{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:ZFGWD4RIGXM53TTDVZDA3T2EIS","short_pith_number":"pith:ZFGWD4RI","canonical_record":{"source":{"id":"1204.5375","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2012-04-24T13:39:55Z","cross_cats_sorted":["cond-mat.stat-mech","q-bio.QM"],"title_canon_sha256":"7dff1221ce58230b7b57d208d273cef5c7aeacf5956ecd14236c8451a07e7447","abstract_canon_sha256":"32260ff2fe44905ff1e80320c735376acc93a363fd42b1546d3f96d655f3456a"},"schema_version":"1.0"},"canonical_sha256":"c94d61f22835d9ddce63ae460dcf4444abd03d9fded19a4502a2e6bbb31b964f","source":{"kind":"arxiv","id":"1204.5375","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.5375","created_at":"2026-05-18T03:49:00Z"},{"alias_kind":"arxiv_version","alias_value":"1204.5375v2","created_at":"2026-05-18T03:49:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.5375","created_at":"2026-05-18T03:49:00Z"},{"alias_kind":"pith_short_12","alias_value":"ZFGWD4RIGXM5","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"ZFGWD4RIGXM53TTD","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"ZFGWD4RI","created_at":"2026-05-18T12:27:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:ZFGWD4RIGXM53TTDVZDA3T2EIS","target":"record","payload":{"canonical_record":{"source":{"id":"1204.5375","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2012-04-24T13:39:55Z","cross_cats_sorted":["cond-mat.stat-mech","q-bio.QM"],"title_canon_sha256":"7dff1221ce58230b7b57d208d273cef5c7aeacf5956ecd14236c8451a07e7447","abstract_canon_sha256":"32260ff2fe44905ff1e80320c735376acc93a363fd42b1546d3f96d655f3456a"},"schema_version":"1.0"},"canonical_sha256":"c94d61f22835d9ddce63ae460dcf4444abd03d9fded19a4502a2e6bbb31b964f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:49:00.850628Z","signature_b64":"WyQGqWqOfkAKTb0rf4tEAtPpqchAeBalXwCrMKuK8ItYb5CFFNK27DIMTMtXad9DMMmf9q8B3LMkfDmrCCkhAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c94d61f22835d9ddce63ae460dcf4444abd03d9fded19a4502a2e6bbb31b964f","last_reissued_at":"2026-05-18T03:49:00.849926Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:49:00.849926Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1204.5375","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":"2026-05-18T03:49:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xlfY5TUG9EzkYG9R5Jrx/sHhIXnnPAlNLn2TzVx7+VpXmGw6WLYz6i9kbgxFeP10bC7spAzpSrYmldUIXd6EAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T00:02:36.067259Z"},"content_sha256":"d1e4f94a4e6934ab4e4f710ee493a29d4a68414e66d492e863931e8f9425ef6f","schema_version":"1.0","event_id":"sha256:d1e4f94a4e6934ab4e4f710ee493a29d4a68414e66d492e863931e8f9425ef6f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:ZFGWD4RIGXM53TTDVZDA3T2EIS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mean-field theory for the inverse Ising problem at low temperatures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","q-bio.QM"],"primary_cat":"cond-mat.dis-nn","authors_text":"H. Chau Nguyen, Johannes Berg","submitted_at":"2012-04-24T13:39:55Z","abstract_excerpt":"The large amounts of data from molecular biology and neuroscience have lead to a renewed interest in the inverse Ising problem: how to reconstruct parameters of the Ising model (couplings between spins and external fields) from a number of spin configurations sampled from the Boltzmann measure. To invert the relationship between model parameters and observables (magnetisations and correlations) mean-field approximations are often used, allowing to determine model parameters from data. However, all known mean-field methods fail at low temperatures with the emergence of multiple thermodynamic st"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.5375","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":"2026-05-18T03:49:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K1tpmmtbq7hi4cfMeeN+IV3s8CM4CbvM28zUdkhlZA7CI2dRKiUvZJ+rWSCUNsaI92r8BNUw7phOpRy7PDc7Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T00:02:36.067894Z"},"content_sha256":"cb3aef803b2b2bd1f28145710d1fe9656af1ddef0bbeefa41814099fb7a68092","schema_version":"1.0","event_id":"sha256:cb3aef803b2b2bd1f28145710d1fe9656af1ddef0bbeefa41814099fb7a68092"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZFGWD4RIGXM53TTDVZDA3T2EIS/bundle.json","state_url":"https://pith