{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:PICBPEJXZL5TSE4V6WRNFA7AQN","short_pith_number":"pith:PICBPEJX","canonical_record":{"source":{"id":"2202.04805","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2022-02-10T02:38:56Z","cross_cats_sorted":["cs.DC","cs.NE"],"title_canon_sha256":"a47394783228ce8f50a00dac3f78a536fc12f86aa8c1bb3155b685a45544cc0a","abstract_canon_sha256":"d05027d0fe5ab7316dcf58bedb0a2acdd1b66bde47916c00d0ab5f53b26a2ad2"},"schema_version":"1.0"},"canonical_sha256":"7a04179137cafb391395f5a2d283e0837659a3a47b5c13579838cf539d596d2f","source":{"kind":"arxiv","id":"2202.04805","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2202.04805","created_at":"2026-07-05T05:30:42Z"},{"alias_kind":"arxiv_version","alias_value":"2202.04805v2","created_at":"2026-07-05T05:30:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2202.04805","created_at":"2026-07-05T05:30:42Z"},{"alias_kind":"pith_short_12","alias_value":"PICBPEJXZL5T","created_at":"2026-07-05T05:30:42Z"},{"alias_kind":"pith_short_16","alias_value":"PICBPEJXZL5TSE4V","created_at":"2026-07-05T05:30:42Z"},{"alias_kind":"pith_short_8","alias_value":"PICBPEJX","created_at":"2026-07-05T05:30:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:PICBPEJXZL5TSE4V6WRNFA7AQN","target":"record","payload":{"canonical_record":{"source":{"id":"2202.04805","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2022-02-10T02:38:56Z","cross_cats_sorted":["cs.DC","cs.NE"],"title_canon_sha256":"a47394783228ce8f50a00dac3f78a536fc12f86aa8c1bb3155b685a45544cc0a","abstract_canon_sha256":"d05027d0fe5ab7316dcf58bedb0a2acdd1b66bde47916c00d0ab5f53b26a2ad2"},"schema_version":"1.0"},"canonical_sha256":"7a04179137cafb391395f5a2d283e0837659a3a47b5c13579838cf539d596d2f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:30:42.161099Z","signature_b64":"707bHnBcGkxJpfX+aC+qyC2ixuKg7TLzjkkIll1+NLPdiTSUpr0DG1XMEAfL8PsY4teqBsZcJz33XfI2wecJCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7a04179137cafb391395f5a2d283e0837659a3a47b5c13579838cf539d596d2f","last_reissued_at":"2026-07-05T05:30:42.160607Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:30:42.160607Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2202.04805","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:30:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0cYT1n285A/7tmfK3U0+/cubDiqENRd4Yk4boe6gBFK6BH4a7gyPTMmFNljajnxyxjsO8AhH5kwMM7JvqAPXCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T11:34:10.369912Z"},"content_sha256":"35c60361a32ab541f2fbe5ce6bc21ea99780a1536c8a24b39fc4ea82cc8e8793","schema_version":"1.0","event_id":"sha256:35c60361a32ab541f2fbe5ce6bc21ea99780a1536c8a24b39fc4ea82cc8e8793"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:PICBPEJXZL5TSE4V6WRNFA7AQN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Understanding Hyperdimensional Computing for Parallel Single-Pass Learning","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["cs.DC","cs.NE"],"primary_cat":"cs.LG","authors_text":"Christopher De Sa, Tao Yu, Yichi Zhang, Zhiru Zhang","submitted_at":"2022-02-10T02:38:56Z","abstract_excerpt":"Hyperdimensional computing (HDC) is an emerging learning paradigm that computes with high dimensional binary vectors. It is attractive because of its energy efficiency and low latency, especially on emerging hardware -- but HDC suffers from low model accuracy, with little theoretical understanding of what limits its performance. We propose a new theoretical analysis of the limits of HDC via a consideration of what similarity matrices can be \"expressed\" by binary vectors, and we show how the limits of HDC can be approached using random Fourier features (RFF). We extend our analysis to the more "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2202.04805","kind":"arxiv","version":2},"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/2202.04805/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":"2026-07-05T05:30:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZpvkPFdtoeawTooRC0Z/6gi0Bk1Hx5xYMokuQqouP0yO9l4EhOna3WoJtOiBRhu4cfV98e/4LgG7zURzKtVCCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T11:34:10.370286Z"},"content_sha256":"2eb11d0f9b2175f2261f634fd4685d29515638af4f4b734cfb08c68e88c2aee2","schema_version":"1.0","event_id":"sha256:2eb11d0f9b2175f2261f634fd4685d29515638af4f4b734cfb08c68e88c2aee2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PICBPEJXZL5TSE4V6WRNFA7AQN/bundle.json","state_url":"https://pith.science/pith/PICBPEJXZL