{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:2ZY7Y7GHXXYMXKXJLJWTJNWF53","short_pith_number":"pith:2ZY7Y7GH","canonical_record":{"source":{"id":"2506.06332","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2025-05-31T04:48:53Z","cross_cats_sorted":["cs.AI","cs.LG"],"title_canon_sha256":"ab558fb656a8e315e4bd1308caee8c15782083323efeed5f39f6baefae7f1690","abstract_canon_sha256":"3d92724794f2dfa950e1f185f7588b7f53af3e5a15570cc6ad4bff8928baeb24"},"schema_version":"1.0"},"canonical_sha256":"d671fc7cc7bdf0cbaae95a6d34b6c5eed252a54519275b4134c89968b57d340a","source":{"kind":"arxiv","id":"2506.06332","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.06332","created_at":"2026-07-05T11:17:48Z"},{"alias_kind":"arxiv_version","alias_value":"2506.06332v1","created_at":"2026-07-05T11:17:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.06332","created_at":"2026-07-05T11:17:48Z"},{"alias_kind":"pith_short_12","alias_value":"2ZY7Y7GHXXYM","created_at":"2026-07-05T11:17:48Z"},{"alias_kind":"pith_short_16","alias_value":"2ZY7Y7GHXXYMXKXJ","created_at":"2026-07-05T11:17:48Z"},{"alias_kind":"pith_short_8","alias_value":"2ZY7Y7GH","created_at":"2026-07-05T11:17:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:2ZY7Y7GHXXYMXKXJLJWTJNWF53","target":"record","payload":{"canonical_record":{"source":{"id":"2506.06332","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2025-05-31T04:48:53Z","cross_cats_sorted":["cs.AI","cs.LG"],"title_canon_sha256":"ab558fb656a8e315e4bd1308caee8c15782083323efeed5f39f6baefae7f1690","abstract_canon_sha256":"3d92724794f2dfa950e1f185f7588b7f53af3e5a15570cc6ad4bff8928baeb24"},"schema_version":"1.0"},"canonical_sha256":"d671fc7cc7bdf0cbaae95a6d34b6c5eed252a54519275b4134c89968b57d340a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:17:48.218543Z","signature_b64":"E+kH0uGwBVV/PDaoOaerZgiidGQShgfqDN/C6mcdKeuN10TV4TXV856Zh2urJEtzf7cnpp6yde0TCOmtaBq8Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d671fc7cc7bdf0cbaae95a6d34b6c5eed252a54519275b4134c89968b57d340a","last_reissued_at":"2026-07-05T11:17:48.218071Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:17:48.218071Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2506.06332","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":"2026-07-05T11:17:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4Fjz5CnMy3UgLgJ3DQjK3m2BhBhvp3AZUw1c/E3Ozkl82l1OQXV1QmmwgNhY9XwoHnZM5F6QycfCEXoniB0lCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T08:22:46.589109Z"},"content_sha256":"475903c3c2d8c619ac9fb49721b5e52f39abf31db9b812c65fbb020ffec21709","schema_version":"1.0","event_id":"sha256:475903c3c2d8c619ac9fb49721b5e52f39abf31db9b812c65fbb020ffec21709"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:2ZY7Y7GHXXYMXKXJLJWTJNWF53","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Introduction to Predictive Coding Networks for Machine Learning","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.AI","cs.LG"],"primary_cat":"cs.NE","authors_text":"Mikko Stenlund","submitted_at":"2025-05-31T04:48:53Z","abstract_excerpt":"Predictive coding networks (PCNs) constitute a biologically inspired framework for understanding hierarchical computation in the brain, and offer an alternative to traditional feedforward neural networks in ML. This note serves as a quick, onboarding introduction to PCNs for machine learning practitioners. We cover the foundational network architecture, inference and learning update rules, and algorithmic implementation. A concrete image-classification task (CIFAR-10) is provided as a benchmark-smashing application, together with an accompanying Python notebook containing the PyTorch implement"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.06332","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2506.06332/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T11:17:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MFLnhvedPY7ouD7Le3eXvtVFkgFbPS0TzesEUr438OBUz1d/hXLqIJbEWvRTSuvSVEe2TDQzMQ4lMEgWZkYQDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T08:22:46.589643Z"},"content_sha256":"52b8d76de7dfe1a1d0624fb266c40c76fea528abb5430db40e3be59192a3cde5","schema_version":"1.0","event_id":"sha256:52b8d76de7dfe1a1d0624fb266c40c76fea528abb5430db40e3be59192a3cde5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2ZY7Y7GHXXYMXKXJLJWTJNWF53/bundle.json","state_url":"https://pith.science/pith/