{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:RSYYELDPPGB4A6VX5KG6FLR6ZP","short_pith_number":"pith:RSYYELDP","canonical_record":{"source":{"id":"2410.13714","kind":"arxiv","version":5},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-10-17T16:14:49Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"d6f9f3f3af5c8501ce6dba7973f5cebf4ec4f4961882039a79cd16f152082df9","abstract_canon_sha256":"137b5ee6068d02d0993a12a1c8b7bb80ac81ddd7e1c1e9fa23ef8fdafcfc3814"},"schema_version":"1.0"},"canonical_sha256":"8cb1822c6f7983c07ab7ea8de2ae3ecbe5c87f6763a8b504edcbf0924774d1ee","source":{"kind":"arxiv","id":"2410.13714","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.13714","created_at":"2026-07-05T09:54:29Z"},{"alias_kind":"arxiv_version","alias_value":"2410.13714v5","created_at":"2026-07-05T09:54:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.13714","created_at":"2026-07-05T09:54:29Z"},{"alias_kind":"pith_short_12","alias_value":"RSYYELDPPGB4","created_at":"2026-07-05T09:54:29Z"},{"alias_kind":"pith_short_16","alias_value":"RSYYELDPPGB4A6VX","created_at":"2026-07-05T09:54:29Z"},{"alias_kind":"pith_short_8","alias_value":"RSYYELDP","created_at":"2026-07-05T09:54:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:RSYYELDPPGB4A6VX5KG6FLR6ZP","target":"record","payload":{"canonical_record":{"source":{"id":"2410.13714","kind":"arxiv","version":5},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-10-17T16:14:49Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"d6f9f3f3af5c8501ce6dba7973f5cebf4ec4f4961882039a79cd16f152082df9","abstract_canon_sha256":"137b5ee6068d02d0993a12a1c8b7bb80ac81ddd7e1c1e9fa23ef8fdafcfc3814"},"schema_version":"1.0"},"canonical_sha256":"8cb1822c6f7983c07ab7ea8de2ae3ecbe5c87f6763a8b504edcbf0924774d1ee","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:54:29.319551Z","signature_b64":"e2hs5Dm9CUEyy/4L6/k1q64KDradl18U3EzXOtfiriFNAmU9M747itaKQEzz6FSVZ1vZ8PWp5nosAbVjCm0VCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8cb1822c6f7983c07ab7ea8de2ae3ecbe5c87f6763a8b504edcbf0924774d1ee","last_reissued_at":"2026-07-05T09:54:29.319022Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:54:29.319022Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2410.13714","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:54:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"klvtqf6hErwYt3oqTAstHl5kHjiYNzqPlwQZyCBsKLtsimtecfhP/jFA0i75X4FZVHqvFfJRGfOw4V3xyv4ADA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T16:23:34.150379Z"},"content_sha256":"2a9f7eef585337ba015300e82a39e0b339a3866fb347bda77847520e49e063e4","schema_version":"1.0","event_id":"sha256:2a9f7eef585337ba015300e82a39e0b339a3866fb347bda77847520e49e063e4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:RSYYELDPPGB4A6VX5KG6FLR6ZP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generation through the lens of learning theory","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["stat.ML"],"primary_cat":"cs.LG","authors_text":"Ambuj Tewari, Jiaxun Li, Vinod Raman","submitted_at":"2024-10-17T16:14:49Z","abstract_excerpt":"We study generation through the lens of statistical learning theory. First, we abstract and formalize the results of Gold [1967], Angluin [1979], Angluin [1980] and Kleinberg and Mullainathan [2024] in terms of a binary hypothesis class defined over an abstract example space. Then, we extend the notion of \"generation\" from Kleinberg and Mullainathan [2024] to two new settings, we call \"uniform\" and \"non-uniform\" generation, and provide a characterization of which hypothesis classes are uniformly and non-uniformly generatable. As is standard in learning theory, our characterizations are in term"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.13714","kind":"arxiv","version":5},"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/2410.13714/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":"2026-07-05T09:54:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UAjebgUuwzSK/ZN5wUhkDMwTBvoPLkjQQarKhNdYa/W/28YEHW7XhOahP/qHbmhu6Aln8ehsi+3J/4JD8+zfCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T16:23:34.150920Z"},"content_sha256":"deafe174867e0e0516a911d4a96843a6bb6448fe6570b52b979e8f26b327bd65","schema_version":"1.0","event_id":"sha256:deafe174867e0e0516a911d4a96843a6bb6448fe6570b52b979e8f26b327bd65"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RSYYELDPPGB4A6VX5KG6FLR6ZP/bundle.json","state_url":