{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:M3UFK6DJ6EGAGW6ER7JDQ2BIBG","short_pith_number":"pith:M3UFK6DJ","canonical_record":{"source":{"id":"1808.09162","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2018-08-28T08:12:23Z","cross_cats_sorted":[],"title_canon_sha256":"cc1cdfa85d03b1aae99a8333d4fa5c0610db51c9f54dd4ff32938cbf5692aeb6","abstract_canon_sha256":"876dbe13e99c1eec78ed641f0dd4cace4c5082ce84f470f6965ba419077c9fcb"},"schema_version":"1.0"},"canonical_sha256":"66e8557869f10c035bc48fd2386828099e0ef4be743a30ccef84c0eb7c06ca98","source":{"kind":"arxiv","id":"1808.09162","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.09162","created_at":"2026-05-18T00:07:02Z"},{"alias_kind":"arxiv_version","alias_value":"1808.09162v1","created_at":"2026-05-18T00:07:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.09162","created_at":"2026-05-18T00:07:02Z"},{"alias_kind":"pith_short_12","alias_value":"M3UFK6DJ6EGA","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"M3UFK6DJ6EGAGW6E","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"M3UFK6DJ","created_at":"2026-05-18T12:32:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:M3UFK6DJ6EGAGW6ER7JDQ2BIBG","target":"record","payload":{"canonical_record":{"source":{"id":"1808.09162","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2018-08-28T08:12:23Z","cross_cats_sorted":[],"title_canon_sha256":"cc1cdfa85d03b1aae99a8333d4fa5c0610db51c9f54dd4ff32938cbf5692aeb6","abstract_canon_sha256":"876dbe13e99c1eec78ed641f0dd4cace4c5082ce84f470f6965ba419077c9fcb"},"schema_version":"1.0"},"canonical_sha256":"66e8557869f10c035bc48fd2386828099e0ef4be743a30ccef84c0eb7c06ca98","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:07:02.168643Z","signature_b64":"19rx0iVpXu9FFyfwitf7sCCH8cd/XrPV6fdmEZIp/DtWol0TwGY8Ql6b5/vZooGgX/e0ncu0AZIL6EFAU02tDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"66e8557869f10c035bc48fd2386828099e0ef4be743a30ccef84c0eb7c06ca98","last_reissued_at":"2026-05-18T00:07:02.168109Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:07:02.168109Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1808.09162","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":"2026-05-18T00:07:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zSlSnbQO8uuvAbM35xwKj/uEtxMm55koSAQLImhISD7da80RHuzLqhSpssgad60DvhZT8PGmBcF547KQSjkiAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T18:56:37.955125Z"},"content_sha256":"e2d3b1a7eec8a3006e2252b49f9230fadbce50f1b0fe725a00b64e5d2d3a9293","schema_version":"1.0","event_id":"sha256:e2d3b1a7eec8a3006e2252b49f9230fadbce50f1b0fe725a00b64e5d2d3a9293"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:M3UFK6DJ6EGAGW6ER7JDQ2BIBG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cognitive Action Laws: The Case of Visual Features","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CV","authors_text":"Alessandro Betti, Marco Gori, Stefano Melacci","submitted_at":"2018-08-28T08:12:23Z","abstract_excerpt":"This paper proposes a theory for understanding perceptual learning processes within the general framework of laws of nature. Neural networks are regarded as systems whose connections are Lagrangian variables, namely functions depending on time. They are used to minimize the cognitive action, an appropriate functional index that measures the agent interactions with the environment. The cognitive action contains a potential and a kinetic term that nicely resemble the classic formulation of regularization in machine learning. A special choice of the functional index, which leads to forth-order di"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.09162","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":"2026-05-18T00:07:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bgTao8rXgqAqnQYWk/cbrwbU73LwC9uXEiZ1EtM4hrPyadog1xMiF5kfioIlD9jw18uk+1TAocELxIcbjWzeDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T18:56:37.955472Z"},"content_sha256":"169d04ff481703363e9d313b1115603c593cfcb44383c7330655011564acbcb5","schema_version":"1.0","event_id":"sha256:169d04ff481703363e9d313b1115603c593cfcb44383c7330655011564acbcb5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/M3UFK6DJ6EGAGW6ER7JDQ2BIBG/bundle.json","state_url":"https