{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:ESRRRZNQEEN7AUJZYTU4PRGZRT","short_pith_number":"pith:ESRRRZNQ","canonical_record":{"source":{"id":"1311.1306","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-11-06T08:05:50Z","cross_cats_sorted":[],"title_canon_sha256":"a42c030f78557d2054836b2f0316926d41afa287dd1d8393dea66f1bada5daf6","abstract_canon_sha256":"d5f26a69023d55f2d304063f4a98376ddc812ba7efd34f2b7783b556a1c0a415"},"schema_version":"1.0"},"canonical_sha256":"24a318e5b0211bf05139c4e9c7c4d98cedf7be111efb0ff8134a91defb6e9992","source":{"kind":"arxiv","id":"1311.1306","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.1306","created_at":"2026-05-18T02:42:06Z"},{"alias_kind":"arxiv_version","alias_value":"1311.1306v2","created_at":"2026-05-18T02:42:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.1306","created_at":"2026-05-18T02:42:06Z"},{"alias_kind":"pith_short_12","alias_value":"ESRRRZNQEEN7","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"ESRRRZNQEEN7AUJZ","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"ESRRRZNQ","created_at":"2026-05-18T12:27:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:ESRRRZNQEEN7AUJZYTU4PRGZRT","target":"record","payload":{"canonical_record":{"source":{"id":"1311.1306","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-11-06T08:05:50Z","cross_cats_sorted":[],"title_canon_sha256":"a42c030f78557d2054836b2f0316926d41afa287dd1d8393dea66f1bada5daf6","abstract_canon_sha256":"d5f26a69023d55f2d304063f4a98376ddc812ba7efd34f2b7783b556a1c0a415"},"schema_version":"1.0"},"canonical_sha256":"24a318e5b0211bf05139c4e9c7c4d98cedf7be111efb0ff8134a91defb6e9992","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:42:06.101683Z","signature_b64":"fsobsVqYRJ3DbhJ38airE1QXafpDvKUdOHN+2xz1R9ONQOuhbB0StIv4KAlHQUTrdRpnTd1TV+ghsBQoFhgXBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"24a318e5b0211bf05139c4e9c7c4d98cedf7be111efb0ff8134a91defb6e9992","last_reissued_at":"2026-05-18T02:42:06.101065Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:42:06.101065Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.1306","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:42:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZHpZNIbKx/JVnpwdeurJC2ykCPGO0VhmS0wjyqixkgT/MId6Ob+Wm/+5gdqSDb+HELIQ9RgDAacdA8AXPB05Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T23:18:04.820988Z"},"content_sha256":"d828ab6d8daedb11a1b0829664f59b982e54341ee838f32a0f92a6ae9603d1c9","schema_version":"1.0","event_id":"sha256:d828ab6d8daedb11a1b0829664f59b982e54341ee838f32a0f92a6ae9603d1c9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:ESRRRZNQEEN7AUJZYTU4PRGZRT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Microcanonical analysis of the Curie-Weiss anisotropic quantum Heisenberg model in a magnetic field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Gerrit Olivier, Michael Kastner","submitted_at":"2013-11-06T08:05:50Z","abstract_excerpt":"The anisotropic quantum Heisenberg model with Curie-Weiss-type interactions is studied analytically in several variants of the microcanonical ensemble. (Non)equivalence of microcanonical and canonical ensembles is investigated by studying the concavity properties of entropies. The microcanonical entropy s(e,m) is obtained as a function of the energy e and the magnetization vector m in the thermodynamic limit. Since, for this model, e is uniquely determined by m, the same information can be encoded either in s(m) or s(e,m1,m2). Although these two entropies correspond to the same physical settin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.1306","kind":"arxiv","version":2},"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":"2026-05-18T02:42:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Nl66/m+X8h+sDucwVvjrppOv3k1c7q9eszW9m03V4Olx7KnHKubC/LFxeP8lQNh/TpF90jIr82ie1cXt+J/ZBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T23:18:04.821346Z"},"content_sha256":"c1a1cca7ae8f8c595df27112b693977b71c5a2f4e31a1228bf0bc4e4f51d4501","schema_version":"1.0","event_id":"sha256:c1a1cca7ae8f8c595df27112b693977b71c5a2f4e31a1228bf0bc4e4f51d4501"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ESRRRZNQEEN7AUJZYTU4PRGZRT/bundle.json","state_url":"https://pith.science/pith/ESRRRZNQEEN7AUJZYTU4PRGZRT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ESRRRZNQEEN7AUJZYTU4PRGZRT/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":"2026-07-04T23:18:04Z","links":{"resolver":"https://pith.science/pith/ESRRRZNQEEN7AUJZYTU4PRGZRT","bundle":"https://pith.science/pith/ESRRRZNQEEN7AUJZYTU4PRGZRT/bundle.json","state":"https://pith.science/pith/ESRRRZNQEEN7AUJZYTU4PRGZRT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ESRRRZNQEEN7AUJZYTU4PRGZRT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:ESRRRZNQEEN7AUJZYTU4PRGZRT","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":"d5f26a69023d55f2d304063f4a98376ddc812ba7efd34f2b7783b556a1c0a415","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-11-06T08:05:50Z","title_canon_sha256":"a42c030f78557d2054836b2f0316926d41afa287dd1d8393dea66f1bada5daf6"},"schema_version":"1.0","source":{"id":"1311.1306","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.1306","created_at":"2026-05-18T02:42:06Z"},{"alias_kind":"arxiv_version","alias_value":"1311.1306v2","created_at":"2026-05-18T02:42:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.1306","created_at":"2026-05-18T02:42:06Z"},{"alias_kind":"pith_short_12","alias_value":"ESRRRZNQEEN7","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"ESRRRZNQEEN7AUJZ","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"ESRRRZNQ","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:c1a1cca7ae8f8c595df27112b693977b71c5a2f4e31a1228bf0bc4e4f51d4501","target":"graph","created_at":"2026-05-18T02:42:06Z","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 anisotropic quantum Heisenberg model with Curie-Weiss-type interactions is studied analytically in several variants of the microcanonical ensemble. (Non)equivalence of microcanonical and canonical ensembles is investigated by studying the concavity properties of entropies. The microcanonical entropy s(e,m) is obtained as a function of the energy e and the magnetization vector m in the thermodynamic limit. Since, for this model, e is uniquely determined by m, the same information can be encoded either in s(m) or s(e,m1,m2). Although these two entropies correspond to the same physical settin","authors_text":"Gerrit Olivier, Michael Kastner","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-11-06T08:05:50Z","title":"Microcanonical analysis of the Curie-Weiss anisotropic quantum Heisenberg model in a magnetic field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.1306","kind":"arxiv","version":2},"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:d828ab6d8daedb11a1b0829664f59b982e54341ee838f32a0f92a6ae9603d1c9","target":"record","created_at":"2026-05-18T02:42:06Z","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":"d5f26a69023d55f2d304063f4a98376ddc812ba7efd34f2b7783b556a1c0a415","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-11-06T08:05:50Z","title_canon_sha256":"a42c030f78557d2054836b2f0316926d41afa287dd1d8393dea66f1bada5daf6"},"schema_version":"1.0","source":{"id":"1311.1306","kind":"arxiv","version":2}},"canonical_sha256":"24a318e5b0211bf05139c4e9c7c4d98cedf7be111efb0ff8134a91defb6e9992","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"24a318e5b0211bf05139c4e9c7c4d98cedf7be111efb0ff8134a91defb6e9992","first_computed_at":"2026-05-18T02:42:06.101065Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:42:06.101065Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fsobsVqYRJ3DbhJ38airE1QXafpDvKUdOHN+2xz1R9ONQOuhbB0StIv4KAlHQUTrdRpnTd1TV+ghsBQoFhgXBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:42:06.101683Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.1306","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d828ab6d8daedb11a1b0829664f59b982e54341ee838f32a0f92a6ae9603d1c9","sha256:c1a1cca7ae8f8c595df27112b693977b71c5a2f4e31a1228bf0bc4e4f51d4501"],"state_sha256":"8ec47e22a68a381364db620c31648f5571372638ad6f76bfb3fff76dd026740c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"egLw7TX4gvfPkMyZZBxJ5jrSnG9lumaJ/a7LszU5ko4R+3E4N6SaEfP1K0a8MAlN5viHwGnzrkJBLzRFROgsDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T23:18:04.823283Z","bundle_sha256":"fbe2e2910d3b71469e6dbcb4d9666ecf77bd29cb7f98f33c14264bcfbeb22858"}}