{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:HVG4STTZOIG3IBYOQTQONV5KZ2","short_pith_number":"pith:HVG4STTZ","canonical_record":{"source":{"id":"1111.0598","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-11-02T18:27:34Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"f5950f26dbebeeb95acab6d66c2fab105d0e8972e5221aff35a93846e7b29b4f","abstract_canon_sha256":"2a22f43f986269770175d4b1b7054015596bbefcbf499dc5a294d2b2ed22b9b8"},"schema_version":"1.0"},"canonical_sha256":"3d4dc94e79720db4070e84e0e6d7aaceb42da00b9181d479494367a6d8ffe1c8","source":{"kind":"arxiv","id":"1111.0598","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.0598","created_at":"2026-05-18T03:33:48Z"},{"alias_kind":"arxiv_version","alias_value":"1111.0598v3","created_at":"2026-05-18T03:33:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.0598","created_at":"2026-05-18T03:33:48Z"},{"alias_kind":"pith_short_12","alias_value":"HVG4STTZOIG3","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"HVG4STTZOIG3IBYO","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"HVG4STTZ","created_at":"2026-05-18T12:26:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:HVG4STTZOIG3IBYOQTQONV5KZ2","target":"record","payload":{"canonical_record":{"source":{"id":"1111.0598","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-11-02T18:27:34Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"f5950f26dbebeeb95acab6d66c2fab105d0e8972e5221aff35a93846e7b29b4f","abstract_canon_sha256":"2a22f43f986269770175d4b1b7054015596bbefcbf499dc5a294d2b2ed22b9b8"},"schema_version":"1.0"},"canonical_sha256":"3d4dc94e79720db4070e84e0e6d7aaceb42da00b9181d479494367a6d8ffe1c8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:33:48.162572Z","signature_b64":"NgmfFBPhhbZepjT36UPoQzKOP8HChBrC0rzq+CXd0zfHE8OcR8DkdR1KwjDAOx6OtQJrT8Mugzt0362dx+IzCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3d4dc94e79720db4070e84e0e6d7aaceb42da00b9181d479494367a6d8ffe1c8","last_reissued_at":"2026-05-18T03:33:48.161887Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:33:48.161887Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1111.0598","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:33:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BkAPqOepfEBNVu0IpqNalnf9VAjjt3CySP1Gxm7StIojinZqPKO+bZDiDXdFPm8oCJLqLn0vqs+xA7mXsiViBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T08:00:05.243540Z"},"content_sha256":"186251d3c5ca83238e68006b5a76052092b1b9681fef4006bbd0e5aec639be21","schema_version":"1.0","event_id":"sha256:186251d3c5ca83238e68006b5a76052092b1b9681fef4006bbd0e5aec639be21"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:HVG4STTZOIG3IBYOQTQONV5KZ2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact solutions for the 2d one component plasma","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Timothy D. Andersen","submitted_at":"2011-11-02T18:27:34Z","abstract_excerpt":"The 2d one component gas of pointlike charges in a uniform neutralizing background interacting with a logarithmic potential is a common model for plasmas. In its classical equilibrium statistics at fixed temperature (canonical ensemble) it is formally related to certain types of random matrices with Gaussian distribution and complex eigenvalues. In this paper, I present an exact integration of this ensemble for $N$ such particles (or alternatively $N\\times N$ matrices) for all even non-negative temperatures, a significant open problem in statistical physics for several decades. I achieve this "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.0598","kind":"arxiv","version":3},"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":"2026-05-18T03:33:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"64iEFRcxjXyVdDL1GOlFl+/XpKMeMcBO0lvX6cLcOzGc6ZdT7EDPHgPrQ92OlPvjgK446087gac4p68UmPMQDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T08:00:05.243881Z"},"content_sha256":"faae6b1b70a811c31546d86a516e0d44e8e9ec6141bbcf86b571e9eed2a3251f","schema_version":"1.0","event_id":"sha256:faae6b1b70a811c31546d86a516e0d44e8e9ec6141bbcf86b571e9eed2a3251f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HVG4STTZOIG3IBYOQTQONV5KZ2/bundle.json","state_url":"https://