{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:AZA3F3OLD4GNT7XRTBQDBCTZLJ","short_pith_number":"pith:AZA3F3OL","canonical_record":{"source":{"id":"2409.17308","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-09-25T19:35:58Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"af8662f4bdfef94b4d8822027e30a7242797fab949bdf45a98e4cbc27ffa487d","abstract_canon_sha256":"6bb603406a2fbd47d9e9a7db0c055824c6bde6d4f0eafc620f9f996342df077f"},"schema_version":"1.0"},"canonical_sha256":"0641b2edcb1f0cd9fef19860308a795a6cf13b7c209e9f699d3bf3d8a29e0197","source":{"kind":"arxiv","id":"2409.17308","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.17308","created_at":"2026-07-05T10:02:06Z"},{"alias_kind":"arxiv_version","alias_value":"2409.17308v2","created_at":"2026-07-05T10:02:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.17308","created_at":"2026-07-05T10:02:06Z"},{"alias_kind":"pith_short_12","alias_value":"AZA3F3OLD4GN","created_at":"2026-07-05T10:02:06Z"},{"alias_kind":"pith_short_16","alias_value":"AZA3F3OLD4GNT7XR","created_at":"2026-07-05T10:02:06Z"},{"alias_kind":"pith_short_8","alias_value":"AZA3F3OL","created_at":"2026-07-05T10:02:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:AZA3F3OLD4GNT7XRTBQDBCTZLJ","target":"record","payload":{"canonical_record":{"source":{"id":"2409.17308","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-09-25T19:35:58Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"af8662f4bdfef94b4d8822027e30a7242797fab949bdf45a98e4cbc27ffa487d","abstract_canon_sha256":"6bb603406a2fbd47d9e9a7db0c055824c6bde6d4f0eafc620f9f996342df077f"},"schema_version":"1.0"},"canonical_sha256":"0641b2edcb1f0cd9fef19860308a795a6cf13b7c209e9f699d3bf3d8a29e0197","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:02:06.706671Z","signature_b64":"6pyfrXJ03QfNraQJmuXVDwKfD6aYa6ZZ4XWOt6nJogGOScJrSr+ADqAxabrQZe1yJf2DVOtavJJwryfZWcf1DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0641b2edcb1f0cd9fef19860308a795a6cf13b7c209e9f699d3bf3d8a29e0197","last_reissued_at":"2026-07-05T10:02:06.706100Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:02:06.706100Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2409.17308","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":"2026-07-05T10:02:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"weE7TZm5NkWKORwK2axvFkdOZenAHlukDMlTP167OI8dtnmcj2OiCKezTvgT4nxRCa5a4IQdRxMGEsX0PkqUCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T20:48:08.730902Z"},"content_sha256":"dcaf69b15a1c2b3916ea78e99b23e1947840be48ae25263346a928135f2d4ba1","schema_version":"1.0","event_id":"sha256:dcaf69b15a1c2b3916ea78e99b23e1947840be48ae25263346a928135f2d4ba1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:AZA3F3OLD4GNT7XRTBQDBCTZLJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Consistent estimation of generative model representations in the data kernel perspective space","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.ST","stat.TH"],"primary_cat":"cs.LG","authors_text":"Aranyak Acharyya, Carey E. Priebe, Hayden S. Helm, Michael W. Trosset","submitted_at":"2024-09-25T19:35:58Z","abstract_excerpt":"Generative models, such as large language models and text-to-image diffusion models, produce relevant information when presented a query. Different models may produce different information when presented the same query. As the landscape of generative models evolves, it is important to develop techniques to study and analyze differences in model behaviour. In this paper we present novel theoretical results for embedding-based representations of generative models in the context of a set of queries. In particular, we establish sufficient conditions for the consistent estimation of the model embed"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.17308","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/2409.17308/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":"2026-07-05T10:02:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Mn98/CMeemgcakP8ot5BjBQ7kvaJ4ssJObTa8ubvX9gBZGqHZeD0B9hYwoWGQDTg5fOCcrVd2Tn42RZZ0dHSDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T20:48:08.731283Z"},"content_sha256":"52256a2804e9a4d06f8bec33cbfec877cd60ebbc79e528417fdc376eba3257c6","schema_version":"1.0","event_id":"sha256:52256a2804e9a4d06f8bec33cbfec877cd60ebbc79e528417fdc376eba3257c6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AZA3F3OLD4GNT7XRTBQDBCTZLJ/bundle.json","state_url