{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:TJ4FJO7FSF47LYHRNIU2B2XKC2","short_pith_number":"pith:TJ4FJO7F","canonical_record":{"source":{"id":"2411.04990","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-11-07T18:56:37Z","cross_cats_sorted":["cs.AI","math.AP","math.DS"],"title_canon_sha256":"e348cf8c82d2dd360e883aecf8591248258589fbad76773afca5ef122e0d2c80","abstract_canon_sha256":"8f61529522885fdd36895167034abe01d8766d834e41a11454f09216522d8544"},"schema_version":"1.0"},"canonical_sha256":"9a7854bbe59179f5e0f16a29a0eaea16a110a59605d970a27934db5a53991d23","source":{"kind":"arxiv","id":"2411.04990","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.04990","created_at":"2026-07-05T09:33:40Z"},{"alias_kind":"arxiv_version","alias_value":"2411.04990v2","created_at":"2026-07-05T09:33:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.04990","created_at":"2026-07-05T09:33:40Z"},{"alias_kind":"pith_short_12","alias_value":"TJ4FJO7FSF47","created_at":"2026-07-05T09:33:40Z"},{"alias_kind":"pith_short_16","alias_value":"TJ4FJO7FSF47LYHR","created_at":"2026-07-05T09:33:40Z"},{"alias_kind":"pith_short_8","alias_value":"TJ4FJO7F","created_at":"2026-07-05T09:33:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:TJ4FJO7FSF47LYHRNIU2B2XKC2","target":"record","payload":{"canonical_record":{"source":{"id":"2411.04990","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-11-07T18:56:37Z","cross_cats_sorted":["cs.AI","math.AP","math.DS"],"title_canon_sha256":"e348cf8c82d2dd360e883aecf8591248258589fbad76773afca5ef122e0d2c80","abstract_canon_sha256":"8f61529522885fdd36895167034abe01d8766d834e41a11454f09216522d8544"},"schema_version":"1.0"},"canonical_sha256":"9a7854bbe59179f5e0f16a29a0eaea16a110a59605d970a27934db5a53991d23","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:33:40.926978Z","signature_b64":"RtHbLjg+aHtakId7oP6eqDka8QQ6BRlbjDaa4cd4iBM4K+43iOG6oTCV+fBIXGmxMbIUd+HWRO3M/5QOKx+tCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9a7854bbe59179f5e0f16a29a0eaea16a110a59605d970a27934db5a53991d23","last_reissued_at":"2026-07-05T09:33:40.925972Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:33:40.925972Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2411.04990","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":"2026-07-05T09:33:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XTyImWr3qxQz7tv1dXAD2MKhjFRGqst5jEsYUt73vdK9vXe2zZkit1Sl1784dQBDUTpcc4aDsx3N62uXwQaPDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T05:53:28.888302Z"},"content_sha256":"c66224fa7d1493df154f86bc6576f7c145af4c66ff502425b9d3b8f4fb7020d9","schema_version":"1.0","event_id":"sha256:c66224fa7d1493df154f86bc6576f7c145af4c66ff502425b9d3b8f4fb7020d9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:TJ4FJO7FSF47LYHRNIU2B2XKC2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Clustering in Causal Attention Masking","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.AI","math.AP","math.DS"],"primary_cat":"cs.LG","authors_text":"Nikita Karagodin, Philippe Rigollet, Yury Polyanskiy","submitted_at":"2024-11-07T18:56:37Z","abstract_excerpt":"This work presents a modification of the self-attention dynamics proposed by Geshkovski et al. (arXiv:2312.10794) to better reflect the practically relevant, causally masked attention used in transformer architectures for generative AI. This modification translates into an interacting particle system that cannot be interpreted as a mean-field gradient flow. Despite this loss of structure, we significantly strengthen the results of Geshkovski et al. (arXiv:2312.10794) in this context: While previous rigorous results focused on cases where all three matrices (Key, Query, and Value) were scaled i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.04990","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/2411.04990/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":"2026-07-05T09:33:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l2K+keFYRgqssh6HFTWS3h+I2Rgc+3DgeME0kU+dT11LVU1CobX7l0/IxgYanpScJamCqlJqkvQhDsf7iGfoDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T05:53:28.889355Z"},"content_sha256":"d74522dd5358e47dc5733a21dbc4a3851875df3b58006483ced07e559fef4d0d","schema_version":"1.0","event_id":"sha256:d74522dd5358e47dc5733a21dbc4a3851875df3b58006483ced07e559fef4d0d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TJ4FJO7FSF47LYHRNIU2B2XKC2/bundle.json","state_url":"https://pith.science