.science/pith/ZFGWD4RIGXM53TTDVZDA3T2EIS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZFGWD4RIGXM53TTDVZDA3T2EIS/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":"2026-05-28T00:02:36Z","links":{"resolver":"https://pith.science/pith/ZFGWD4RIGXM53TTDVZDA3T2EIS","bundle":"https://pith.science/pith/ZFGWD4RIGXM53TTDVZDA3T2EIS/bundle.json","state":"https://pith.science/pith/ZFGWD4RIGXM53TTDVZDA3T2EIS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZFGWD4RIGXM53TTDVZDA3T2EIS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:ZFGWD4RIGXM53TTDVZDA3T2EIS","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":"32260ff2fe44905ff1e80320c735376acc93a363fd42b1546d3f96d655f3456a","cross_cats_sorted":["cond-mat.stat-mech","q-bio.QM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2012-04-24T13:39:55Z","title_canon_sha256":"7dff1221ce58230b7b57d208d273cef5c7aeacf5956ecd14236c8451a07e7447"},"schema_version":"1.0","source":{"id":"1204.5375","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.5375","created_at":"2026-05-18T03:49:00Z"},{"alias_kind":"arxiv_version","alias_value":"1204.5375v2","created_at":"2026-05-18T03:49:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.5375","created_at":"2026-05-18T03:49:00Z"},{"alias_kind":"pith_short_12","alias_value":"ZFGWD4RIGXM5","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"ZFGWD4RIGXM53TTD","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"ZFGWD4RI","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:cb3aef803b2b2bd1f28145710d1fe9656af1ddef0bbeefa41814099fb7a68092","target":"graph","created_at":"2026-05-18T03:49:00Z","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 large amounts of data from molecular biology and neuroscience have lead to a renewed interest in the inverse Ising problem: how to reconstruct parameters of the Ising model (couplings between spins and external fields) from a number of spin configurations sampled from the Boltzmann measure. To invert the relationship between model parameters and observables (magnetisations and correlations) mean-field approximations are often used, allowing to determine model parameters from data. However, all known mean-field methods fail at low temperatures with the emergence of multiple thermodynamic st","authors_text":"H. Chau Nguyen, Johannes Berg","cross_cats":["cond-mat.stat-mech","q-bio.QM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2012-04-24T13:39:55Z","title":"Mean-field theory for the inverse Ising problem at low temperatures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.5375","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:d1e4f94a4e6934ab4e4f710ee493a29d4a68414e66d492e863931e8f9425ef6f","target":"record","created_at":"2026-05-18T03:49:00Z","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":"32260ff2fe44905ff1e80320c735376acc93a363fd42b1546d3f96d655f3456a","cross_cats_sorted":["cond-mat.stat-mech","q-bio.QM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2012-04-24T13:39:55Z","title_canon_sha256":"7dff1221ce58230b7b57d208d273cef5c7aeacf5956ecd14236c8451a07e7447"},"schema_version":"1.0","source":{"id":"1204.5375","kind":"arxiv","version":2}},"canonical_sha256":"c94d61f22835d9ddce63ae460dcf4444abd03d9fded19a4502a2e6bbb31b964f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c94d61f22835d9ddce63ae460dcf4444abd03d9fded19a4502a2e6bbb31b964f","first_computed_at":"2026-05-18T03:49:00.849926Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:49:00.849926Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WyQGqWqOfkAKTb0rf4tEAtPpqchAeBalXwCrMKuK8ItYb5CFFNK27DIMTMtXad9DMMmf9q8B3LMkfDmrCCkhAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:49:00.850628Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.5375","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d1e4f94a4e6934ab4e4f710ee493a29d4a68414e66d492e863931e8f9425ef6f","sha256:cb3aef803b2b2bd1f28145710d1fe9656af1ddef0bbeefa41814099fb7a68092"],"state_sha256":"fefb184d2397726f86f8fa67124ac0f04671f079e59ad5623e3808f362c29b02"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IQOA5lvfUCVPVrM0kLMwCGBsfsuxdH4XJ+wL2NEyFQXZ5rOcJ2s+YdeuLFHAGPX2/OETN3ZtxP1wzRV/iGazBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T00:02:36.071126Z","bundle_sha256":"9c7cbd78f68ba7b676e078fbc5579e297bfbca55d679c2fee8cd2036e9260691"}}