{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:5JGCDXTYWHRKNBWSJZT4CBHAZJ","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":"116252c98b08e504976f1997306afce46e6b08c3fcaf76d3d2e20239452f63a6","cross_cats_sorted":["cond-mat.stat-mech","cs.IT","cs.LG","math-ph","math.IT","math.MP","math.ST","nlin.CD","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2007-08-05T01:37:53Z","title_canon_sha256":"09759a0be1036eed9dd7b2a3ee016e43151a3e3509e5f3c3dabaf4f9cd55a0e2"},"schema_version":"1.0","source":{"id":"0708.0654","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0708.0654","created_at":"2026-05-18T01:05:14Z"},{"alias_kind":"arxiv_version","alias_value":"0708.0654v2","created_at":"2026-05-18T01:05:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0708.0654","created_at":"2026-05-18T01:05:14Z"},{"alias_kind":"pith_short_12","alias_value":"5JGCDXTYWHRK","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"5JGCDXTYWHRKNBWS","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"5JGCDXTY","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:7c001f342449156f1a1bef4a02631f790d6b5fe545ad3426977bf341721af9c7","target":"graph","created_at":"2026-05-18T01:05:14Z","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":"We show how rate-distortion theory provides a mechanism for automated theory building by naturally distinguishing between regularity and randomness. We start from the simple principle that model variables should, as much as possible, render the future and past conditionally independent. From this, we construct an objective function for model making whose extrema embody the trade-off between a model's structural complexity and its predictive power. The solutions correspond to a hierarchy of models that, at each level of complexity, achieve optimal predictive power at minimal cost. In the limit ","authors_text":"James P. Crutchfield, Susanne Still","cross_cats":["cond-mat.stat-mech","cs.IT","cs.LG","math-ph","math.IT","math.MP","math.ST","nlin.CD","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2007-08-05T01:37:53Z","title":"Structure or Noise?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0708.0654","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:f3d093b84f65ee28ac0ea7eeb408484bd820ca69bb57b9a87bfc03821fea36bc","target":"record","created_at":"2026-05-18T01:05:14Z","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":"116252c98b08e504976f1997306afce46e6b08c3fcaf76d3d2e20239452f63a6","cross_cats_sorted":["cond-mat.stat-mech","cs.IT","cs.LG","math-ph","math.IT","math.MP","math.ST","nlin.CD","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2007-08-05T01:37:53Z","title_canon_sha256":"09759a0be1036eed9dd7b2a3ee016e43151a3e3509e5f3c3dabaf4f9cd55a0e2"},"schema_version":"1.0","source":{"id":"0708.0654","kind":"arxiv","version":2}},"canonical_sha256":"ea4c21de78b1e2a686d24e67c104e0ca6599537f99cafcad8bc1e6e4f680284d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ea4c21de78b1e2a686d24e67c104e0ca6599537f99cafcad8bc1e6e4f680284d","first_computed_at":"2026-05-18T01:05:14.085179Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:14.085179Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"G28IYK0XnBWF5zLqUiUlPu9y6Aogl5E88xp3FioXAy+JYzcXizPh1ZG4czWK+jZazKmDaxFqHoViL6tA2venDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:14.085822Z","signed_message":"canonical_sha256_bytes"},"source_id":"0708.0654","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f3d093b84f65ee28ac0ea7eeb408484bd820ca69bb57b9a87bfc03821fea36bc","sha256:7c001f342449156f1a1bef4a02631f790d6b5fe545ad3426977bf341721af9c7"],"state_sha256":"15dd437eefa8027ada08fbe50b7cf7cde076c9c39c608a2890190bc9b0812844"}