{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:OBDSSZ6ZKU7NVAMAFNR3NBJFRV","short_pith_number":"pith:OBDSSZ6Z","canonical_record":{"source":{"id":"2606.06468","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2026-06-04T17:54:44Z","cross_cats_sorted":[],"title_canon_sha256":"dcbefb16dc4c30712c98788b674e3ab1c8785acd49ef28166d8cfdf9357158ab","abstract_canon_sha256":"49b9c31d4548a97acd3574e56c2811baa4df269655c9b63c6c49e05582258482"},"schema_version":"1.0"},"canonical_sha256":"70472967d9553eda81802b63b685258d7e683b97986468d9369181f2279544f5","source":{"kind":"arxiv","id":"2606.06468","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.06468","created_at":"2026-06-05T01:15:46Z"},{"alias_kind":"arxiv_version","alias_value":"2606.06468v1","created_at":"2026-06-05T01:15:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.06468","created_at":"2026-06-05T01:15:46Z"},{"alias_kind":"pith_short_12","alias_value":"OBDSSZ6ZKU7N","created_at":"2026-06-05T01:15:46Z"},{"alias_kind":"pith_short_16","alias_value":"OBDSSZ6ZKU7NVAMA","created_at":"2026-06-05T01:15:46Z"},{"alias_kind":"pith_short_8","alias_value":"OBDSSZ6Z","created_at":"2026-06-05T01:15:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:OBDSSZ6ZKU7NVAMAFNR3NBJFRV","target":"record","payload":{"canonical_record":{"source":{"id":"2606.06468","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2026-06-04T17:54:44Z","cross_cats_sorted":[],"title_canon_sha256":"dcbefb16dc4c30712c98788b674e3ab1c8785acd49ef28166d8cfdf9357158ab","abstract_canon_sha256":"49b9c31d4548a97acd3574e56c2811baa4df269655c9b63c6c49e05582258482"},"schema_version":"1.0"},"canonical_sha256":"70472967d9553eda81802b63b685258d7e683b97986468d9369181f2279544f5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-05T01:15:46.496744Z","signature_b64":"S94mgNqDL0DeL20MDh+/kSBGKDJ3g32RhmwGVDcljBpbid7KehG5vwfGnZEyUkMFn8W/bOZPTefdLxkSv8wrBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"70472967d9553eda81802b63b685258d7e683b97986468d9369181f2279544f5","last_reissued_at":"2026-06-05T01:15:46.496320Z","signature_status":"signed_v1","first_computed_at":"2026-06-05T01:15:46.496320Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.06468","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":"2026-06-05T01:15:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"recUjdF1uQIe/p/J8mcnRdLYipdrjKEZ5D2SeB2VKNObdaJc7lHFWvP285eygTzgz2RWsCBSR4jbUsy3KkBUAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T22:33:21.337564Z"},"content_sha256":"ecc01e5de2076bbc093a2151825e83339f57d1a1fa4ff3901884c7d7a0d1d4ec","schema_version":"1.0","event_id":"sha256:ecc01e5de2076bbc093a2151825e83339f57d1a1fa4ff3901884c7d7a0d1d4ec"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:OBDSSZ6ZKU7NVAMAFNR3NBJFRV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Goedel-Architect: Streamlining Formal Theorem Proving with Blueprint Generation and Refinement","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.AI","authors_text":"Chi Jin, Danqi Chen, Hongzhou Lin, Jui-Hui Chung, Liam H Fowl, Mengdi Wang, Narutatsu Ri, Qishuo Yin, Rodrigo Porto, Rohit Agarwal, Sanjeev Arora, Shange Tang, Simon Park, Xingyu Dang, Zihao Li, Ziran Yang, Ziyang Cai","submitted_at":"2026-06-04T17:54:44Z","abstract_excerpt":"We introduce Goedel-Architect, an agentic framework for formal theorem proving in Lean 4 centered on blueprint generation and refinement. A blueprint is a dependency graph of definitions and lemmas that builds up to the main theorem. First, Goedel-Architect generates a blueprint of formally stated definitions and lemmas, along with declared dependencies. This blueprint is optionally guided by a natural language proof. Then, a tool-equipped Lean prover component closes each open lemma node in parallel using relevant dependencies. Failed lemmas in turn drive refinement of the global blueprint. T"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.06468","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/2606.06468/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":"2026-06-05T01:15:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vJGHXPzBGfSFk3rCuKTjrUkvFOPIOluoisdhWkCC1gA21oTePKRMst135MxcMEspyZDIavoBBJfbkC2vZG6lCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T22:33:21.338006Z"},"content_sha256":"47673cfc2d8472b229c30e5df3dc808d151367d05ee01a9e889944af98d6686e","schema_version":"1.0","event_id":"sha256:47673cfc2d8472b229c30e5df3dc808d151367d05ee01a9e889944af98d6686e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OBDSSZ6ZKU7NVAMAFNR3NBJFRV/bundle.json","state_