{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:ENMAAZQAR6R4ME2Y7GXDUU63T6","short_pith_number":"pith:ENMAAZQA","canonical_record":{"source":{"id":"2103.05030","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PL","submitted_at":"2021-03-08T19:39:13Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"56635e06d0f6f4c348a5bcfbf6fb5be1de68560ab977b1cf19cd41bf09bdd4e3","abstract_canon_sha256":"a9d49426c2b59b338d051e9f117263d5c3eaf17cda566f887f4ba746f8f1a1c5"},"schema_version":"1.0"},"canonical_sha256":"23580066008fa3c61358f9ae3a53db9f9b2d3ac1ac3136b080be256cca343967","source":{"kind":"arxiv","id":"2103.05030","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2103.05030","created_at":"2026-07-05T02:35:53Z"},{"alias_kind":"arxiv_version","alias_value":"2103.05030v4","created_at":"2026-07-05T02:35:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.05030","created_at":"2026-07-05T02:35:53Z"},{"alias_kind":"pith_short_12","alias_value":"ENMAAZQAR6R4","created_at":"2026-07-05T02:35:53Z"},{"alias_kind":"pith_short_16","alias_value":"ENMAAZQAR6R4ME2Y","created_at":"2026-07-05T02:35:53Z"},{"alias_kind":"pith_short_8","alias_value":"ENMAAZQA","created_at":"2026-07-05T02:35:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:ENMAAZQAR6R4ME2Y7GXDUU63T6","target":"record","payload":{"canonical_record":{"source":{"id":"2103.05030","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PL","submitted_at":"2021-03-08T19:39:13Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"56635e06d0f6f4c348a5bcfbf6fb5be1de68560ab977b1cf19cd41bf09bdd4e3","abstract_canon_sha256":"a9d49426c2b59b338d051e9f117263d5c3eaf17cda566f887f4ba746f8f1a1c5"},"schema_version":"1.0"},"canonical_sha256":"23580066008fa3c61358f9ae3a53db9f9b2d3ac1ac3136b080be256cca343967","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:35:53.549569Z","signature_b64":"l37OylGQ1nWQ0AgyoHmr7y7yMN/vuboVqUIALLbrg1TBTCVI0I1+ipOFA9W/siGMgpqbLX2pg23Oi346uZ/fBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"23580066008fa3c61358f9ae3a53db9f9b2d3ac1ac3136b080be256cca343967","last_reissued_at":"2026-07-05T02:35:53.549119Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:35:53.549119Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2103.05030","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T02:35:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gLYP36uebmHU9OsLhTZomW/jIsq/Bvw3oDzGbPTbuGcbj4lfk+hkjGBxIci4pxTtfRGj73lWSd+I/wIIrlDRCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T07:34:17.078947Z"},"content_sha256":"730077e39d6c8701b1363d7ac647710cc423618dd010e5c4007f79d1cf175ce6","schema_version":"1.0","event_id":"sha256:730077e39d6c8701b1363d7ac647710cc423618dd010e5c4007f79d1cf175ce6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:ENMAAZQAR6R4ME2Y7GXDUU63T6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Program Synthesis Over Noisy Data with Guarantees","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG"],"primary_cat":"cs.PL","authors_text":"Martin Rinard, Shivam Handa","submitted_at":"2021-03-08T19:39:13Z","abstract_excerpt":"We explore and formalize the task of synthesizing programs over noisy data, i.e., data that may contain corrupted input-output examples. By formalizing the concept of a Noise Source, an Input Source, and a prior distribution over programs, we formalize the probabilistic process which constructs a noisy dataset. This formalism allows us to define the correctness of a synthesis algorithm, in terms of its ability to synthesize the hidden underlying program. The probability of a synthesis algorithm being correct depends upon the match between the Noise Source and the Loss Function used in the synt"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.05030","kind":"arxiv","version":4},"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/2103.05030/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":"2026-07-05T02:35:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3Fi9QCyomEEelJldVwtzWHFXofC35xDxEcVR8sv3kplg29be1vSt+REyANpesG1bLT63lkwmRxCw1YY7bnBKAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T07:34:17.079784Z"},"content_sha256":"360aa1e58d8b418d9bf4d7cd1597b2fe7a11c4a7ec9790910eee2e222262c6f4","schema_version":"1.0","event_id":"sha256:360aa1e58d8b418d9bf4d7cd1597b2fe7a11c4a7ec9790910eee2e222262c6f4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ENMAAZQAR6R4ME2Y7GXDUU63T6/bundle.json","state_url":"https://pith.science