{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:FYVN772GE7F2VLOPGQFWTKZY4U","short_pith_number":"pith:FYVN772G","schema_version":"1.0","canonical_sha256":"2e2adfff4627cbaaadcf340b69ab38e5384aa1e6342a0b0a31b8fe954e130392","source":{"kind":"arxiv","id":"2209.15563","version":3},"attestation_state":"computed","paper":{"title":"Actionable Neural Representations: Grid Cells from Minimal Constraints","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"q-bio.NC","authors_text":"James C.R. Whittington, Peter E. Latham, Timothy E.J. Behrens, William Dorrell","submitted_at":"2022-09-30T16:20:51Z","abstract_excerpt":"To afford flexible behaviour, the brain must build internal representations that mirror the structure of variables in the external world. For example, 2D space obeys rules: the same set of actions combine in the same way everywhere (step north, then south, and you won't have moved, wherever you start). We suggest the brain must represent this consistent meaning of actions across space, as it allows you to find new short-cuts and navigate in unfamiliar settings. We term this representation an `actionable representation'. We formulate actionable representations using group and representation the"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2209.15563","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-bio.NC","submitted_at":"2022-09-30T16:20:51Z","cross_cats_sorted":[],"title_canon_sha256":"6257728c78cba9dfa75f7d3ad295d251963217e2858cefe4ac310eddfeab4bcb","abstract_canon_sha256":"e237b22f3d3c48885520da8c162d95d938e065790862c0dd56c0ce4e7a668b3d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:21:54.205720Z","signature_b64":"MoeFHSKE6MG8cAMW13F+p5OZ2wFzWPkvQL3Fwt9I9oDfIsS4DYqZrihs3lf/R43jgZvOdCZ3LkvsmYMCZGsBBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2e2adfff4627cbaaadcf340b69ab38e5384aa1e6342a0b0a31b8fe954e130392","last_reissued_at":"2026-07-05T10:21:54.205210Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:21:54.205210Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Actionable Neural Representations: Grid Cells from Minimal Constraints","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"q-bio.NC","authors_text":"James C.R. Whittington, Peter E. Latham, Timothy E.J. Behrens, William Dorrell","submitted_at":"2022-09-30T16:20:51Z","abstract_excerpt":"To afford flexible behaviour, the brain must build internal representations that mirror the structure of variables in the external world. For example, 2D space obeys rules: the same set of actions combine in the same way everywhere (step north, then south, and you won't have moved, wherever you start). We suggest the brain must represent this consistent meaning of actions across space, as it allows you to find new short-cuts and navigate in unfamiliar settings. We term this representation an `actionable representation'. We formulate actionable representations using group and representation the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2209.15563","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/2209.15563/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2209.15563","created_at":"2026-07-05T10:21:54.205272+00:00"},{"alias_kind":"arxiv_version","alias_value":"2209.15563v3","created_at":"2026-07-05T10:21:54.205272+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2209.15563","created_at":"2026-07-05T10:21:54.205272+00:00"},{"alias_kind":"pith_short_12","alias_value":"FYVN772GE7F2","created_at":"2026-07-05T10:21:54.205272+00:00"},{"alias_kind":"pith_short_16","alias_value":"FYVN772GE7F2VLOP","created_at":"2026-07-05T10:21:54.205272+00:00"},{"alias_kind":"pith_short_8","alias_value":"FYVN772G","created_at":"2026-07-05T10:21:54.205272+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2607.07460","citing_title":"Social-spatial dependencies for learning visual navigation","ref_index":279,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FYVN772GE7F2VLOPGQFWTKZY4U","json":"https://pith.science/pith/FYVN772GE7F2VLOPGQFWTKZY4U.json","graph_json":"https://pith.science/api/pith-number/FYVN772GE7F2VLOPGQFWTKZY4U/graph.json","events_json":"https://pith.science/api/pith-number/FYVN772GE7F2VLOPGQFWTKZY4U/events.json","paper":"https://pith.science/paper/FYVN772G"},"agent_actions":{"view_html":"https://pith.science/pith/FYVN772GE7F2VLOPGQFWTKZY4U","download_json":"https://pith.science/pith/FYVN772GE7F2VLOPGQFWTKZY4U.json","view_paper":"https://pith.science/paper/FYVN772G","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2209.15563&json=true","fetch_graph":"https://pith.science/api/pith-number/FYVN772GE7F2VLOPGQFWTKZY4U/graph.json","fetch_events":"https://pith.science/api/pith-number/FYVN772GE7F2VLOPGQFWTKZY4U/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FYVN772GE7F2VLOPGQFWTKZY4U/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FYVN772GE7F2VLOPGQFWTKZY4U/action/storage_attestation","attest_author":"https://pith.science/pith/FYVN772GE7F2VLOPGQFWTKZY4U/action/author_attestation","sign_citation":"https://pith.science/pith/FYVN772GE7F2VLOPGQFWTKZY4U/action/citation_signature","submit_replication":"https://pith.science/pith/FYVN772GE7F2VLOPGQFWTKZY4U/action/replication_record"}},"created_at":"2026-07-05T10:21:54.205272+00:00","updated_at":"2026-07-05T10:21:54.205272+00:00"}