{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:YME2XZVAAK7ZKVL2D2SNRA5EYL","short_pith_number":"pith:YME2XZVA","canonical_record":{"source":{"id":"2605.25085","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IT","submitted_at":"2026-05-24T13:54:13Z","cross_cats_sorted":["cs.AI","cs.LG","math.IT"],"title_canon_sha256":"517bf2fecb195e9b08f843354fbc66641bc3d56ad3be6d7518117367205ce0e8","abstract_canon_sha256":"350e1e2c2bbd2f03c7315fe75c86d43735d1bc70ff947001293859223d2e113d"},"schema_version":"1.0"},"canonical_sha256":"c309abe6a002bf95557a1ea4d883a4c2e1f18f4400854f630844f81c5076a8b2","source":{"kind":"arxiv","id":"2605.25085","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.25085","created_at":"2026-05-26T02:03:39Z"},{"alias_kind":"arxiv_version","alias_value":"2605.25085v1","created_at":"2026-05-26T02:03:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.25085","created_at":"2026-05-26T02:03:39Z"},{"alias_kind":"pith_short_12","alias_value":"YME2XZVAAK7Z","created_at":"2026-05-26T02:03:39Z"},{"alias_kind":"pith_short_16","alias_value":"YME2XZVAAK7ZKVL2","created_at":"2026-05-26T02:03:39Z"},{"alias_kind":"pith_short_8","alias_value":"YME2XZVA","created_at":"2026-05-26T02:03:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:YME2XZVAAK7ZKVL2D2SNRA5EYL","target":"record","payload":{"canonical_record":{"source":{"id":"2605.25085","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IT","submitted_at":"2026-05-24T13:54:13Z","cross_cats_sorted":["cs.AI","cs.LG","math.IT"],"title_canon_sha256":"517bf2fecb195e9b08f843354fbc66641bc3d56ad3be6d7518117367205ce0e8","abstract_canon_sha256":"350e1e2c2bbd2f03c7315fe75c86d43735d1bc70ff947001293859223d2e113d"},"schema_version":"1.0"},"canonical_sha256":"c309abe6a002bf95557a1ea4d883a4c2e1f18f4400854f630844f81c5076a8b2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-26T02:03:39.265748Z","signature_b64":"AzGAWgJnv96dk0qbmJpoArOJjUX1jaa6i69h6E2PVpIfzprbRWo1ImOblfvLG4dc+y4loTrz1cd5GmPBJnW5AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c309abe6a002bf95557a1ea4d883a4c2e1f18f4400854f630844f81c5076a8b2","last_reissued_at":"2026-05-26T02:03:39.265042Z","signature_status":"signed_v1","first_computed_at":"2026-05-26T02:03:39.265042Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.25085","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-26T02:03:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5XYpAOxVAM1DqaKdSTPiQ61eyUc0eosxZI3LedHkT7ksXyDqKayPUM1ySmiP5KffNTOgU4/vSYyBfyviiS1bBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T01:20:37.160282Z"},"content_sha256":"2f2da38c8202b9ed11125e18fc8e6cb895cd4d35a2b19ae2245b7cfc7ab3058b","schema_version":"1.0","event_id":"sha256:2f2da38c8202b9ed11125e18fc8e6cb895cd4d35a2b19ae2245b7cfc7ab3058b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:YME2XZVAAK7ZKVL2D2SNRA5EYL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Polynomial Context-Truncation Sensitivity in Autoregressive Language Models: Sequential Wyner-Ziv Bounds for KV Cache Compression","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.AI","cs.LG","math.IT"],"primary_cat":"cs.IT","authors_text":"Munsik Kim","submitted_at":"2026-05-24T13:54:13Z","abstract_excerpt":"We study the rate-distortion limits of online KV cache compression in autoregressive language models, formulating it as sequential Wyner-Ziv source coding on the filtration induced by the model, with the next-step query as decoder side information. Empirically, across four models spanning two families and $0.5$-$3$B parameters, we find that the next-token distribution's sensitivity to context truncation decays \\emph{polynomially} rather than \\emph{geometrically}: a power law improves on an exponential fit by an order of magnitude in extrapolation, the fitted exponent is recovered independently"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.25085","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/2605.25085/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":"2026-05-26T02:03:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kOoU2vVzIQhCGnNlbFtqzkoNR9TbFxP45R6Nw0OPdXHwHgCeRdEvUsDIdQoT+ucXTVa7V60wFxvdbM74Ql6CCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T01:20:37.160686Z"},"content_sha256":"381ac7ecf25eb88b7978262288ca4b293553891d3d97a9c097f714867fa63fe0","schema_version":"1.0","event_id":"sha256:381ac7ecf25eb88b7978262288ca4b293553891d3d97a9c097f714867fa63fe0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YME2XZVAAK7ZKVL2D2SNRA5EYL/bundle.json","state_url":"https://pith.science/pith/YME2XZVAAK7ZKVL2D2SNRA5EYL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YME2XZVAAK7ZKVL2D2SNRA5EYL/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":"2026-06-30T01:20:37Z","links":{"resolver":"https://pith.science/pith/YME2XZVAAK7ZKVL2D2SNRA5EYL","bundle":"https://pith.science/pith/YME2XZVAAK7ZKVL2D2SNRA5EYL/bundle.json","state":"https://pith.science/pith/YME2XZVAAK7ZKVL2D2SNRA5EYL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YME2XZVAAK7ZKVL2D2SNRA5EYL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:YME2XZVAAK7ZKVL2D2SNRA5EYL","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":"350e1e2c2bbd2f03c7315fe75c86d43735d1bc70ff947001293859223d2e113d","cross_cats_sorted":["cs.AI","cs.LG","math.IT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IT","submitted_at":"2026-05-24T13:54:13Z","title_canon_sha256":"517bf2fecb195e9b08f843354fbc66641bc3d56ad3be6d7518117367205ce0e8"},"schema_version":"1.0","source":{"id":"2605.25085","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.25085","created_at":"2026-05-26T02:03:39Z"},{"alias_kind":"arxiv_version","alias_value":"2605.25085v1","created_at":"2026-05-26T02:03:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.25085","created_at":"2026-05-26T02:03:39Z"},{"alias_kind":"pith_short_12","alias_value":"YME2XZVAAK7Z","created_at":"2026-05-26T02:03:39Z"},{"alias_kind":"pith_short_16","alias_value":"YME2XZVAAK7ZKVL2","created_at":"2026-05-26T02:03:39Z"},{"alias_kind":"pith_short_8","alias_value":"YME2XZVA","created_at":"2026-05-26T02:03:39Z"}],"graph_snapshots":[{"event_id":"sha256:381ac7ecf25eb88b7978262288ca4b293553891d3d97a9c097f714867fa63fe0","target":"graph","created_at":"2026-05-26T02:03:39Z","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/2605.25085/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the rate-distortion limits of online KV cache compression in autoregressive language models, formulating it as sequential Wyner-Ziv source coding on the filtration induced by the model, with the next-step query as decoder side information. Empirically, across four models spanning two families and $0.5$-$3$B parameters, we find that the next-token distribution's sensitivity to context truncation decays \\emph{polynomially} rather than \\emph{geometrically}: a power law improves on an exponential fit by an order of magnitude in extrapolation, the fitted exponent is recovered independently","authors_text":"Munsik Kim","cross_cats":["cs.AI","cs.LG","math.IT"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IT","submitted_at":"2026-05-24T13:54:13Z","title":"Polynomial Context-Truncation Sensitivity in Autoregressive Language Models: Sequential Wyner-Ziv Bounds for KV Cache Compression"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.25085","kind":"arxiv","version":1},"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":"sha256:2f2da38c8202b9ed11125e18fc8e6cb895cd4d35a2b19ae2245b7cfc7ab3058b","target":"record","created_at":"2026-05-26T02:03:39Z","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":"350e1e2c2bbd2f03c7315fe75c86d43735d1bc70ff947001293859223d2e113d","cross_cats_sorted":["cs.AI","cs.LG","math.IT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IT","submitted_at":"2026-05-24T13:54:13Z","title_canon_sha256":"517bf2fecb195e9b08f843354fbc66641bc3d56ad3be6d7518117367205ce0e8"},"schema_version":"1.0","source":{"id":"2605.25085","kind":"arxiv","version":1}},"canonical_sha256":"c309abe6a002bf95557a1ea4d883a4c2e1f18f4400854f630844f81c5076a8b2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c309abe6a002bf95557a1ea4d883a4c2e1f18f4400854f630844f81c5076a8b2","first_computed_at":"2026-05-26T02:03:39.265042Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-26T02:03:39.265042Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AzGAWgJnv96dk0qbmJpoArOJjUX1jaa6i69h6E2PVpIfzprbRWo1ImOblfvLG4dc+y4loTrz1cd5GmPBJnW5AQ==","signature_status":"signed_v1","signed_at":"2026-05-26T02:03:39.265748Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.25085","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2f2da38c8202b9ed11125e18fc8e6cb895cd4d35a2b19ae2245b7cfc7ab3058b","sha256:381ac7ecf25eb88b7978262288ca4b293553891d3d97a9c097f714867fa63fe0"],"state_sha256":"2428bdf0671f2006fb1f7d2b13892c45fd5d8f5e72f18fb0cdbfdb1505270143"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3P0YUqRX1WFiSH5iA0BXs7c60vmIku7ljgsgLGvoFL9W9f61O3tUEBhxC2oVlJe7TZPJBKlBRDn9KGHbVAAXDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T01:20:37.163049Z","bundle_sha256":"5e1749c34363f666ad171fed2687b2a9624ad93cadffc13f7266b9adc4e50dab"}}