"https://pith.science/pith/RSYYELDPPGB4A6VX5KG6FLR6ZP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RSYYELDPPGB4A6VX5KG6FLR6ZP/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":"2026-08-08T16:23:34Z","links":{"resolver":"https://pith.science/pith/RSYYELDPPGB4A6VX5KG6FLR6ZP","bundle":"https://pith.science/pith/RSYYELDPPGB4A6VX5KG6FLR6ZP/bundle.json","state":"https://pith.science/pith/RSYYELDPPGB4A6VX5KG6FLR6ZP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RSYYELDPPGB4A6VX5KG6FLR6ZP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:RSYYELDPPGB4A6VX5KG6FLR6ZP","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":"137b5ee6068d02d0993a12a1c8b7bb80ac81ddd7e1c1e9fa23ef8fdafcfc3814","cross_cats_sorted":["stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-10-17T16:14:49Z","title_canon_sha256":"d6f9f3f3af5c8501ce6dba7973f5cebf4ec4f4961882039a79cd16f152082df9"},"schema_version":"1.0","source":{"id":"2410.13714","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.13714","created_at":"2026-07-05T09:54:29Z"},{"alias_kind":"arxiv_version","alias_value":"2410.13714v5","created_at":"2026-07-05T09:54:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.13714","created_at":"2026-07-05T09:54:29Z"},{"alias_kind":"pith_short_12","alias_value":"RSYYELDPPGB4","created_at":"2026-07-05T09:54:29Z"},{"alias_kind":"pith_short_16","alias_value":"RSYYELDPPGB4A6VX","created_at":"2026-07-05T09:54:29Z"},{"alias_kind":"pith_short_8","alias_value":"RSYYELDP","created_at":"2026-07-05T09:54:29Z"}],"graph_snapshots":[{"event_id":"sha256:deafe174867e0e0516a911d4a96843a6bb6448fe6570b52b979e8f26b327bd65","target":"graph","created_at":"2026-07-05T09:54:29Z","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/2410.13714/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study generation through the lens of statistical learning theory. First, we abstract and formalize the results of Gold [1967], Angluin [1979], Angluin [1980] and Kleinberg and Mullainathan [2024] in terms of a binary hypothesis class defined over an abstract example space. Then, we extend the notion of \"generation\" from Kleinberg and Mullainathan [2024] to two new settings, we call \"uniform\" and \"non-uniform\" generation, and provide a characterization of which hypothesis classes are uniformly and non-uniformly generatable. As is standard in learning theory, our characterizations are in term","authors_text":"Ambuj Tewari, Jiaxun Li, Vinod Raman","cross_cats":["stat.ML"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-10-17T16:14:49Z","title":"Generation through the lens of learning theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.13714","kind":"arxiv","version":5},"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":"sha256:2a9f7eef585337ba015300e82a39e0b339a3866fb347bda77847520e49e063e4","target":"record","created_at":"2026-07-05T09:54:29Z","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":"137b5ee6068d02d0993a12a1c8b7bb80ac81ddd7e1c1e9fa23ef8fdafcfc3814","cross_cats_sorted":["stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-10-17T16:14:49Z","title_canon_sha256":"d6f9f3f3af5c8501ce6dba7973f5cebf4ec4f4961882039a79cd16f152082df9"},"schema_version":"1.0","source":{"id":"2410.13714","kind":"arxiv","version":5}},"canonical_sha256":"8cb1822c6f7983c07ab7ea8de2ae3ecbe5c87f6763a8b504edcbf0924774d1ee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8cb1822c6f7983c07ab7ea8de2ae3ecbe5c87f6763a8b504edcbf0924774d1ee","first_computed_at":"2026-07-05T09:54:29.319022Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:54:29.319022Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"e2hs5Dm9CUEyy/4L6/k1q64KDradl18U3EzXOtfiriFNAmU9M747itaKQEzz6FSVZ1vZ8PWp5nosAbVjCm0VCw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:54:29.319551Z","signed_message":"canonical_sha256_bytes"},"source_id":"2410.13714","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2a9f7eef585337ba015300e82a39e0b339a3866fb347bda77847520e49e063e4","sha256:deafe174867e0e0516a911d4a96843a6bb6448fe6570b52b979e8f26b327bd65"],"state_sha256":"2ce5a493b5c2cf8f4ee448b9524557b51d2b41a8d4537dfcea6da4f78409aa88"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ukU3RGNoqnNtqwO+WtGcagnX8pHZEIQII+HwDtkpwo/cbNRLPFCp8BIKsJrXW3tRC7uOmVPUsE1aCLD4GXV7BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T16:23:34.160428Z","bundle_sha256":"b4eb9b802d82a54f00aa3c0cc2ecc91ebbca64a26613ad47784adfe775981d95"}}