{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:XOK3FRRVB6BNQHLTUZNWCIQBOP","short_pith_number":"pith:XOK3FRRV","canonical_record":{"source":{"id":"2205.01681","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.NE","submitted_at":"2022-05-03T11:34:22Z","cross_cats_sorted":["cs.LG","q-bio.CB"],"title_canon_sha256":"f7d6fd306c416e9db016013a852fb9cacdcea0babe297a91db927c409a6cc59e","abstract_canon_sha256":"67f8262b53b4dd7c943aadcea59f35aeb9c7d892744242172fdf0e670e206ed6"},"schema_version":"1.0"},"canonical_sha256":"bb95b2c6350f82d81d73a65b61220173defc3f8a57e6f1828a9880d64df174af","source":{"kind":"arxiv","id":"2205.01681","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2205.01681","created_at":"2026-07-05T04:28:11Z"},{"alias_kind":"arxiv_version","alias_value":"2205.01681v3","created_at":"2026-07-05T04:28:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2205.01681","created_at":"2026-07-05T04:28:11Z"},{"alias_kind":"pith_short_12","alias_value":"XOK3FRRVB6BN","created_at":"2026-07-05T04:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"XOK3FRRVB6BNQHLT","created_at":"2026-07-05T04:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"XOK3FRRV","created_at":"2026-07-05T04:28:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:XOK3FRRVB6BNQHLTUZNWCIQBOP","target":"record","payload":{"canonical_record":{"source":{"id":"2205.01681","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.NE","submitted_at":"2022-05-03T11:34:22Z","cross_cats_sorted":["cs.LG","q-bio.CB"],"title_canon_sha256":"f7d6fd306c416e9db016013a852fb9cacdcea0babe297a91db927c409a6cc59e","abstract_canon_sha256":"67f8262b53b4dd7c943aadcea59f35aeb9c7d892744242172fdf0e670e206ed6"},"schema_version":"1.0"},"canonical_sha256":"bb95b2c6350f82d81d73a65b61220173defc3f8a57e6f1828a9880d64df174af","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:28:11.257555Z","signature_b64":"wBFYo3f84AUh3KZaFL+U8Eyw20WzoM1HUn4tF9xJyzK/9c/3XXs7y+23rPYj4TO2tiKRJtGLdYv1OXRVUbzhBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bb95b2c6350f82d81d73a65b61220173defc3f8a57e6f1828a9880d64df174af","last_reissued_at":"2026-07-05T04:28:11.257085Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:28:11.257085Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2205.01681","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:28:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3BzIYCYoKDZOdfzjxvytJ+V+NhPmZ2GD2ZDZw6YNZoemFy90Zdio6c0Gr/mhhcid5nyZQuGSIGPlBwKV3ZncDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-24T02:17:10.917896Z"},"content_sha256":"86a5aef44e5ea1e4f1f840e90cc9be3967f8f3976a52c333d30d795cd7ee15bb","schema_version":"1.0","event_id":"sha256:86a5aef44e5ea1e4f1f840e90cc9be3967f8f3976a52c333d30d795cd7ee15bb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:XOK3FRRVB6BNQHLTUZNWCIQBOP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Growing Isotropic Neural Cellular Automata","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["cs.LG","q-bio.CB"],"primary_cat":"cs.NE","authors_text":"Alexander Mordvintsev, Craig Fouts, Ettore Randazzo","submitted_at":"2022-05-03T11:34:22Z","abstract_excerpt":"Modeling the ability of multicellular organisms to build and maintain their bodies through local interactions between individual cells (morphogenesis) is a long-standing challenge of developmental biology. Recently, the Neural Cellular Automata (NCA) model was proposed as a way to find local system rules that produce a desired global behaviour, such as growing and persisting a predefined target pattern, by repeatedly applying the same rule over a grid starting from a single cell. In this work, we argue that the original Growing NCA model has an important limitation: anisotropy of the learned u"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2205.01681","kind":"arxiv","version":3},"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/2205.01681/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":"2026-07-05T04:28:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BnTecwUqn8zDTwnEWuD9ZRzqXzA6AyIavqZtLbfQ0OpwAXHquyxvnNlhmsahBtRuE5v7TOQGV4GI5ya4xoSDBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-24T02:17:10.918437Z"},"content_sha256":"7165770792a4d2198ad1ee9fd180645b0bc4d6d34bb22c65241b4aadfddfa4a9","schema_version":"1.0","event_id":"sha256:7165770792a4d2198ad1ee9fd180645b0bc4d6d34bb22c65241b4aadfddfa4a9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XOK3FRRVB6BNQHLTUZNWCIQBOP/bundle.json","state_url":"https://pith.science/pith/XOK3FRRVB6BNQHLTUZNWCIQBOP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XOK3FRRVB6BNQHLTUZNWCIQBOP/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":"2026-08-24T02:17:10Z","links":{"resolver":"https://pith.science/pith/XOK3FRRVB6BNQHLTUZNWCIQBOP","bundle":"https://pith.science/pith/XOK3FRRVB6BNQHLTUZNWCIQBOP/bundle.json","state":"https://pith.science/pith/XOK3FRRVB6BNQHLTUZNWCIQBOP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XOK3FRRVB6BNQHLTUZNWCIQBOP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:XOK3FRRVB6BNQHLTUZNWCIQBOP","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":"67f8262b53b4dd7c943aadcea59f35aeb9c7d892744242172fdf0e670e206ed6","cross_cats_sorted":["cs.LG","q-bio.CB"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.NE","submitted_at":"2022-05-03T11:34:22Z","title_canon_sha256":"f7d6fd306c416e9db016013a852fb9cacdcea0babe297a91db927c409a6cc59e"},"schema_version":"1.0","source":{"id":"2205.01681","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2205.01681","created_at":"2026-07-05T04:28:11Z"},{"alias_kind":"arxiv_version","alias_value":"2205.01681v3","created_at":"2026-07-05T04:28:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2205.01681","created_at":"2026-07-05T04:28:11Z"},{"alias_kind":"pith_short_12","alias_value":"XOK3FRRVB6BN","created_at":"2026-07-05T04:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"XOK3FRRVB6BNQHLT","created_at":"2026-07-05T04:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"XOK3FRRV","created_at":"2026-07-05T04:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:7165770792a4d2198ad1ee9fd180645b0bc4d6d34bb22c65241b4aadfddfa4a9","target":"graph","created_at":"2026-07-05T04:28:11Z","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/2205.01681/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Modeling the ability of multicellular organisms to build and maintain their bodies through local interactions between individual cells (morphogenesis) is a long-standing challenge of developmental biology. Recently, the Neural Cellular Automata (NCA) model was proposed as a way to find local system rules that produce a desired global behaviour, such as growing and persisting a predefined target pattern, by repeatedly applying the same rule over a grid starting from a single cell. In this work, we argue that the original Growing NCA model has an important limitation: anisotropy of the learned u","authors_text":"Alexander Mordvintsev, Craig Fouts, Ettore Randazzo","cross_cats":["cs.LG","q-bio.CB"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.NE","submitted_at":"2022-05-03T11:34:22Z","title":"Growing Isotropic Neural Cellular Automata"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2205.01681","kind":"arxiv","version":3},"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":"sha256:86a5aef44e5ea1e4f1f840e90cc9be3967f8f3976a52c333d30d795cd7ee15bb","target":"record","created_at":"2026-07-05T04:28:11Z","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":"67f8262b53b4dd7c943aadcea59f35aeb9c7d892744242172fdf0e670e206ed6","cross_cats_sorted":["cs.LG","q-bio.CB"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.NE","submitted_at":"2022-05-03T11:34:22Z","title_canon_sha256":"f7d6fd306c416e9db016013a852fb9cacdcea0babe297a91db927c409a6cc59e"},"schema_version":"1.0","source":{"id":"2205.01681","kind":"arxiv","version":3}},"canonical_sha256":"bb95b2c6350f82d81d73a65b61220173defc3f8a57e6f1828a9880d64df174af","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bb95b2c6350f82d81d73a65b61220173defc3f8a57e6f1828a9880d64df174af","first_computed_at":"2026-07-05T04:28:11.257085Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:28:11.257085Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wBFYo3f84AUh3KZaFL+U8Eyw20WzoM1HUn4tF9xJyzK/9c/3XXs7y+23rPYj4TO2tiKRJtGLdYv1OXRVUbzhBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T04:28:11.257555Z","signed_message":"canonical_sha256_bytes"},"source_id":"2205.01681","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:86a5aef44e5ea1e4f1f840e90cc9be3967f8f3976a52c333d30d795cd7ee15bb","sha256:7165770792a4d2198ad1ee9fd180645b0bc4d6d34bb22c65241b4aadfddfa4a9"],"state_sha256":"f3406963f8222c8ba557abaf3a10220076e5f4907307cbfd9fcf1b788b42304f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j/i6jn/OvbX0Hn3mFOzrAjq1PMQrr6nNukKUF95IbvT3IQDPBAJPaAxAUilP+QxTIQR90yTuamRPZUgjll0oBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-24T02:17:10.923203Z","bundle_sha256":"e80ed847537173abb6811999da3ac882c78761a8ef55032b080b9d611ea27b45"}}