{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:EXJ2LLURTKOIKY53SF7U4M5BNN","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":"c9addac34e214de0a6f8195b97bb64993601935336a29f12724a551572d23e2c","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2011-01-30T12:05:12Z","title_canon_sha256":"6cbc2098111ac2443eef7a549b9024e15da6f985f526f41d8657095eb95e932e"},"schema_version":"1.0","source":{"id":"1101.5766","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.5766","created_at":"2026-05-18T04:30:24Z"},{"alias_kind":"arxiv_version","alias_value":"1101.5766v1","created_at":"2026-05-18T04:30:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.5766","created_at":"2026-05-18T04:30:24Z"},{"alias_kind":"pith_short_12","alias_value":"EXJ2LLURTKOI","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"EXJ2LLURTKOIKY53","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"EXJ2LLUR","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:cbd6000354831e356fff4fe9b50a7d382cd767b8d6c0672de18c0ff2b5444326","target":"graph","created_at":"2026-05-18T04:30:24Z","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":"A geometric model of sparse signal representations is introduced for classes of signals. It is computed by optimizing co-occurrence groups with a maximum likelihood estimate calculated with a Bernoulli mixture model. Applications to face image compression and MNIST digit classification illustrate the applicability of this model.","authors_text":"Joan Bruna, St\\'ephane Mallat","cross_cats":["cs.IT","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2011-01-30T12:05:12Z","title":"Geometric Models with Co-occurrence Groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.5766","kind":"arxiv","version":1},"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:b0d3f80712d192bbeaa8f687ca4e92523a4fc78f434b591d7937e1ddc1ef12ba","target":"record","created_at":"2026-05-18T04:30:24Z","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":"c9addac34e214de0a6f8195b97bb64993601935336a29f12724a551572d23e2c","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2011-01-30T12:05:12Z","title_canon_sha256":"6cbc2098111ac2443eef7a549b9024e15da6f985f526f41d8657095eb95e932e"},"schema_version":"1.0","source":{"id":"1101.5766","kind":"arxiv","version":1}},"canonical_sha256":"25d3a5ae919a9c8563bb917f4e33a16b5522887d0a16393703a822a42d6f168e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"25d3a5ae919a9c8563bb917f4e33a16b5522887d0a16393703a822a42d6f168e","first_computed_at":"2026-05-18T04:30:24.857981Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:30:24.857981Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EK03iHLgaPmzd5NTPwLIyzvlgIhkWSx4YBz5PwBU8CqMAIUEmfB0qd1lpufJLmV1AKYW0sSrAPQK79/gglpgCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:30:24.858656Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.5766","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b0d3f80712d192bbeaa8f687ca4e92523a4fc78f434b591d7937e1ddc1ef12ba","sha256:cbd6000354831e356fff4fe9b50a7d382cd767b8d6c0672de18c0ff2b5444326"],"state_sha256":"2b709fd4494015d4d37fdd478ed820b0b483c7dab7f01e33ccde71efaf6fd0b8"}