url":"https://pith.science/pith/OBDSSZ6ZKU7NVAMAFNR3NBJFRV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OBDSSZ6ZKU7NVAMAFNR3NBJFRV/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":"2026-06-10T22:33:21Z","links":{"resolver":"https://pith.science/pith/OBDSSZ6ZKU7NVAMAFNR3NBJFRV","bundle":"https://pith.science/pith/OBDSSZ6ZKU7NVAMAFNR3NBJFRV/bundle.json","state":"https://pith.science/pith/OBDSSZ6ZKU7NVAMAFNR3NBJFRV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OBDSSZ6ZKU7NVAMAFNR3NBJFRV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:OBDSSZ6ZKU7NVAMAFNR3NBJFRV","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":"49b9c31d4548a97acd3574e56c2811baa4df269655c9b63c6c49e05582258482","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2026-06-04T17:54:44Z","title_canon_sha256":"dcbefb16dc4c30712c98788b674e3ab1c8785acd49ef28166d8cfdf9357158ab"},"schema_version":"1.0","source":{"id":"2606.06468","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.06468","created_at":"2026-06-05T01:15:46Z"},{"alias_kind":"arxiv_version","alias_value":"2606.06468v1","created_at":"2026-06-05T01:15:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.06468","created_at":"2026-06-05T01:15:46Z"},{"alias_kind":"pith_short_12","alias_value":"OBDSSZ6ZKU7N","created_at":"2026-06-05T01:15:46Z"},{"alias_kind":"pith_short_16","alias_value":"OBDSSZ6ZKU7NVAMA","created_at":"2026-06-05T01:15:46Z"},{"alias_kind":"pith_short_8","alias_value":"OBDSSZ6Z","created_at":"2026-06-05T01:15:46Z"}],"graph_snapshots":[{"event_id":"sha256:47673cfc2d8472b229c30e5df3dc808d151367d05ee01a9e889944af98d6686e","target":"graph","created_at":"2026-06-05T01:15:46Z","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/2606.06468/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce Goedel-Architect, an agentic framework for formal theorem proving in Lean 4 centered on blueprint generation and refinement. A blueprint is a dependency graph of definitions and lemmas that builds up to the main theorem. First, Goedel-Architect generates a blueprint of formally stated definitions and lemmas, along with declared dependencies. This blueprint is optionally guided by a natural language proof. Then, a tool-equipped Lean prover component closes each open lemma node in parallel using relevant dependencies. Failed lemmas in turn drive refinement of the global blueprint. T","authors_text":"Chi Jin, Danqi Chen, Hongzhou Lin, Jui-Hui Chung, Liam H Fowl, Mengdi Wang, Narutatsu Ri, Qishuo Yin, Rodrigo Porto, Rohit Agarwal, Sanjeev Arora, Shange Tang, Simon Park, Xingyu Dang, Zihao Li, Ziran Yang, Ziyang Cai","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2026-06-04T17:54:44Z","title":"Goedel-Architect: Streamlining Formal Theorem Proving with Blueprint Generation and Refinement"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.06468","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:ecc01e5de2076bbc093a2151825e83339f57d1a1fa4ff3901884c7d7a0d1d4ec","target":"record","created_at":"2026-06-05T01:15:46Z","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":"49b9c31d4548a97acd3574e56c2811baa4df269655c9b63c6c49e05582258482","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2026-06-04T17:54:44Z","title_canon_sha256":"dcbefb16dc4c30712c98788b674e3ab1c8785acd49ef28166d8cfdf9357158ab"},"schema_version":"1.0","source":{"id":"2606.06468","kind":"arxiv","version":1}},"canonical_sha256":"70472967d9553eda81802b63b685258d7e683b97986468d9369181f2279544f5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"70472967d9553eda81802b63b685258d7e683b97986468d9369181f2279544f5","first_computed_at":"2026-06-05T01:15:46.496320Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-05T01:15:46.496320Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"S94mgNqDL0DeL20MDh+/kSBGKDJ3g32RhmwGVDcljBpbid7KehG5vwfGnZEyUkMFn8W/bOZPTefdLxkSv8wrBw==","signature_status":"signed_v1","signed_at":"2026-06-05T01:15:46.496744Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.06468","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ecc01e5de2076bbc093a2151825e83339f57d1a1fa4ff3901884c7d7a0d1d4ec","sha256:47673cfc2d8472b229c30e5df3dc808d151367d05ee01a9e889944af98d6686e"],"state_sha256":"284c82a13e3b4a993215f7407829adce1827b0a139de009f4acc247bd022080a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qaDypYHdMtwnmKQlpU7tBfZqIXBlkeBQrUcQk5v7GIpR+co7HAPgU1uDlHiRFds6/yYLqG2q28YV2wxXVppNBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T22:33:21.340883Z","bundle_sha256":"298b7d817d5131a31c23879dd87d92ebb3aeafda62e89f998e001d0c886fe501"}}