5TSE4V6WRNFA7AQN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PICBPEJXZL5TSE4V6WRNFA7AQN/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":"2026-07-07T11:34:10Z","links":{"resolver":"https://pith.science/pith/PICBPEJXZL5TSE4V6WRNFA7AQN","bundle":"https://pith.science/pith/PICBPEJXZL5TSE4V6WRNFA7AQN/bundle.json","state":"https://pith.science/pith/PICBPEJXZL5TSE4V6WRNFA7AQN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PICBPEJXZL5TSE4V6WRNFA7AQN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:PICBPEJXZL5TSE4V6WRNFA7AQN","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":"d05027d0fe5ab7316dcf58bedb0a2acdd1b66bde47916c00d0ab5f53b26a2ad2","cross_cats_sorted":["cs.DC","cs.NE"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2022-02-10T02:38:56Z","title_canon_sha256":"a47394783228ce8f50a00dac3f78a536fc12f86aa8c1bb3155b685a45544cc0a"},"schema_version":"1.0","source":{"id":"2202.04805","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2202.04805","created_at":"2026-07-05T05:30:42Z"},{"alias_kind":"arxiv_version","alias_value":"2202.04805v2","created_at":"2026-07-05T05:30:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2202.04805","created_at":"2026-07-05T05:30:42Z"},{"alias_kind":"pith_short_12","alias_value":"PICBPEJXZL5T","created_at":"2026-07-05T05:30:42Z"},{"alias_kind":"pith_short_16","alias_value":"PICBPEJXZL5TSE4V","created_at":"2026-07-05T05:30:42Z"},{"alias_kind":"pith_short_8","alias_value":"PICBPEJX","created_at":"2026-07-05T05:30:42Z"}],"graph_snapshots":[{"event_id":"sha256:2eb11d0f9b2175f2261f634fd4685d29515638af4f4b734cfb08c68e88c2aee2","target":"graph","created_at":"2026-07-05T05:30:42Z","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/2202.04805/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Hyperdimensional computing (HDC) is an emerging learning paradigm that computes with high dimensional binary vectors. It is attractive because of its energy efficiency and low latency, especially on emerging hardware -- but HDC suffers from low model accuracy, with little theoretical understanding of what limits its performance. We propose a new theoretical analysis of the limits of HDC via a consideration of what similarity matrices can be \"expressed\" by binary vectors, and we show how the limits of HDC can be approached using random Fourier features (RFF). We extend our analysis to the more ","authors_text":"Christopher De Sa, Tao Yu, Yichi Zhang, Zhiru Zhang","cross_cats":["cs.DC","cs.NE"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2022-02-10T02:38:56Z","title":"Understanding Hyperdimensional Computing for Parallel Single-Pass Learning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2202.04805","kind":"arxiv","version":2},"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":"sha256:35c60361a32ab541f2fbe5ce6bc21ea99780a1536c8a24b39fc4ea82cc8e8793","target":"record","created_at":"2026-07-05T05:30:42Z","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":"d05027d0fe5ab7316dcf58bedb0a2acdd1b66bde47916c00d0ab5f53b26a2ad2","cross_cats_sorted":["cs.DC","cs.NE"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2022-02-10T02:38:56Z","title_canon_sha256":"a47394783228ce8f50a00dac3f78a536fc12f86aa8c1bb3155b685a45544cc0a"},"schema_version":"1.0","source":{"id":"2202.04805","kind":"arxiv","version":2}},"canonical_sha256":"7a04179137cafb391395f5a2d283e0837659a3a47b5c13579838cf539d596d2f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7a04179137cafb391395f5a2d283e0837659a3a47b5c13579838cf539d596d2f","first_computed_at":"2026-07-05T05:30:42.160607Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:30:42.160607Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"707bHnBcGkxJpfX+aC+qyC2ixuKg7TLzjkkIll1+NLPdiTSUpr0DG1XMEAfL8PsY4teqBsZcJz33XfI2wecJCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T05:30:42.161099Z","signed_message":"canonical_sha256_bytes"},"source_id":"2202.04805","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:35c60361a32ab541f2fbe5ce6bc21ea99780a1536c8a24b39fc4ea82cc8e8793","sha256:2eb11d0f9b2175f2261f634fd4685d29515638af4f4b734cfb08c68e88c2aee2"],"state_sha256":"b16f3d1514fef6c91c08c0a502ed8428591699a023228ac232c04fdd99913f81"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m6xD2c1T4oqnvptNPL0DCGwDv/BG0T0LpSuXlHEW5zjd/bfjGZ8dlq9yPjHrFFX8jl6ybDQZffg/aV9K3fdHBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T11:34:10.372194Z","bundle_sha256":"3a507a3d99a25843c5f1dcf8cb0b5931dadb556e67db2705c26f9b7deb40ca1f"}}