":"https://pith.science/pith/AZA3F3OLD4GNT7XRTBQDBCTZLJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AZA3F3OLD4GNT7XRTBQDBCTZLJ/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":"2026-08-17T20:48:08Z","links":{"resolver":"https://pith.science/pith/AZA3F3OLD4GNT7XRTBQDBCTZLJ","bundle":"https://pith.science/pith/AZA3F3OLD4GNT7XRTBQDBCTZLJ/bundle.json","state":"https://pith.science/pith/AZA3F3OLD4GNT7XRTBQDBCTZLJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AZA3F3OLD4GNT7XRTBQDBCTZLJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:AZA3F3OLD4GNT7XRTBQDBCTZLJ","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":"6bb603406a2fbd47d9e9a7db0c055824c6bde6d4f0eafc620f9f996342df077f","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-09-25T19:35:58Z","title_canon_sha256":"af8662f4bdfef94b4d8822027e30a7242797fab949bdf45a98e4cbc27ffa487d"},"schema_version":"1.0","source":{"id":"2409.17308","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.17308","created_at":"2026-07-05T10:02:06Z"},{"alias_kind":"arxiv_version","alias_value":"2409.17308v2","created_at":"2026-07-05T10:02:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.17308","created_at":"2026-07-05T10:02:06Z"},{"alias_kind":"pith_short_12","alias_value":"AZA3F3OLD4GN","created_at":"2026-07-05T10:02:06Z"},{"alias_kind":"pith_short_16","alias_value":"AZA3F3OLD4GNT7XR","created_at":"2026-07-05T10:02:06Z"},{"alias_kind":"pith_short_8","alias_value":"AZA3F3OL","created_at":"2026-07-05T10:02:06Z"}],"graph_snapshots":[{"event_id":"sha256:52256a2804e9a4d06f8bec33cbfec877cd60ebbc79e528417fdc376eba3257c6","target":"graph","created_at":"2026-07-05T10:02:06Z","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/2409.17308/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Generative models, such as large language models and text-to-image diffusion models, produce relevant information when presented a query. Different models may produce different information when presented the same query. As the landscape of generative models evolves, it is important to develop techniques to study and analyze differences in model behaviour. In this paper we present novel theoretical results for embedding-based representations of generative models in the context of a set of queries. In particular, we establish sufficient conditions for the consistent estimation of the model embed","authors_text":"Aranyak Acharyya, Carey E. Priebe, Hayden S. Helm, Michael W. Trosset","cross_cats":["math.ST","stat.TH"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-09-25T19:35:58Z","title":"Consistent estimation of generative model representations in the data kernel perspective space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.17308","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:dcaf69b15a1c2b3916ea78e99b23e1947840be48ae25263346a928135f2d4ba1","target":"record","created_at":"2026-07-05T10:02:06Z","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":"6bb603406a2fbd47d9e9a7db0c055824c6bde6d4f0eafc620f9f996342df077f","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-09-25T19:35:58Z","title_canon_sha256":"af8662f4bdfef94b4d8822027e30a7242797fab949bdf45a98e4cbc27ffa487d"},"schema_version":"1.0","source":{"id":"2409.17308","kind":"arxiv","version":2}},"canonical_sha256":"0641b2edcb1f0cd9fef19860308a795a6cf13b7c209e9f699d3bf3d8a29e0197","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0641b2edcb1f0cd9fef19860308a795a6cf13b7c209e9f699d3bf3d8a29e0197","first_computed_at":"2026-07-05T10:02:06.706100Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:02:06.706100Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6pyfrXJ03QfNraQJmuXVDwKfD6aYa6ZZ4XWOt6nJogGOScJrSr+ADqAxabrQZe1yJf2DVOtavJJwryfZWcf1DA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:02:06.706671Z","signed_message":"canonical_sha256_bytes"},"source_id":"2409.17308","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dcaf69b15a1c2b3916ea78e99b23e1947840be48ae25263346a928135f2d4ba1","sha256:52256a2804e9a4d06f8bec33cbfec877cd60ebbc79e528417fdc376eba3257c6"],"state_sha256":"acab677e5e87c0d636524334b475bdb49de5d01facdb9e1370eeb082b0f00716"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8E819exL/nFCBFfag3ML7hs4jQQ1hoFcZk/iH0rpPcb66Q1XMWqKMDubLpuIt0YSko22efZt/93lBaHWWQceCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T20:48:08.733665Z","bundle_sha256":"8fe4eeffc65132fd50b485396e1d5bbd6cab982f738bc076e1fb2f8c51a6924b"}}