/pith/TJ4FJO7FSF47LYHRNIU2B2XKC2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TJ4FJO7FSF47LYHRNIU2B2XKC2/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":"2026-08-23T05:53:28Z","links":{"resolver":"https://pith.science/pith/TJ4FJO7FSF47LYHRNIU2B2XKC2","bundle":"https://pith.science/pith/TJ4FJO7FSF47LYHRNIU2B2XKC2/bundle.json","state":"https://pith.science/pith/TJ4FJO7FSF47LYHRNIU2B2XKC2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TJ4FJO7FSF47LYHRNIU2B2XKC2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:TJ4FJO7FSF47LYHRNIU2B2XKC2","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":"8f61529522885fdd36895167034abe01d8766d834e41a11454f09216522d8544","cross_cats_sorted":["cs.AI","math.AP","math.DS"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-11-07T18:56:37Z","title_canon_sha256":"e348cf8c82d2dd360e883aecf8591248258589fbad76773afca5ef122e0d2c80"},"schema_version":"1.0","source":{"id":"2411.04990","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.04990","created_at":"2026-07-05T09:33:40Z"},{"alias_kind":"arxiv_version","alias_value":"2411.04990v2","created_at":"2026-07-05T09:33:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.04990","created_at":"2026-07-05T09:33:40Z"},{"alias_kind":"pith_short_12","alias_value":"TJ4FJO7FSF47","created_at":"2026-07-05T09:33:40Z"},{"alias_kind":"pith_short_16","alias_value":"TJ4FJO7FSF47LYHR","created_at":"2026-07-05T09:33:40Z"},{"alias_kind":"pith_short_8","alias_value":"TJ4FJO7F","created_at":"2026-07-05T09:33:40Z"}],"graph_snapshots":[{"event_id":"sha256:d74522dd5358e47dc5733a21dbc4a3851875df3b58006483ced07e559fef4d0d","target":"graph","created_at":"2026-07-05T09:33:40Z","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/2411.04990/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This work presents a modification of the self-attention dynamics proposed by Geshkovski et al. (arXiv:2312.10794) to better reflect the practically relevant, causally masked attention used in transformer architectures for generative AI. This modification translates into an interacting particle system that cannot be interpreted as a mean-field gradient flow. Despite this loss of structure, we significantly strengthen the results of Geshkovski et al. (arXiv:2312.10794) in this context: While previous rigorous results focused on cases where all three matrices (Key, Query, and Value) were scaled i","authors_text":"Nikita Karagodin, Philippe Rigollet, Yury Polyanskiy","cross_cats":["cs.AI","math.AP","math.DS"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-11-07T18:56:37Z","title":"Clustering in Causal Attention Masking"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.04990","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:c66224fa7d1493df154f86bc6576f7c145af4c66ff502425b9d3b8f4fb7020d9","target":"record","created_at":"2026-07-05T09:33:40Z","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":"8f61529522885fdd36895167034abe01d8766d834e41a11454f09216522d8544","cross_cats_sorted":["cs.AI","math.AP","math.DS"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-11-07T18:56:37Z","title_canon_sha256":"e348cf8c82d2dd360e883aecf8591248258589fbad76773afca5ef122e0d2c80"},"schema_version":"1.0","source":{"id":"2411.04990","kind":"arxiv","version":2}},"canonical_sha256":"9a7854bbe59179f5e0f16a29a0eaea16a110a59605d970a27934db5a53991d23","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9a7854bbe59179f5e0f16a29a0eaea16a110a59605d970a27934db5a53991d23","first_computed_at":"2026-07-05T09:33:40.925972Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:33:40.925972Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RtHbLjg+aHtakId7oP6eqDka8QQ6BRlbjDaa4cd4iBM4K+43iOG6oTCV+fBIXGmxMbIUd+HWRO3M/5QOKx+tCg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:33:40.926978Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.04990","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c66224fa7d1493df154f86bc6576f7c145af4c66ff502425b9d3b8f4fb7020d9","sha256:d74522dd5358e47dc5733a21dbc4a3851875df3b58006483ced07e559fef4d0d"],"state_sha256":"6b8f8c3df7cf9bc7ae1eaf1547a620f6be13fa3bf4c1af16c70943e28e1e08ac"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ebHEEPZuD+aDCPZdpElK79iUiOOoyL3jYvst4P/7Uu/Fs+1+lt/8shiVcNldC6RKNLXXctTiYp8ena657swMDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-23T05:53:28.894634Z","bundle_sha256":"d5582b74f2ff25953d51dd7165aecd7869d1f24b93484db8c3e74cf09eb5d335"}}