2ZY7Y7GHXXYMXKXJLJWTJNWF53/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2ZY7Y7GHXXYMXKXJLJWTJNWF53/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":"2026-08-09T08:22:46Z","links":{"resolver":"https://pith.science/pith/2ZY7Y7GHXXYMXKXJLJWTJNWF53","bundle":"https://pith.science/pith/2ZY7Y7GHXXYMXKXJLJWTJNWF53/bundle.json","state":"https://pith.science/pith/2ZY7Y7GHXXYMXKXJLJWTJNWF53/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2ZY7Y7GHXXYMXKXJLJWTJNWF53/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:2ZY7Y7GHXXYMXKXJLJWTJNWF53","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":"3d92724794f2dfa950e1f185f7588b7f53af3e5a15570cc6ad4bff8928baeb24","cross_cats_sorted":["cs.AI","cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2025-05-31T04:48:53Z","title_canon_sha256":"ab558fb656a8e315e4bd1308caee8c15782083323efeed5f39f6baefae7f1690"},"schema_version":"1.0","source":{"id":"2506.06332","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.06332","created_at":"2026-07-05T11:17:48Z"},{"alias_kind":"arxiv_version","alias_value":"2506.06332v1","created_at":"2026-07-05T11:17:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.06332","created_at":"2026-07-05T11:17:48Z"},{"alias_kind":"pith_short_12","alias_value":"2ZY7Y7GHXXYM","created_at":"2026-07-05T11:17:48Z"},{"alias_kind":"pith_short_16","alias_value":"2ZY7Y7GHXXYMXKXJ","created_at":"2026-07-05T11:17:48Z"},{"alias_kind":"pith_short_8","alias_value":"2ZY7Y7GH","created_at":"2026-07-05T11:17:48Z"}],"graph_snapshots":[{"event_id":"sha256:52b8d76de7dfe1a1d0624fb266c40c76fea528abb5430db40e3be59192a3cde5","target":"graph","created_at":"2026-07-05T11:17:48Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2506.06332/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Predictive coding networks (PCNs) constitute a biologically inspired framework for understanding hierarchical computation in the brain, and offer an alternative to traditional feedforward neural networks in ML. This note serves as a quick, onboarding introduction to PCNs for machine learning practitioners. We cover the foundational network architecture, inference and learning update rules, and algorithmic implementation. A concrete image-classification task (CIFAR-10) is provided as a benchmark-smashing application, together with an accompanying Python notebook containing the PyTorch implement","authors_text":"Mikko Stenlund","cross_cats":["cs.AI","cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2025-05-31T04:48:53Z","title":"Introduction to Predictive Coding Networks for Machine Learning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.06332","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":"sha256:475903c3c2d8c619ac9fb49721b5e52f39abf31db9b812c65fbb020ffec21709","target":"record","created_at":"2026-07-05T11:17:48Z","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":"3d92724794f2dfa950e1f185f7588b7f53af3e5a15570cc6ad4bff8928baeb24","cross_cats_sorted":["cs.AI","cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2025-05-31T04:48:53Z","title_canon_sha256":"ab558fb656a8e315e4bd1308caee8c15782083323efeed5f39f6baefae7f1690"},"schema_version":"1.0","source":{"id":"2506.06332","kind":"arxiv","version":1}},"canonical_sha256":"d671fc7cc7bdf0cbaae95a6d34b6c5eed252a54519275b4134c89968b57d340a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d671fc7cc7bdf0cbaae95a6d34b6c5eed252a54519275b4134c89968b57d340a","first_computed_at":"2026-07-05T11:17:48.218071Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:17:48.218071Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"E+kH0uGwBVV/PDaoOaerZgiidGQShgfqDN/C6mcdKeuN10TV4TXV856Zh2urJEtzf7cnpp6yde0TCOmtaBq8Ag==","signature_status":"signed_v1","signed_at":"2026-07-05T11:17:48.218543Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.06332","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:475903c3c2d8c619ac9fb49721b5e52f39abf31db9b812c65fbb020ffec21709","sha256:52b8d76de7dfe1a1d0624fb266c40c76fea528abb5430db40e3be59192a3cde5"],"state_sha256":"aa448835a098cbc8c7d3afc02732ecbf3231689d75af050278bd33cfdf552f47"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G28CAhZinQINSqOYus8FrXkCIDFu5SpXcAuL5HrTlBeZwp7VbdUhZGM0Ex/inl2mk36rPMiWakIcFPtr9K9+DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T08:22:46.596159Z","bundle_sha256":"283d9d9681d0f221fb59e4fd07a1f172f16889d7edb63b644cda2f13a86bba52"}}