/pith/ENMAAZQAR6R4ME2Y7GXDUU63T6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ENMAAZQAR6R4ME2Y7GXDUU63T6/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":"2026-08-01T07:34:17Z","links":{"resolver":"https://pith.science/pith/ENMAAZQAR6R4ME2Y7GXDUU63T6","bundle":"https://pith.science/pith/ENMAAZQAR6R4ME2Y7GXDUU63T6/bundle.json","state":"https://pith.science/pith/ENMAAZQAR6R4ME2Y7GXDUU63T6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ENMAAZQAR6R4ME2Y7GXDUU63T6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:ENMAAZQAR6R4ME2Y7GXDUU63T6","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":"a9d49426c2b59b338d051e9f117263d5c3eaf17cda566f887f4ba746f8f1a1c5","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PL","submitted_at":"2021-03-08T19:39:13Z","title_canon_sha256":"56635e06d0f6f4c348a5bcfbf6fb5be1de68560ab977b1cf19cd41bf09bdd4e3"},"schema_version":"1.0","source":{"id":"2103.05030","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2103.05030","created_at":"2026-07-05T02:35:53Z"},{"alias_kind":"arxiv_version","alias_value":"2103.05030v4","created_at":"2026-07-05T02:35:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.05030","created_at":"2026-07-05T02:35:53Z"},{"alias_kind":"pith_short_12","alias_value":"ENMAAZQAR6R4","created_at":"2026-07-05T02:35:53Z"},{"alias_kind":"pith_short_16","alias_value":"ENMAAZQAR6R4ME2Y","created_at":"2026-07-05T02:35:53Z"},{"alias_kind":"pith_short_8","alias_value":"ENMAAZQA","created_at":"2026-07-05T02:35:53Z"}],"graph_snapshots":[{"event_id":"sha256:360aa1e58d8b418d9bf4d7cd1597b2fe7a11c4a7ec9790910eee2e222262c6f4","target":"graph","created_at":"2026-07-05T02:35:53Z","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/2103.05030/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We explore and formalize the task of synthesizing programs over noisy data, i.e., data that may contain corrupted input-output examples. By formalizing the concept of a Noise Source, an Input Source, and a prior distribution over programs, we formalize the probabilistic process which constructs a noisy dataset. This formalism allows us to define the correctness of a synthesis algorithm, in terms of its ability to synthesize the hidden underlying program. The probability of a synthesis algorithm being correct depends upon the match between the Noise Source and the Loss Function used in the synt","authors_text":"Martin Rinard, Shivam Handa","cross_cats":["cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PL","submitted_at":"2021-03-08T19:39:13Z","title":"Program Synthesis Over Noisy Data with Guarantees"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.05030","kind":"arxiv","version":4},"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":"sha256:730077e39d6c8701b1363d7ac647710cc423618dd010e5c4007f79d1cf175ce6","target":"record","created_at":"2026-07-05T02:35:53Z","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":"a9d49426c2b59b338d051e9f117263d5c3eaf17cda566f887f4ba746f8f1a1c5","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PL","submitted_at":"2021-03-08T19:39:13Z","title_canon_sha256":"56635e06d0f6f4c348a5bcfbf6fb5be1de68560ab977b1cf19cd41bf09bdd4e3"},"schema_version":"1.0","source":{"id":"2103.05030","kind":"arxiv","version":4}},"canonical_sha256":"23580066008fa3c61358f9ae3a53db9f9b2d3ac1ac3136b080be256cca343967","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"23580066008fa3c61358f9ae3a53db9f9b2d3ac1ac3136b080be256cca343967","first_computed_at":"2026-07-05T02:35:53.549119Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:35:53.549119Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"l37OylGQ1nWQ0AgyoHmr7y7yMN/vuboVqUIALLbrg1TBTCVI0I1+ipOFA9W/siGMgpqbLX2pg23Oi346uZ/fBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:35:53.549569Z","signed_message":"canonical_sha256_bytes"},"source_id":"2103.05030","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:730077e39d6c8701b1363d7ac647710cc423618dd010e5c4007f79d1cf175ce6","sha256:360aa1e58d8b418d9bf4d7cd1597b2fe7a11c4a7ec9790910eee2e222262c6f4"],"state_sha256":"4b4c89f6e0fe93226a9c5f2010ce58ae4fa3e1bb5d2e3f7b6e7864fa3842ff8e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5siQi8Iz1ZROS8bWXHG0rddMRyZM+HAUH0AoED4eJN2IUip6J3F2RSoOBwRYE0Y1UpOR7FE2JU6EnCQgG9KWAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-01T07:34:17.084357Z","bundle_sha256":"d148b82bdaccbf5ddd26afcaa6013653f08cc9a78b945b37c1e7c46e8886157c"}}