{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:AXM3Z5VQ4GSXUGKF4PYAE72ULC","short_pith_number":"pith:AXM3Z5VQ","canonical_record":{"source":{"id":"2508.03613","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"cs.LG","submitted_at":"2025-08-05T16:28:22Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"b5e7c87057a3afe7c2ed58cc68650ab28aef379d698222b710ec7bb4b9b69735","abstract_canon_sha256":"09101f5f879db5260b1515a46d1edeb12dc0aa6500a7132c0a6f146648791ffb"},"schema_version":"1.0"},"canonical_sha256":"05d9bcf6b0e1a57a1945e3f0027f5458a157336e6bd2f7204b49ed815a25ce96","source":{"kind":"arxiv","id":"2508.03613","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.03613","created_at":"2026-05-21T06:47:44Z"},{"alias_kind":"arxiv_version","alias_value":"2508.03613v1","created_at":"2026-05-21T06:47:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.03613","created_at":"2026-05-21T06:47:44Z"},{"alias_kind":"pith_short_12","alias_value":"AXM3Z5VQ4GSX","created_at":"2026-05-21T06:47:44Z"},{"alias_kind":"pith_short_16","alias_value":"AXM3Z5VQ4GSXUGKF","created_at":"2026-05-21T06:47:44Z"},{"alias_kind":"pith_short_8","alias_value":"AXM3Z5VQ","created_at":"2026-05-21T06:47:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:AXM3Z5VQ4GSXUGKF4PYAE72ULC","target":"record","payload":{"canonical_record":{"source":{"id":"2508.03613","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"cs.LG","submitted_at":"2025-08-05T16:28:22Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"b5e7c87057a3afe7c2ed58cc68650ab28aef379d698222b710ec7bb4b9b69735","abstract_canon_sha256":"09101f5f879db5260b1515a46d1edeb12dc0aa6500a7132c0a6f146648791ffb"},"schema_version":"1.0"},"canonical_sha256":"05d9bcf6b0e1a57a1945e3f0027f5458a157336e6bd2f7204b49ed815a25ce96","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-21T06:47:44.712882Z","signature_b64":"TuHRup6keib5kXs5Lvs3o1WMoIpWkK9hO/CiZKbpga+jW4Cr8w0Q+pSFKnKoQXNa+avT3HHF38x6RNO5w1w7AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"05d9bcf6b0e1a57a1945e3f0027f5458a157336e6bd2f7204b49ed815a25ce96","last_reissued_at":"2026-05-21T06:47:44.711218Z","signature_status":"signed_v1","first_computed_at":"2026-05-21T06:47:44.711218Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2508.03613","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-21T06:47:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mI633W4skl7RS049boBnEd89DQd5xfPHJl0qwelBoc+ShgQ6W/yaFABiqgix5aH/XP/biSghX+aZKX1zwKSPDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T13:49:15.786025Z"},"content_sha256":"a1de174fc76b86f16a28dd302522f69fc9c9b2012dbe2402b24e3a319e13a1fb","schema_version":"1.0","event_id":"sha256:a1de174fc76b86f16a28dd302522f69fc9c9b2012dbe2402b24e3a319e13a1fb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:AXM3Z5VQ4GSXUGKF4PYAE72ULC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Goedel-Prover-V2: Scaling Formal Theorem Proving with Scaffolded Data Synthesis and Self-Correction","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":["cs.AI"],"primary_cat":"cs.LG","authors_text":"Bohan Lyu, Chi Jin, Danqi Chen, David Acuna, Haoyu Zhao, Hongzhou Lin, Jiawei Ge, Jiayun Wu, Jingruo Sun, Jiri Gesi, Jui-Hui Chung, Kaiyu Yang, Lai Jiang, Sanjeev Arora, Shange Tang, Ximing Lu, Yejin Choi, Yihan Geng, Yong Lin, Ziran Yang","submitted_at":"2025-08-05T16:28:22Z","abstract_excerpt":"We introduce Goedel-Prover-V2, a series of open-source language models that set a new state-of-the-art in automated theorem proving. Built on the standard expert iteration and reinforcement learning pipeline, our approach incorporates three key innovations: (1) Scaffolded data synthesis: We generate synthetic tasks of increasing difficulty to train the model to master increasingly complex theorems; (2) Verifier-guided self-correction: We enable the model to iteratively revise its proofs by leveraging feedback from the Lean compiler; (3) Model averaging: We merge model checkpoints to mitigate t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.03613","kind":"arxiv","version":1},"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/2508.03613/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":"2026-05-21T06:47:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5tKVYZEnh172yumYHbVeKWkkdiFfAZtQCTs7xv9xNHRiMRThCAgEyB2GyLdeOwMBixaOxf7Xwj0WAAlKKh4PAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T13:49:15.786449Z"},"content_sha256":"ce9b4c6e6130cd5a8bcbcf70c54fbe5daa4bf420c7ebe313c87bd7aab66bacc4","schema_version":"1.0","event_id":"sha256:ce9b4c6e6130cd5a8bcbcf70c54fbe5daa4bf420c7ebe313c87bd7aab66bacc4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AXM3Z5VQ4GSXUGKF4PYAE72ULC/bundle.json","state