{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:VORCYUMHFQ4BX2H4MGAAQBGGDE","short_pith_number":"pith:VORCYUMH","canonical_record":{"source":{"id":"2503.11108","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-03-14T06:01:42Z","cross_cats_sorted":["cs.AI","cs.CC","cs.CL"],"title_canon_sha256":"2726b65800a5902a63e6ac4dc6d1633b047738ab44ea374d3739a18a5a9c44d0","abstract_canon_sha256":"26c160f094dc2a0dd4338fc17d4e0c261b10e6f001ab7a76e07a957ef6de03c3"},"schema_version":"1.0"},"canonical_sha256":"aba22c51872c381be8fc61800804c6192b40299700abbcd45f0cb3737ff4491d","source":{"kind":"arxiv","id":"2503.11108","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:VORCYUMHFQ4BX2H4MGAAQBGGDE","target":"record","payload":{"canonical_record":{"source":{"id":"2503.11108","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-03-14T06:01:42Z","cross_cats_sorted":["cs.AI","cs.CC","cs.CL"],"title_canon_sha256":"2726b65800a5902a63e6ac4dc6d1633b047738ab44ea374d3739a18a5a9c44d0","abstract_canon_sha256":"26c160f094dc2a0dd4338fc17d4e0c261b10e6f001ab7a76e07a957ef6de03c3"},"schema_version":"1.0"},"canonical_sha256":"aba22c51872c381be8fc61800804c6192b40299700abbcd45f0cb3737ff4491d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:40:18.091839Z","signature_b64":"ljZtlxtAvR0p2mNi0ciJ6THKEqANqSyJ3KOjLVUS0+ZUQ0ZBZbGYpfuPLnC3N6jr4jmuZFWVeeU0PA3/w0tIBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aba22c51872c381be8fc61800804c6192b40299700abbcd45f0cb3737ff4491d","last_reissued_at":"2026-07-05T10:40:18.091346Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:40:18.091346Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2503.11108","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":"2026-07-05T10:40:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ClOKDpNKXIt43pmvKu5nlI40XrgVz5tMhOisarbrX81hqu/obr+luZ5swFWxQkTfOhjmjI0dMi+rxpnamkqrAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T11:26:23.158981Z"},"content_sha256":"6aadc08b1b7c9e935203c3eef5890e272f30122a9b018bec8633dc67e4b21eba","schema_version":"1.0","event_id":"sha256:6aadc08b1b7c9e935203c3eef5890e272f30122a9b018bec8633dc67e4b21eba"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:VORCYUMHFQ4BX2H4MGAAQBGGDE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Time and Memory Trade-off of KV-Cache Compression in Tensor Transformer Decoding","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.AI","cs.CC","cs.CL"],"primary_cat":"cs.LG","authors_text":"Xiaoyu Li, Yifang Chen, Yingyu Liang, Yu Tian, Zhao Song, Zhenmei Shi","submitted_at":"2025-03-14T06:01:42Z","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 "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.11108","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/2503.11108/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":"2026-07-05T10:40:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QKx9ALW1bRZdIQdA9EFmJ1dMHdfR/BN7xxp1HRCx6BPohFbRaczai9BaW482ubHh2SVbb+bi+vkPjAwvKGhXDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T11:26:23.159472Z"},"content_sha256":"9f1e977dc1b05a38230a7e0c3b420e9a9e8d0c6c432d38fd5bb9c23b36f7d7b4","schema_version":"1.0","event_id":"sha256:9f1e977dc1b05a38230a7e0c3b420e9a9e8d0c6c432d38fd5bb9c23b36f7d7b4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VORCYUMHFQ4BX2H4MGAAQBGGDE/bundle.json","state_url":"https://pith.science/pith/VORCYUMHFQ4BX2H4MGAAQBGGDE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VORCYUMHFQ4BX2H4MGAAQBGGDE/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":"2026-08-09T11:26:23Z","links":{"resolver":"https://pith.science/pith/VORCYUMHFQ4BX2H4MGAAQBGGDE","bundle":"https://pith.science/pith/VORCYUMHFQ4BX2H4MGAAQBGGDE/bundle.json","state":"https://pith.science/pith/VORCYUMHFQ4BX2H4MGAAQBGGDE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VORCYUMHFQ4BX2H4MGAAQBGGDE/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e1GxAQ4YjzkWMB1x+VfYuKgFE3FbajtYZlCBWziI7rJg/k01zMXiEE8OwPAFAxTSgkVX7+K/Zz0GNhlfbZtgBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T11:26:23.163239Z","bundle_sha256":"29b91c58c00a199bfdfafed73c856f404e7cc3deb332c4ecfb2450740b36f769"}}