://pith.science/pith/M3UFK6DJ6EGAGW6ER7JDQ2BIBG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/M3UFK6DJ6EGAGW6ER7JDQ2BIBG/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":"2026-06-26T18:56:37Z","links":{"resolver":"https://pith.science/pith/M3UFK6DJ6EGAGW6ER7JDQ2BIBG","bundle":"https://pith.science/pith/M3UFK6DJ6EGAGW6ER7JDQ2BIBG/bundle.json","state":"https://pith.science/pith/M3UFK6DJ6EGAGW6ER7JDQ2BIBG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/M3UFK6DJ6EGAGW6ER7JDQ2BIBG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:M3UFK6DJ6EGAGW6ER7JDQ2BIBG","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":"876dbe13e99c1eec78ed641f0dd4cace4c5082ce84f470f6965ba419077c9fcb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2018-08-28T08:12:23Z","title_canon_sha256":"cc1cdfa85d03b1aae99a8333d4fa5c0610db51c9f54dd4ff32938cbf5692aeb6"},"schema_version":"1.0","source":{"id":"1808.09162","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.09162","created_at":"2026-05-18T00:07:02Z"},{"alias_kind":"arxiv_version","alias_value":"1808.09162v1","created_at":"2026-05-18T00:07:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.09162","created_at":"2026-05-18T00:07:02Z"},{"alias_kind":"pith_short_12","alias_value":"M3UFK6DJ6EGA","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"M3UFK6DJ6EGAGW6E","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"M3UFK6DJ","created_at":"2026-05-18T12:32:37Z"}],"graph_snapshots":[{"event_id":"sha256:169d04ff481703363e9d313b1115603c593cfcb44383c7330655011564acbcb5","target":"graph","created_at":"2026-05-18T00:07:02Z","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":"This paper proposes a theory for understanding perceptual learning processes within the general framework of laws of nature. Neural networks are regarded as systems whose connections are Lagrangian variables, namely functions depending on time. They are used to minimize the cognitive action, an appropriate functional index that measures the agent interactions with the environment. The cognitive action contains a potential and a kinetic term that nicely resemble the classic formulation of regularization in machine learning. A special choice of the functional index, which leads to forth-order di","authors_text":"Alessandro Betti, Marco Gori, Stefano Melacci","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2018-08-28T08:12:23Z","title":"Cognitive Action Laws: The Case of Visual Features"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.09162","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:e2d3b1a7eec8a3006e2252b49f9230fadbce50f1b0fe725a00b64e5d2d3a9293","target":"record","created_at":"2026-05-18T00:07:02Z","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":"876dbe13e99c1eec78ed641f0dd4cace4c5082ce84f470f6965ba419077c9fcb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2018-08-28T08:12:23Z","title_canon_sha256":"cc1cdfa85d03b1aae99a8333d4fa5c0610db51c9f54dd4ff32938cbf5692aeb6"},"schema_version":"1.0","source":{"id":"1808.09162","kind":"arxiv","version":1}},"canonical_sha256":"66e8557869f10c035bc48fd2386828099e0ef4be743a30ccef84c0eb7c06ca98","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"66e8557869f10c035bc48fd2386828099e0ef4be743a30ccef84c0eb7c06ca98","first_computed_at":"2026-05-18T00:07:02.168109Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:07:02.168109Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"19rx0iVpXu9FFyfwitf7sCCH8cd/XrPV6fdmEZIp/DtWol0TwGY8Ql6b5/vZooGgX/e0ncu0AZIL6EFAU02tDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:07:02.168643Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.09162","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e2d3b1a7eec8a3006e2252b49f9230fadbce50f1b0fe725a00b64e5d2d3a9293","sha256:169d04ff481703363e9d313b1115603c593cfcb44383c7330655011564acbcb5"],"state_sha256":"e87e4e87d76ba4d65d3512c51ac3798c4d92e9d79fd92230024f1188ab5848ea"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UqJdAPj988tF3oMOuUAKQnrzhxKrccqJ7d23INpdH4LdNurzY2B1aOrLQ+WpuyZZ8atAhj4hMBmRs7Y+jJrMAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T18:56:37.957458Z","bundle_sha256":"bc9b77f5a5d354d2f499ce2f33d1ed01496497fd47dd0e55849906cc944705c7"}}