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.01402","created_at":"2026-05-17T23:41:40Z"},{"alias_kind":"arxiv_version","alias_value":"1907.01402v1","created_at":"2026-05-17T23:41:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.01402","created_at":"2026-05-17T23:41:40Z"},{"alias_kind":"pith_short_12","alias_value":"53YYVK4IYWEI","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_16","alias_value":"53YYVK4IYWEITMIV","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_8","alias_value":"53YYVK4I","created_at":"2026-05-18T12:33:10Z"}],"graph_snapshots":[{"event_id":"sha256:1810e0dd4f90379a78fd068a180807f89b6fb191ca7862481c7da2a33f79838e","target":"graph","created_at":"2026-05-17T23:41:40Z","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"},"paper":{"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, ","authors_text":"Maciej M. Duras","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-07-01T00:52:31Z","title":"Gaussian Random Matrix Ensembles in Phase Space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.01402","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:ecfa03c755cb8cc49ad092e079737ccaab986bbeb25337ebe4c3758dc8a05d16","target":"record","created_at":"2026-05-17T23:41:40Z","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":"adb7b002cdd979b1db7fd70ace69a3764144764bfe174457cdda355f5892110a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-07-01T00:52:31Z","title_canon_sha256":"8b596b986c2eae891c943b743bb4ea830ffbfae75da1b143079ef8a2eaffab8c"},"schema_version":"1.0","source":{"id":"1907.01402","kind":"arxiv","version":1}},"canonical_sha256":"eef18aab88c58889b115eff05365aaa183eb6c7f1e0ee03443af41a2d753503e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eef18aab88c58889b115eff05365aaa183eb6c7f1e0ee03443af41a2d753503e","first_computed_at":"2026-05-17T23:41:40.494659Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:41:40.494659Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tYZqDNP/0YlFrFCiiDc2UmZl61W0I5s7s2ZjaENe0G4Lf3GFzhT7fR4FH6UN1UbvSawQB9fpijZkIWAwC2qFAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:41:40.495176Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.01402","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ecfa03c755cb8cc49ad092e079737ccaab986bbeb25337ebe4c3758dc8a05d16","sha256:1810e0dd4f90379a78fd068a180807f89b6fb191ca7862481c7da2a33f79838e"],"state_sha256":"b15e9069ff5528858f97649829f568d19d765dd4fdeb0ea8ee2ad06c0654a953"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SoQYrjv0bSCXd0pEwQLsLcSuH2dJk4PWkOC5iBR2OTTFtUU9uMG5+NxZ895K+FleWx9ql5jpX1ayRD9T21AEBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T10:02:43.961440Z","bundle_sha256":"cf9fb46db4c6c080c961dd884ed57551fd139d7c5867d385ed6ec0b9693f5593"}}