pith.science/pith/HVG4STTZOIG3IBYOQTQONV5KZ2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HVG4STTZOIG3IBYOQTQONV5KZ2/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":"2026-06-02T08:00:05Z","links":{"resolver":"https://pith.science/pith/HVG4STTZOIG3IBYOQTQONV5KZ2","bundle":"https://pith.science/pith/HVG4STTZOIG3IBYOQTQONV5KZ2/bundle.json","state":"https://pith.science/pith/HVG4STTZOIG3IBYOQTQONV5KZ2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HVG4STTZOIG3IBYOQTQONV5KZ2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:HVG4STTZOIG3IBYOQTQONV5KZ2","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":"2a22f43f986269770175d4b1b7054015596bbefcbf499dc5a294d2b2ed22b9b8","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-11-02T18:27:34Z","title_canon_sha256":"f5950f26dbebeeb95acab6d66c2fab105d0e8972e5221aff35a93846e7b29b4f"},"schema_version":"1.0","source":{"id":"1111.0598","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.0598","created_at":"2026-05-18T03:33:48Z"},{"alias_kind":"arxiv_version","alias_value":"1111.0598v3","created_at":"2026-05-18T03:33:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.0598","created_at":"2026-05-18T03:33:48Z"},{"alias_kind":"pith_short_12","alias_value":"HVG4STTZOIG3","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"HVG4STTZOIG3IBYO","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"HVG4STTZ","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:faae6b1b70a811c31546d86a516e0d44e8e9ec6141bbcf86b571e9eed2a3251f","target":"graph","created_at":"2026-05-18T03:33:48Z","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":"The 2d one component gas of pointlike charges in a uniform neutralizing background interacting with a logarithmic potential is a common model for plasmas. In its classical equilibrium statistics at fixed temperature (canonical ensemble) it is formally related to certain types of random matrices with Gaussian distribution and complex eigenvalues. In this paper, I present an exact integration of this ensemble for $N$ such particles (or alternatively $N\\times N$ matrices) for all even non-negative temperatures, a significant open problem in statistical physics for several decades. I achieve this ","authors_text":"Timothy D. Andersen","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-11-02T18:27:34Z","title":"Exact solutions for the 2d one component plasma"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.0598","kind":"arxiv","version":3},"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":"sha256:186251d3c5ca83238e68006b5a76052092b1b9681fef4006bbd0e5aec639be21","target":"record","created_at":"2026-05-18T03:33:48Z","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":"2a22f43f986269770175d4b1b7054015596bbefcbf499dc5a294d2b2ed22b9b8","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-11-02T18:27:34Z","title_canon_sha256":"f5950f26dbebeeb95acab6d66c2fab105d0e8972e5221aff35a93846e7b29b4f"},"schema_version":"1.0","source":{"id":"1111.0598","kind":"arxiv","version":3}},"canonical_sha256":"3d4dc94e79720db4070e84e0e6d7aaceb42da00b9181d479494367a6d8ffe1c8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3d4dc94e79720db4070e84e0e6d7aaceb42da00b9181d479494367a6d8ffe1c8","first_computed_at":"2026-05-18T03:33:48.161887Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:33:48.161887Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NgmfFBPhhbZepjT36UPoQzKOP8HChBrC0rzq+CXd0zfHE8OcR8DkdR1KwjDAOx6OtQJrT8Mugzt0362dx+IzCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:33:48.162572Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.0598","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:186251d3c5ca83238e68006b5a76052092b1b9681fef4006bbd0e5aec639be21","sha256:faae6b1b70a811c31546d86a516e0d44e8e9ec6141bbcf86b571e9eed2a3251f"],"state_sha256":"8d7db96b2d8a99c1ed9f8e07b5f5f0e6fea9f7ebf5bb91ae6075dcc38663ad74"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gV1TPSCco2cCeQKZg+qr2oaehuFNbKkLnQAgvxTcEswYSB6iCt/mVlRdeeRXrK0jRozZQN3Z1iKzj71EJ59gAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T08:00:05.245700Z","bundle_sha256":"d307dad0255f6106e2feeee0e9433380bb0797d65aa54d83263dcd3e140e9aad"}}