{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:QVJD2BVM3FH5574UZBBT6HOTG7","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":"2d9dc833417f3ea22711cdd8ac17e7feaad3330e58f4b6112f5fb1789554ea49","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2026-08-04T10:57:31Z","title_canon_sha256":"89b469adac32af1b5b2b515fdb3dc78986fb9808cdaea7f16aab9c18ae395d2b"},"schema_version":"1.0","source":{"id":"2608.03461","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.03461","created_at":"2026-08-05T01:35:53Z"},{"alias_kind":"arxiv_version","alias_value":"2608.03461v1","created_at":"2026-08-05T01:35:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.03461","created_at":"2026-08-05T01:35:53Z"},{"alias_kind":"pith_short_12","alias_value":"QVJD2BVM3FH5","created_at":"2026-08-05T01:35:53Z"},{"alias_kind":"pith_short_16","alias_value":"QVJD2BVM3FH5574U","created_at":"2026-08-05T01:35:53Z"},{"alias_kind":"pith_short_8","alias_value":"QVJD2BVM","created_at":"2026-08-05T01:35:53Z"}],"graph_snapshots":[{"event_id":"sha256:7bc8003c4670123e175a5f74b95e6ea2a470e083584e32a24ff467738bdc9b8d","target":"graph","created_at":"2026-08-05T01:35:53Z","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/2608.03461/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Decomposition-based Programming-by-example (PBE) scales performance by splitting tasks into subtasks that a learned synthesizer solves: a decomposer predicts intermediate subgoals, and a synthesizer generates programs conditioned on them. Current approaches train the decomposer to imitate ground-truth ( GT) subgoals, implicitly treating decomposition quality as intrinsic to the task. We challenge this assumption: for bounded solvers with fixed inductive biases, GT decompositions reflect the annotator's factorization choices - not the solver's search dynamics. A decomposer trained to match GT d","authors_text":"Christian Bartelt, Janis Zenkner, Tim Grams, Tobias Sesterhenn","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2026-08-04T10:57:31Z","title":"Solver-Aware Decompositions for Programming-by-Example: When Dividing Requires Knowing how to Conquer"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.03461","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":"sha256:5ec6096da7f0030e3800979b1b27debe62290ba06abd49b3fc9c7fccdb7fb25c","target":"record","created_at":"2026-08-05T01:35:53Z","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":"2d9dc833417f3ea22711cdd8ac17e7feaad3330e58f4b6112f5fb1789554ea49","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2026-08-04T10:57:31Z","title_canon_sha256":"89b469adac32af1b5b2b515fdb3dc78986fb9808cdaea7f16aab9c18ae395d2b"},"schema_version":"1.0","source":{"id":"2608.03461","kind":"arxiv","version":1}},"canonical_sha256":"85523d06acd94fdeff94c8433f1dd337da91206e91b4248a4397f060cfa243e0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"85523d06acd94fdeff94c8433f1dd337da91206e91b4248a4397f060cfa243e0","first_computed_at":"2026-08-05T01:35:53.901622Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-05T01:35:53.901622Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"73jlz4YRpWKYDJBlK4u0RZvzTjtvehIHYvH2FNyrx3ZWpdOeFJT+dusckBkrcN91XFKYCrxsQ0EizQfjeSD9CQ==","signature_status":"signed_v1","signed_at":"2026-08-05T01:35:53.903065Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.03461","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5ec6096da7f0030e3800979b1b27debe62290ba06abd49b3fc9c7fccdb7fb25c","sha256:7bc8003c4670123e175a5f74b95e6ea2a470e083584e32a24ff467738bdc9b8d"],"state_sha256":"a36ae54e4332329e73428f17e0427e65dd0ad672a9bd5df38ac41ef583fdbd7c"}