_url":"https://pith.science/pith/AXM3Z5VQ4GSXUGKF4PYAE72ULC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AXM3Z5VQ4GSXUGKF4PYAE72ULC/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":"2026-05-22T13:49:15Z","links":{"resolver":"https://pith.science/pith/AXM3Z5VQ4GSXUGKF4PYAE72ULC","bundle":"https://pith.science/pith/AXM3Z5VQ4GSXUGKF4PYAE72ULC/bundle.json","state":"https://pith.science/pith/AXM3Z5VQ4GSXUGKF4PYAE72ULC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AXM3Z5VQ4GSXUGKF4PYAE72ULC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:AXM3Z5VQ4GSXUGKF4PYAE72ULC","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":"09101f5f879db5260b1515a46d1edeb12dc0aa6500a7132c0a6f146648791ffb","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"cs.LG","submitted_at":"2025-08-05T16:28:22Z","title_canon_sha256":"b5e7c87057a3afe7c2ed58cc68650ab28aef379d698222b710ec7bb4b9b69735"},"schema_version":"1.0","source":{"id":"2508.03613","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.03613","created_at":"2026-05-21T06:47:44Z"},{"alias_kind":"arxiv_version","alias_value":"2508.03613v1","created_at":"2026-05-21T06:47:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.03613","created_at":"2026-05-21T06:47:44Z"},{"alias_kind":"pith_short_12","alias_value":"AXM3Z5VQ4GSX","created_at":"2026-05-21T06:47:44Z"},{"alias_kind":"pith_short_16","alias_value":"AXM3Z5VQ4GSXUGKF","created_at":"2026-05-21T06:47:44Z"},{"alias_kind":"pith_short_8","alias_value":"AXM3Z5VQ","created_at":"2026-05-21T06:47:44Z"}],"graph_snapshots":[{"event_id":"sha256:ce9b4c6e6130cd5a8bcbcf70c54fbe5daa4bf420c7ebe313c87bd7aab66bacc4","target":"graph","created_at":"2026-05-21T06:47:44Z","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/2508.03613/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce Goedel-Prover-V2, a series of open-source language models that set a new state-of-the-art in automated theorem proving. Built on the standard expert iteration and reinforcement learning pipeline, our approach incorporates three key innovations: (1) Scaffolded data synthesis: We generate synthetic tasks of increasing difficulty to train the model to master increasingly complex theorems; (2) Verifier-guided self-correction: We enable the model to iteratively revise its proofs by leveraging feedback from the Lean compiler; (3) Model averaging: We merge model checkpoints to mitigate t","authors_text":"Bohan Lyu, Chi Jin, Danqi Chen, David Acuna, Haoyu Zhao, Hongzhou Lin, Jiawei Ge, Jiayun Wu, Jingruo Sun, Jiri Gesi, Jui-Hui Chung, Kaiyu Yang, Lai Jiang, Sanjeev Arora, Shange Tang, Ximing Lu, Yejin Choi, Yihan Geng, Yong Lin, Ziran Yang","cross_cats":["cs.AI"],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"cs.LG","submitted_at":"2025-08-05T16:28:22Z","title":"Goedel-Prover-V2: Scaling Formal Theorem Proving with Scaffolded Data Synthesis and Self-Correction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.03613","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:a1de174fc76b86f16a28dd302522f69fc9c9b2012dbe2402b24e3a319e13a1fb","target":"record","created_at":"2026-05-21T06:47:44Z","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":"09101f5f879db5260b1515a46d1edeb12dc0aa6500a7132c0a6f146648791ffb","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"cs.LG","submitted_at":"2025-08-05T16:28:22Z","title_canon_sha256":"b5e7c87057a3afe7c2ed58cc68650ab28aef379d698222b710ec7bb4b9b69735"},"schema_version":"1.0","source":{"id":"2508.03613","kind":"arxiv","version":1}},"canonical_sha256":"05d9bcf6b0e1a57a1945e3f0027f5458a157336e6bd2f7204b49ed815a25ce96","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"05d9bcf6b0e1a57a1945e3f0027f5458a157336e6bd2f7204b49ed815a25ce96","first_computed_at":"2026-05-21T06:47:44.711218Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-21T06:47:44.711218Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TuHRup6keib5kXs5Lvs3o1WMoIpWkK9hO/CiZKbpga+jW4Cr8w0Q+pSFKnKoQXNa+avT3HHF38x6RNO5w1w7AA==","signature_status":"signed_v1","signed_at":"2026-05-21T06:47:44.712882Z","signed_message":"canonical_sha256_bytes"},"source_id":"2508.03613","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a1de174fc76b86f16a28dd302522f69fc9c9b2012dbe2402b24e3a319e13a1fb","sha256:ce9b4c6e6130cd5a8bcbcf70c54fbe5daa4bf420c7ebe313c87bd7aab66bacc4"],"state_sha256":"158b754af8561ddb09849501a844d7a2ca6555bb1ec976c80076ec95a4fd26e2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6foCThsPTsMi5kZN7oevdlwAagTKFOYBz4OBUBnetLFycsUB1DnV1r+7EZNkG1Y9fqyEIyQhZF2XbuZjVbO8Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T13:49:15.789151Z","bundle_sha256":"1af1cafe2f5452005e24b345545e30d3cc94ecf3fd3a18e4cb2e125565dd3bcc"}}