{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:E5Q7HI6LQUWHUXY322QEUIIMHB","short_pith_number":"pith:E5Q7HI6L","canonical_record":{"source":{"id":"1306.5914","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2013-06-25T10:59:58Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"a77036ca6024ef775fe5f26d7d91af170c149497c4e030df4ae160ad7edb2b31","abstract_canon_sha256":"1c2ae0826b8208286ddf00065aac30702e7aafe6dbdb73ba99806b60e025d2ee"},"schema_version":"1.0"},"canonical_sha256":"2761f3a3cb852c7a5f1bd6a04a210c3859a692257cc36e42fd537ebfedf7744b","source":{"kind":"arxiv","id":"1306.5914","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.5914","created_at":"2026-05-18T03:19:58Z"},{"alias_kind":"arxiv_version","alias_value":"1306.5914v1","created_at":"2026-05-18T03:19:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.5914","created_at":"2026-05-18T03:19:58Z"},{"alias_kind":"pith_short_12","alias_value":"E5Q7HI6LQUWH","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"E5Q7HI6LQUWHUXY3","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"E5Q7HI6L","created_at":"2026-05-18T12:27:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:E5Q7HI6LQUWHUXY322QEUIIMHB","target":"record","payload":{"canonical_record":{"source":{"id":"1306.5914","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2013-06-25T10:59:58Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"a77036ca6024ef775fe5f26d7d91af170c149497c4e030df4ae160ad7edb2b31","abstract_canon_sha256":"1c2ae0826b8208286ddf00065aac30702e7aafe6dbdb73ba99806b60e025d2ee"},"schema_version":"1.0"},"canonical_sha256":"2761f3a3cb852c7a5f1bd6a04a210c3859a692257cc36e42fd537ebfedf7744b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:19:58.181043Z","signature_b64":"q2urXssnsj01f0rqTOyC8C74TtvBTtoXV2pKajkQyy1gJ2bwsftneTtYRRQ4jxllKXtFq/g/cYC50TqfC9/9Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2761f3a3cb852c7a5f1bd6a04a210c3859a692257cc36e42fd537ebfedf7744b","last_reissued_at":"2026-05-18T03:19:58.180141Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:19:58.180141Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1306.5914","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:19:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AvYu5GBCbYrYY0qizayBdT1jmNHrIvNZ0RNU5ihOIapRJjpHWpIh6xVSPvKnz18tXodjUCj4kJHb4cWpWY+cCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T18:22:36.665299Z"},"content_sha256":"55aed03c93fe140486cdcab80a66d82a395a92525fe466b15e989e1506a68f3e","schema_version":"1.0","event_id":"sha256:55aed03c93fe140486cdcab80a66d82a395a92525fe466b15e989e1506a68f3e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:E5Q7HI6LQUWHUXY322QEUIIMHB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Gauge Field Model of Modal Completion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"q-bio.NC","authors_text":"Alessandro Sarti, Giovanna Citti","submitted_at":"2013-06-25T10:59:58Z","abstract_excerpt":"Perceptual completion of figures is a basic process revealing the deep architecture of low level vision. In this paper a complete gauge field Lagrangian is proposed allowing to couple the retinex equation with neurogeometrical models and to solve the problem of modal completion, i.e. the pop up of the Kanizsa triangle. Euler-Lagrange equations are derived by variational calculus and numerically solved. Plausible neurophysiological implementations of the particle and field equations are discussed and a model of the interaction between LGN and visual cortex is proposed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.5914","kind":"arxiv","version":1},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:19:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ncGuyYB2x0IFYtTMlfyj/D5QawBzJCoYa9xwBaH1P17uLK75GrKfeO5dkwZZzT/aTwkWdwbnsIZXw/KHif59Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T18:22:36.665656Z"},"content_sha256":"886fb0de3a03243dfbe6342348b078c26f0da1c606e451095d6ac9b7b7c5336c","schema_version":"1.0","event_id":"sha256:886fb0de3a03243dfbe6342348b078c26f0da1c606e451095d6ac9b7b7c5336c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/E5Q7HI6LQUWHUXY322QEUIIMHB/bundle.json","state_url":"https