{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:VORCYUMHFQ4BX2H4MGAAQBGGDE","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":"26c160f094dc2a0dd4338fc17d4e0c261b10e6f001ab7a76e07a957ef6de03c3","cross_cats_sorted":["cs.AI","cs.CC","cs.CL"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-03-14T06:01:42Z","title_canon_sha256":"2726b65800a5902a63e6ac4dc6d1633b047738ab44ea374d3739a18a5a9c44d0"},"schema_version":"1.0","source":{"id":"2503.11108","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.11108","created_at":"2026-07-05T10:40:18Z"},{"alias_kind":"arxiv_version","alias_value":"2503.11108v2","created_at":"2026-07-05T10:40:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.11108","created_at":"2026-07-05T10:40:18Z"},{"alias_kind":"pith_short_12","alias_value":"VORCYUMHFQ4B","created_at":"2026-07-05T10:40:18Z"},{"alias_kind":"pith_short_16","alias_value":"VORCYUMHFQ4BX2H4","created_at":"2026-07-05T10:40:18Z"},{"alias_kind":"pith_short_8","alias_value":"VORCYUMH","created_at":"2026-07-05T10:40:18Z"}],"graph_snapshots":[{"event_id":"sha256:9f1e977dc1b05a38230a7e0c3b420e9a9e8d0c6c432d38fd5bb9c23b36f7d7b4","target":"graph","created_at":"2026-07-05T10:40:18Z","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/2503.11108/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The key-value (KV) cache in the tensor version of transformers presents a significant bottleneck during inference. While previous work analyzes the fundamental space complexity barriers in standard attention mechanisms [Haris and Onak, 2025], our work generalizes the space complexity barriers result to tensor attention version. Our theoretical contributions rely on a reduction from communication complexity and deduce the memory lower bound for tensor-structured attention mechanisms when $d = \\Omega(\\log n)$. Furthermore, we introduce two types of tensor attention cache and present a trade-off ","authors_text":"Xiaoyu Li, Yifang Chen, Yingyu Liang, Yu Tian, Zhao Song, Zhenmei Shi","cross_cats":["cs.AI","cs.CC","cs.CL"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-03-14T06:01:42Z","title":"Time and Memory Trade-off of KV-Cache Compression in Tensor Transformer Decoding"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.11108","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":"sha256:6aadc08b1b7c9e935203c3eef5890e272f30122a9b018bec8633dc67e4b21eba","target":"record","created_at":"2026-07-05T10:40:18Z","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":"26c160f094dc2a0dd4338fc17d4e0c261b10e6f001ab7a76e07a957ef6de03c3","cross_cats_sorted":["cs.AI","cs.CC","cs.CL"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-03-14T06:01:42Z","title_canon_sha256":"2726b65800a5902a63e6ac4dc6d1633b047738ab44ea374d3739a18a5a9c44d0"},"schema_version":"1.0","source":{"id":"2503.11108","kind":"arxiv","version":2}},"canonical_sha256":"aba22c51872c381be8fc61800804c6192b40299700abbcd45f0cb3737ff4491d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aba22c51872c381be8fc61800804c6192b40299700abbcd45f0cb3737ff4491d","first_computed_at":"2026-07-05T10:40:18.091346Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:40:18.091346Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ljZtlxtAvR0p2mNi0ciJ6THKEqANqSyJ3KOjLVUS0+ZUQ0ZBZbGYpfuPLnC3N6jr4jmuZFWVeeU0PA3/w0tIBw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:40:18.091839Z","signed_message":"canonical_sha256_bytes"},"source_id":"2503.11108","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6aadc08b1b7c9e935203c3eef5890e272f30122a9b018bec8633dc67e4b21eba","sha256:9f1e977dc1b05a38230a7e0c3b420e9a9e8d0c6c432d38fd5bb9c23b36f7d7b4"],"state_sha256":"af470f151a6509723b9fb4c133c8e309cde594db348b62256a27c6c1328c25d7"}