{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:YYVWECOX3ZZ5PGDCG6J7L7SPI3","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":"304a69f9a1bc469d86309a37d36398dfd2e11d3c847e59c7f0b98c99e9c2af97","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-09-09T10:01:34Z","title_canon_sha256":"aaba9c14f3bc8ac15642bce6f99b23287dce461738aa37705a0eb52020827f3e"},"schema_version":"1.0","source":{"id":"1209.1787","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.1787","created_at":"2026-05-18T03:11:09Z"},{"alias_kind":"arxiv_version","alias_value":"1209.1787v2","created_at":"2026-05-18T03:11:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.1787","created_at":"2026-05-18T03:11:09Z"},{"alias_kind":"pith_short_12","alias_value":"YYVWECOX3ZZ5","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"YYVWECOX3ZZ5PGDC","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"YYVWECOX","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:0a9309ffbf2ad2396d4d74bd7586001b2db102537308646dcb39d0ae7347d760","target":"graph","created_at":"2026-05-18T03:11:09Z","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":"I consider the problem of deriving couplings of a statistical model from measured correlations, a task which generalizes the well-known inverse Ising problem. After reminding that such problem can be mapped on the one of expressing the entropy of a system as a function of its corresponding observables, I show the conditions under which this can be done without resorting to iterative algorithms. I find that inverse problems are local (the inverse Fisher information is sparse) whenever the corresponding models have a factorized form, and the entropy can be split in a sum of small cluster contrib","authors_text":"Iacopo Mastromatteo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-09-09T10:01:34Z","title":"Beyond inverse Ising model: structure of the analytical solution for a class of inverse problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.1787","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":"sha256:02432a1b1bb85e812f32b5531c728d8839b82351ba8f5fd7910b39167bac2e34","target":"record","created_at":"2026-05-18T03:11:09Z","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":"304a69f9a1bc469d86309a37d36398dfd2e11d3c847e59c7f0b98c99e9c2af97","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-09-09T10:01:34Z","title_canon_sha256":"aaba9c14f3bc8ac15642bce6f99b23287dce461738aa37705a0eb52020827f3e"},"schema_version":"1.0","source":{"id":"1209.1787","kind":"arxiv","version":2}},"canonical_sha256":"c62b6209d7de73d798623793f5fe4f46f8bb51dabbc15de0eb6004bff45320ad","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c62b6209d7de73d798623793f5fe4f46f8bb51dabbc15de0eb6004bff45320ad","first_computed_at":"2026-05-18T03:11:09.584517Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:11:09.584517Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DDyBBqfFIeRw4xScIg/v/E5cgBxP8DnSSI7mg6RYBlBE2lzdtKMDBWEip07YGLlmO0QmviTeVYjxfNo0nj3SBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:11:09.585232Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.1787","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:02432a1b1bb85e812f32b5531c728d8839b82351ba8f5fd7910b39167bac2e34","sha256:0a9309ffbf2ad2396d4d74bd7586001b2db102537308646dcb39d0ae7347d760"],"state_sha256":"5ebb6839a49fba33dd77455ee7afeb575629ea2a68d7a03c5dafd33fd64aa687"}