{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:NF7AO76EFUH4TEFG3BBAYTLMVU","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":"64c66b286f2210c5b9ff1a58581b402b442f53f0d129398e422599f705496a83","cross_cats_sorted":["cs.PL"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-01T07:38:35Z","title_canon_sha256":"7ff1d5957bb611b9c1cd1a20eede5e8982944f131fd21a7c89053ad3b5eea8b0"},"schema_version":"1.0","source":{"id":"2607.01280","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.01280","created_at":"2026-07-03T00:16:56Z"},{"alias_kind":"arxiv_version","alias_value":"2607.01280v1","created_at":"2026-07-03T00:16:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.01280","created_at":"2026-07-03T00:16:56Z"},{"alias_kind":"pith_short_12","alias_value":"NF7AO76EFUH4","created_at":"2026-07-03T00:16:56Z"},{"alias_kind":"pith_short_16","alias_value":"NF7AO76EFUH4TEFG","created_at":"2026-07-03T00:16:56Z"},{"alias_kind":"pith_short_8","alias_value":"NF7AO76E","created_at":"2026-07-03T00:16:56Z"}],"graph_snapshots":[{"event_id":"sha256:cbe6409ab0046b382b65c8510ae460f3501573508ef20e7441c518a3d5a9aa33","target":"graph","created_at":"2026-07-03T00:16:56Z","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/2607.01280/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Programming-by-example systems infer programs from a small set of input-output examples. Robust PBE work usually models wrong examples as samples from a stochastic noise process and then minimizes an expected or empirical loss. This paper studies a different failure mode: an adversary who sees the synthesizer and chooses the examples whose corruption most damages the returned program. We formalize fixed-set worst-case corruption for finite PBE version spaces, implement exact-within-bounded-pool and heuristic corruption searches for a string-transformation DSL, and introduce version-space parti","authors_text":"Jialu Zhang, Yuan Si","cross_cats":["cs.PL"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-01T07:38:35Z","title":"Fixed-Set Robustness in Programming by Example: Example Corruption and Semantic Partition Recovery"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.01280","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":"sha256:2d2c89d6a92299767d4441c062a66654b6b578cf87e4ff76d9dc02444f3d124e","target":"record","created_at":"2026-07-03T00:16:56Z","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":"64c66b286f2210c5b9ff1a58581b402b442f53f0d129398e422599f705496a83","cross_cats_sorted":["cs.PL"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-01T07:38:35Z","title_canon_sha256":"7ff1d5957bb611b9c1cd1a20eede5e8982944f131fd21a7c89053ad3b5eea8b0"},"schema_version":"1.0","source":{"id":"2607.01280","kind":"arxiv","version":1}},"canonical_sha256":"697e077fc42d0fc990a6d8420c4d6cad084034365fe5ff933ce68f680aeb1083","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"697e077fc42d0fc990a6d8420c4d6cad084034365fe5ff933ce68f680aeb1083","first_computed_at":"2026-07-03T00:16:56.161159Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-03T00:16:56.161159Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9gJhtipW14eVds8j1RkNqZmiLvyUYViR0ZYetfvGI12Q3eNJ9CCmukykHdWBHncM/v92W3bZQho0kJUeE7bFAQ==","signature_status":"signed_v1","signed_at":"2026-07-03T00:16:56.161522Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.01280","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2d2c89d6a92299767d4441c062a66654b6b578cf87e4ff76d9dc02444f3d124e","sha256:cbe6409ab0046b382b65c8510ae460f3501573508ef20e7441c518a3d5a9aa33"],"state_sha256":"366d5f7743fcbe691845b218827814fd394f91351a10288cb1eb6f2c9622c5e4"}