{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:4ZRZX3ZWUH2XDKBGKR7HDD7BIY","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":"46f57638eb12a171f0ef1ffe7efe803d2037eed6b3bb72d09c64e3dd765b1dc7","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2026-05-20T14:01:21Z","title_canon_sha256":"ec8f8a0425ba50870650d877de4582491443d19dec99272b4ec1be7bf6f8b8ca"},"schema_version":"1.0","source":{"id":"2605.21200","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.21200","created_at":"2026-05-21T01:05:43Z"},{"alias_kind":"arxiv_version","alias_value":"2605.21200v1","created_at":"2026-05-21T01:05:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.21200","created_at":"2026-05-21T01:05:43Z"},{"alias_kind":"pith_short_12","alias_value":"4ZRZX3ZWUH2X","created_at":"2026-05-21T01:05:43Z"},{"alias_kind":"pith_short_16","alias_value":"4ZRZX3ZWUH2XDKBG","created_at":"2026-05-21T01:05:43Z"},{"alias_kind":"pith_short_8","alias_value":"4ZRZX3ZW","created_at":"2026-05-21T01:05:43Z"}],"graph_snapshots":[{"event_id":"sha256:9186c39345ce830e9facaf3b1265153915d16c6552b9097ec5f0049b82c5e8dc","target":"graph","created_at":"2026-05-21T01:05:43Z","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/2605.21200/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In the context of the Equational Theories Project, Terence Tao posed the challenge of finding alternatives to a complicated 62-step proof found by the Vampire superposition prover. We introduce a proof minimization tool called Krympa. Using a combination of brute force and heuristics, and exploiting both Vampire and the Twee equational prover, the tool reduces the 62-step proof to 20 steps, each corresponding to a rewrite. In an empirical evaluation, it also performs well on 1431 equational problems originating from the same project, reducing in particular a 151-step proof to only 10 steps.","authors_text":"Jasmin Blanchette, Lydia Kondylidou, Marijn J.H. Heule","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2026-05-20T14:01:21Z","title":"Tao's Equational Proof Challenge Accepted (Technical Report)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.21200","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":"sha256:4152bf0fbfe873ff6f552380efc4fce36eb49a17b41ae92a196cbd8350780dfc","target":"record","created_at":"2026-05-21T01:05:43Z","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":"46f57638eb12a171f0ef1ffe7efe803d2037eed6b3bb72d09c64e3dd765b1dc7","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2026-05-20T14:01:21Z","title_canon_sha256":"ec8f8a0425ba50870650d877de4582491443d19dec99272b4ec1be7bf6f8b8ca"},"schema_version":"1.0","source":{"id":"2605.21200","kind":"arxiv","version":1}},"canonical_sha256":"e6639bef36a1f571a826547e718fe14616666bc8d6496f8d1c5a8c443e5702ba","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e6639bef36a1f571a826547e718fe14616666bc8d6496f8d1c5a8c443e5702ba","first_computed_at":"2026-05-21T01:05:43.121811Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-21T01:05:43.121811Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0NvIUfzblhH7mwTcMmhoIrtJZp2Ztm49LsrzUaOM3zZcPWwqoXypK3K4tcqZSJVHl/R2HaDdbNdjj2kYxv5KBA==","signature_status":"signed_v1","signed_at":"2026-05-21T01:05:43.122416Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.21200","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4152bf0fbfe873ff6f552380efc4fce36eb49a17b41ae92a196cbd8350780dfc","sha256:9186c39345ce830e9facaf3b1265153915d16c6552b9097ec5f0049b82c5e8dc"],"state_sha256":"48564e87b00c4cbf68e2c7c782c240eef1745a95a2632d361ba932062791a1b6"}