{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:YDPSG4HLFO2EVXGCESAHIIEIZE","short_pith_number":"pith:YDPSG4HL","schema_version":"1.0","canonical_sha256":"c0df2370eb2bb44adcc22480742088c92d5ada67d039c8131f2a96c292919e8f","source":{"kind":"arxiv","id":"2605.21379","version":1},"attestation_state":"computed","paper":{"title":"How to Build Marcus's Algebraic Mind: Algebro-Deterministic Substrate over Galois Fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.AI"],"primary_cat":"cs.NE","authors_text":"Hiroyuki Chuma, Kanji Otsuk, Yoichi Sato","submitted_at":"2026-05-20T16:40:27Z","abstract_excerpt":"In The Algebraic Mind, Gary Marcus identified three components essential for any adequate cognitive architecture: operations over variables, recursively structured representations, and a distinction between mental representations of individuals and kinds. He argued that standard multilayer perceptrons supported none of these, acknowledging that a neural implementation using registers and treelets, constructed via developmental programs rather than gradient descent, remained a programmatic conjecture. Twenty-five years later, the required substrate is now available. Our newly developed PyVaCoAl"},"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":"2605.21379","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2026-05-20T16:40:27Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"6b8a5e9cad91dbb34567fa0573ae3c5a9e768ca7229b2fc6d92e09edd2d62e22","abstract_canon_sha256":"b57aa95bdebe70f9ce9dc8dc0acf260c726ea6bd3a38c66d55bda57050c4eff8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-21T02:05:31.820606Z","signature_b64":"MmPJuOr4OBWtT6erQS6o1bAvwsLAhAr7EPEqdk82aE28Hb2FO/c9rgBmHuhZdQ3EXdZn10IkQpiL6hx4W2EyBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c0df2370eb2bb44adcc22480742088c92d5ada67d039c8131f2a96c292919e8f","last_reissued_at":"2026-05-21T02:05:31.819733Z","signature_status":"signed_v1","first_computed_at":"2026-05-21T02:05:31.819733Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"How to Build Marcus's Algebraic Mind: Algebro-Deterministic Substrate over Galois Fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.AI"],"primary_cat":"cs.NE","authors_text":"Hiroyuki Chuma, Kanji Otsuk, Yoichi Sato","submitted_at":"2026-05-20T16:40:27Z","abstract_excerpt":"In The Algebraic Mind, Gary Marcus identified three components essential for any adequate cognitive architecture: operations over variables, recursively structured representations, and a distinction between mental representations of individuals and kinds. He argued that standard multilayer perceptrons supported none of these, acknowledging that a neural implementation using registers and treelets, constructed via developmental programs rather than gradient descent, remained a programmatic conjecture. Twenty-five years later, the required substrate is now available. Our newly developed PyVaCoAl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.21379","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/2605.21379/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":"2605.21379","created_at":"2026-05-21T02:05:31.819893+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.21379v1","created_at":"2026-05-21T02:05:31.819893+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.21379","created_at":"2026-05-21T02:05:31.819893+00:00"},{"alias_kind":"pith_short_12","alias_value":"YDPSG4HLFO2E","created_at":"2026-05-21T02:05:31.819893+00:00"},{"alias_kind":"pith_short_16","alias_value":"YDPSG4HLFO2EVXGC","created_at":"2026-05-21T02:05:31.819893+00:00"},{"alias_kind":"pith_short_8","alias_value":"YDPSG4HL","created_at":"2026-05-21T02:05:31.819893+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/YDPSG4HLFO2EVXGCESAHIIEIZE","json":"https://pith.science/pith/YDPSG4HLFO2EVXGCESAHIIEIZE.json","graph_json":"https://pith.science/api/pith-number/YDPSG4HLFO2EVXGCESAHIIEIZE/graph.json","events_json":"https://pith.science/api/pith-number/YDPSG4HLFO2EVXGCESAHIIEIZE/events.json","paper":"https://pith.science/paper/YDPSG4HL"},"agent_actions":{"view_html":"https://pith.science/pith/YDPSG4HLFO2EVXGCESAHIIEIZE","download_json":"https://pith.science/pith/YDPSG4HLFO2EVXGCESAHIIEIZE.json","view_paper":"https://pith.science/paper/YDPSG4HL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.21379&json=true","fetch_graph":"https://pith.science/api/pith-number/YDPSG4HLFO2EVXGCESAHIIEIZE/graph.json","fetch_events":"https://pith.science/api/pith-number/YDPSG4HLFO2EVXGCESAHIIEIZE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YDPSG4HLFO2EVXGCESAHIIEIZE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YDPSG4HLFO2EVXGCESAHIIEIZE/action/storage_attestation","attest_author":"https://pith.science/pith/YDPSG4HLFO2EVXGCESAHIIEIZE/action/author_attestation","sign_citation":"https://pith.science/pith/YDPSG4HLFO2EVXGCESAHIIEIZE/action/citation_signature","submit_replication":"https://pith.science/pith/YDPSG4HLFO2EVXGCESAHIIEIZE/action/replication_record"}},"created_at":"2026-05-21T02:05:31.819893+00:00","updated_at":"2026-05-21T02:05:31.819893+00:00"}