{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:EKYI3ESRQZFFNAKSYSSU3ETANL","short_pith_number":"pith:EKYI3ESR","schema_version":"1.0","canonical_sha256":"22b08d9251864a568152c4a54d92606afa3aa0cef099a8ad083f044dcb259576","source":{"kind":"arxiv","id":"1606.00144","version":2},"attestation_state":"computed","paper":{"title":"Derivatives and inverse of a linear-nonlinear multi-layer spatial vision model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-bio.NC","authors_text":"Borja Galan, Jesus Malo, Marcelo Bertalmio, Marina Martinez-Garcia, Praveen Cyriac, Thomas Batard","submitted_at":"2016-06-01T07:32:02Z","abstract_excerpt":"Linear-nonlinear transforms are interesting in vision science because they are key in modeling a number of perceptual experiences such as color, motion or spatial texture. Here we first show that a number of issues in vision may be addressed through an analytic expression of the Jacobian of these linear-nonlinear transforms. The particular model analyzed afterwards (an extension of [Malo & Simoncelli SPIE 2015]) is illustrative because it consists of a cascade of standard linear-nonlinear modules. Each module roughly corresponds to a known psychophysical mechanism: (1) linear spectral integrat"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1606.00144","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2016-06-01T07:32:02Z","cross_cats_sorted":[],"title_canon_sha256":"7a1184dcb3cb4a0decc59728cd844bb2337718ba6f12590bedea9391efd93fd4","abstract_canon_sha256":"5978889f32c49d414561a1dc1ce88de9cad15433ff0f2c796f27d7689ed58c3f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:13:00.236569Z","signature_b64":"NEDI7BbhaPEfG1c1b12QeCi8osF6H5tUslNlfHyoAMcZ26F3Thc5LTeE6zraAlD94HiFDMmDlbSK/R6JMnKFAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"22b08d9251864a568152c4a54d92606afa3aa0cef099a8ad083f044dcb259576","last_reissued_at":"2026-05-18T01:13:00.236181Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:13:00.236181Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Derivatives and inverse of a linear-nonlinear multi-layer spatial vision model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-bio.NC","authors_text":"Borja Galan, Jesus Malo, Marcelo Bertalmio, Marina Martinez-Garcia, Praveen Cyriac, Thomas Batard","submitted_at":"2016-06-01T07:32:02Z","abstract_excerpt":"Linear-nonlinear transforms are interesting in vision science because they are key in modeling a number of perceptual experiences such as color, motion or spatial texture. Here we first show that a number of issues in vision may be addressed through an analytic expression of the Jacobian of these linear-nonlinear transforms. The particular model analyzed afterwards (an extension of [Malo & Simoncelli SPIE 2015]) is illustrative because it consists of a cascade of standard linear-nonlinear modules. Each module roughly corresponds to a known psychophysical mechanism: (1) linear spectral integrat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.00144","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1606.00144","created_at":"2026-05-18T01:13:00.236236+00:00"},{"alias_kind":"arxiv_version","alias_value":"1606.00144v2","created_at":"2026-05-18T01:13:00.236236+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.00144","created_at":"2026-05-18T01:13:00.236236+00:00"},{"alias_kind":"pith_short_12","alias_value":"EKYI3ESRQZFF","created_at":"2026-05-18T12:30:12.583610+00:00"},{"alias_kind":"pith_short_16","alias_value":"EKYI3ESRQZFFNAKS","created_at":"2026-05-18T12:30:12.583610+00:00"},{"alias_kind":"pith_short_8","alias_value":"EKYI3ESR","created_at":"2026-05-18T12:30:12.583610+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/EKYI3ESRQZFFNAKSYSSU3ETANL","json":"https://pith.science/pith/EKYI3ESRQZFFNAKSYSSU3ETANL.json","graph_json":"https://pith.science/api/pith-number/EKYI3ESRQZFFNAKSYSSU3ETANL/graph.json","events_json":"https://pith.science/api/pith-number/EKYI3ESRQZFFNAKSYSSU3ETANL/events.json","paper":"https://pith.science/paper/EKYI3ESR"},"agent_actions":{"view_html":"https://pith.science/pith/EKYI3ESRQZFFNAKSYSSU3ETANL","download_json":"https://pith.science/pith/EKYI3ESRQZFFNAKSYSSU3ETANL.json","view_paper":"https://pith.science/paper/EKYI3ESR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1606.00144&json=true","fetch_graph":"https://pith.science/api/pith-number/EKYI3ESRQZFFNAKSYSSU3ETANL/graph.json","fetch_events":"https://pith.science/api/pith-number/EKYI3ESRQZFFNAKSYSSU3ETANL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EKYI3ESRQZFFNAKSYSSU3ETANL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EKYI3ESRQZFFNAKSYSSU3ETANL/action/storage_attestation","attest_author":"https://pith.science/pith/EKYI3ESRQZFFNAKSYSSU3ETANL/action/author_attestation","sign_citation":"https://pith.science/pith/EKYI3ESRQZFFNAKSYSSU3ETANL/action/citation_signature","submit_replication":"https://pith.science/pith/EKYI3ESRQZFFNAKSYSSU3ETANL/action/replication_record"}},"created_at":"2026-05-18T01:13:00.236236+00:00","updated_at":"2026-05-18T01:13:00.236236+00:00"}