://pith.science/pith/E5Q7HI6LQUWHUXY322QEUIIMHB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/E5Q7HI6LQUWHUXY322QEUIIMHB/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-03T18:22:36Z","links":{"resolver":"https://pith.science/pith/E5Q7HI6LQUWHUXY322QEUIIMHB","bundle":"https://pith.science/pith/E5Q7HI6LQUWHUXY322QEUIIMHB/bundle.json","state":"https://pith.science/pith/E5Q7HI6LQUWHUXY322QEUIIMHB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/E5Q7HI6LQUWHUXY322QEUIIMHB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:E5Q7HI6LQUWHUXY322QEUIIMHB","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":"1c2ae0826b8208286ddf00065aac30702e7aafe6dbdb73ba99806b60e025d2ee","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2013-06-25T10:59:58Z","title_canon_sha256":"a77036ca6024ef775fe5f26d7d91af170c149497c4e030df4ae160ad7edb2b31"},"schema_version":"1.0","source":{"id":"1306.5914","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.5914","created_at":"2026-05-18T03:19:58Z"},{"alias_kind":"arxiv_version","alias_value":"1306.5914v1","created_at":"2026-05-18T03:19:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.5914","created_at":"2026-05-18T03:19:58Z"},{"alias_kind":"pith_short_12","alias_value":"E5Q7HI6LQUWH","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"E5Q7HI6LQUWHUXY3","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"E5Q7HI6L","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:886fb0de3a03243dfbe6342348b078c26f0da1c606e451095d6ac9b7b7c5336c","target":"graph","created_at":"2026-05-18T03:19:58Z","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":"Perceptual completion of figures is a basic process revealing the deep architecture of low level vision. In this paper a complete gauge field Lagrangian is proposed allowing to couple the retinex equation with neurogeometrical models and to solve the problem of modal completion, i.e. the pop up of the Kanizsa triangle. Euler-Lagrange equations are derived by variational calculus and numerically solved. Plausible neurophysiological implementations of the particle and field equations are discussed and a model of the interaction between LGN and visual cortex is proposed.","authors_text":"Alessandro Sarti, Giovanna Citti","cross_cats":["cond-mat.dis-nn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2013-06-25T10:59:58Z","title":"A Gauge Field Model of Modal Completion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.5914","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":"sha256:55aed03c93fe140486cdcab80a66d82a395a92525fe466b15e989e1506a68f3e","target":"record","created_at":"2026-05-18T03:19:58Z","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":"1c2ae0826b8208286ddf00065aac30702e7aafe6dbdb73ba99806b60e025d2ee","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2013-06-25T10:59:58Z","title_canon_sha256":"a77036ca6024ef775fe5f26d7d91af170c149497c4e030df4ae160ad7edb2b31"},"schema_version":"1.0","source":{"id":"1306.5914","kind":"arxiv","version":1}},"canonical_sha256":"2761f3a3cb852c7a5f1bd6a04a210c3859a692257cc36e42fd537ebfedf7744b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2761f3a3cb852c7a5f1bd6a04a210c3859a692257cc36e42fd537ebfedf7744b","first_computed_at":"2026-05-18T03:19:58.180141Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:19:58.180141Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"q2urXssnsj01f0rqTOyC8C74TtvBTtoXV2pKajkQyy1gJ2bwsftneTtYRRQ4jxllKXtFq/g/cYC50TqfC9/9Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:19:58.181043Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.5914","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:55aed03c93fe140486cdcab80a66d82a395a92525fe466b15e989e1506a68f3e","sha256:886fb0de3a03243dfbe6342348b078c26f0da1c606e451095d6ac9b7b7c5336c"],"state_sha256":"8aee875763a84518b0c3260d45cf66bcbd22ebb68a57371e13a51ccb91e727e9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CK8jese6zRspnIGGdD1yRC9/g1+20JKeQzhHxr3jni64x/xWEiZGCJRR2Zsw+/G2TBjPcJJCOY1L6nhKobBgDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T18:22:36.667461Z","bundle_sha256":"5704195084013e32b04276ff40a581696f9a373205f7de7dd9621bf325586249"}}