{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ZYPUFSTI7YB5QUCPMNF5I573TB","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":"5e42152dd8e6f7516a7918c2af8327be52057727fca8e66256380dfadf6f0e99","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2015-12-21T10:27:58Z","title_canon_sha256":"f310dbbb6e4797e8bd41fae4286348a2de15e3139cfbe839f6773840982ab30b"},"schema_version":"1.0","source":{"id":"1512.06566","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.06566","created_at":"2026-05-18T01:07:49Z"},{"alias_kind":"arxiv_version","alias_value":"1512.06566v2","created_at":"2026-05-18T01:07:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.06566","created_at":"2026-05-18T01:07:49Z"},{"alias_kind":"pith_short_12","alias_value":"ZYPUFSTI7YB5","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZYPUFSTI7YB5QUCP","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZYPUFSTI","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:f9e9409a647a6e9d17c8c205961b31f9dde871ba586e88af5bdf731f90a6a86c","target":"graph","created_at":"2026-05-18T01:07:49Z","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 mathematical model of figure-ground articulation is presented, taking into account both local and global gestalt laws. The model is compatible with the functional architecture of the primary visual cortex (V1). Particularly the local gestalt law of good continuity is described by means of suitable connectivity kernels, that are derived from Lie group theory and are neurally implemented in long range connectivity in V1. Different kernels are compatible with the geometric structure of cortical connectivity and they are derived as the fundamental solutions of the Fokker Planck, the Sub-Riemanni","authors_text":"Alessandro Sarti, Giovanna Citti, Marta Favali","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2015-12-21T10:27:58Z","title":"Local and global gestalt laws: A neurally based spectral approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.06566","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":"sha256:2dadc648ed54680b065733e7a6cae7c933e2151ae05a540d85aeb9782f0e06e4","target":"record","created_at":"2026-05-18T01:07:49Z","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":"5e42152dd8e6f7516a7918c2af8327be52057727fca8e66256380dfadf6f0e99","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2015-12-21T10:27:58Z","title_canon_sha256":"f310dbbb6e4797e8bd41fae4286348a2de15e3139cfbe839f6773840982ab30b"},"schema_version":"1.0","source":{"id":"1512.06566","kind":"arxiv","version":2}},"canonical_sha256":"ce1f42ca68fe03d8504f634bd477fb9874d0f2d27b0e268b77ede4c4b549d6c2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ce1f42ca68fe03d8504f634bd477fb9874d0f2d27b0e268b77ede4c4b549d6c2","first_computed_at":"2026-05-18T01:07:49.029619Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:07:49.029619Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2nYlVmE6wiZBVPZqxazYW9MvdWDO+fNdhyMzszvwMdDIoQ+yJ8dWwTESO4kNqNrET6CxjQWN1zhsTbc3VJ2sBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:07:49.030112Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.06566","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2dadc648ed54680b065733e7a6cae7c933e2151ae05a540d85aeb9782f0e06e4","sha256:f9e9409a647a6e9d17c8c205961b31f9dde871ba586e88af5bdf731f90a6a86c"],"state_sha256":"b6b5bf93c6d55bcfaef1d1df273e951b123e9616807cfac6332fac7f71850fe3"}