{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:FLWUDTT5NQBTHEJNVVJDZUFPXU","short_pith_number":"pith:FLWUDTT5","schema_version":"1.0","canonical_sha256":"2aed41ce7d6c0333912dad523cd0afbd18166efc4ba59248271878db5790b0d0","source":{"kind":"arxiv","id":"1707.01429","version":1},"attestation_state":"computed","paper":{"title":"Theory of the superposition principle for randomized connectionist representations in neural networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.NE","authors_text":"Denis Kleyko, E. Paxon Frady, Friedrich T. Sommer","submitted_at":"2017-07-05T15:18:09Z","abstract_excerpt":"To understand cognitive reasoning in the brain, it has been proposed that symbols and compositions of symbols are represented by activity patterns (vectors) in a large population of neurons. Formal models implementing this idea [Plate 2003], [Kanerva 2009], [Gayler 2003], [Eliasmith 2012] include a reversible superposition operation for representing with a single vector an entire set of symbols or an ordered sequence of symbols. If the representation space is high-dimensional, large sets of symbols can be superposed and individually retrieved. However, crosstalk noise limits the accuracy of re"},"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":"1707.01429","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2017-07-05T15:18:09Z","cross_cats_sorted":[],"title_canon_sha256":"a27eabd7927fb85cf607ace34cd1882e864c98d2dea933308f38741989a55719","abstract_canon_sha256":"5b88d77d4c4f9723b4ad4e9e2e9e6fe0e93333fdbf5205d425df5179baf87cd5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:52.346618Z","signature_b64":"ocSTJtKNkb4BrYaUMQu5Xbf9zSoSsh8e4hwb53R0zcznWgAh49s13V8O0Pv5DcNSiDR6q+4g6ti1++KNO0wqBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2aed41ce7d6c0333912dad523cd0afbd18166efc4ba59248271878db5790b0d0","last_reissued_at":"2026-05-18T00:40:52.345989Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:52.345989Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Theory of the superposition principle for randomized connectionist representations in neural networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.NE","authors_text":"Denis Kleyko, E. Paxon Frady, Friedrich T. Sommer","submitted_at":"2017-07-05T15:18:09Z","abstract_excerpt":"To understand cognitive reasoning in the brain, it has been proposed that symbols and compositions of symbols are represented by activity patterns (vectors) in a large population of neurons. Formal models implementing this idea [Plate 2003], [Kanerva 2009], [Gayler 2003], [Eliasmith 2012] include a reversible superposition operation for representing with a single vector an entire set of symbols or an ordered sequence of symbols. If the representation space is high-dimensional, large sets of symbols can be superposed and individually retrieved. However, crosstalk noise limits the accuracy of re"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.01429","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1707.01429","created_at":"2026-05-18T00:40:52.346082+00:00"},{"alias_kind":"arxiv_version","alias_value":"1707.01429v1","created_at":"2026-05-18T00:40:52.346082+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.01429","created_at":"2026-05-18T00:40:52.346082+00:00"},{"alias_kind":"pith_short_12","alias_value":"FLWUDTT5NQBT","created_at":"2026-05-18T12:31:15.632608+00:00"},{"alias_kind":"pith_short_16","alias_value":"FLWUDTT5NQBTHEJN","created_at":"2026-05-18T12:31:15.632608+00:00"},{"alias_kind":"pith_short_8","alias_value":"FLWUDTT5","created_at":"2026-05-18T12:31:15.632608+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/FLWUDTT5NQBTHEJNVVJDZUFPXU","json":"https://pith.science/pith/FLWUDTT5NQBTHEJNVVJDZUFPXU.json","graph_json":"https://pith.science/api/pith-number/FLWUDTT5NQBTHEJNVVJDZUFPXU/graph.json","events_json":"https://pith.science/api/pith-number/FLWUDTT5NQBTHEJNVVJDZUFPXU/events.json","paper":"https://pith.science/paper/FLWUDTT5"},"agent_actions":{"view_html":"https://pith.science/pith/FLWUDTT5NQBTHEJNVVJDZUFPXU","download_json":"https://pith.science/pith/FLWUDTT5NQBTHEJNVVJDZUFPXU.json","view_paper":"https://pith.science/paper/FLWUDTT5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1707.01429&json=true","fetch_graph":"https://pith.science/api/pith-number/FLWUDTT5NQBTHEJNVVJDZUFPXU/graph.json","fetch_events":"https://pith.science/api/pith-number/FLWUDTT5NQBTHEJNVVJDZUFPXU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FLWUDTT5NQBTHEJNVVJDZUFPXU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FLWUDTT5NQBTHEJNVVJDZUFPXU/action/storage_attestation","attest_author":"https://pith.science/pith/FLWUDTT5NQBTHEJNVVJDZUFPXU/action/author_attestation","sign_citation":"https://pith.science/pith/FLWUDTT5NQBTHEJNVVJDZUFPXU/action/citation_signature","submit_replication":"https://pith.science/pith/FLWUDTT5NQBTHEJNVVJDZUFPXU/action/replication_record"}},"created_at":"2026-05-18T00:40:52.346082+00:00","updated_at":"2026-05-18T00:40:52.346082+00:00"}