{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:5DXK6SC6LU6QDVVSDP254XY346","short_pith_number":"pith:5DXK6SC6","canonical_record":{"source":{"id":"2304.02986","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LO","submitted_at":"2023-04-06T10:41:51Z","cross_cats_sorted":[],"title_canon_sha256":"33a68a8d62f1651de62d1f5f4394f921e956ac2e6d300c82c4e5e09ab3bd2e40","abstract_canon_sha256":"142f5513d9e685c417b13fedef0751dadb76440c101683a9599b919e7b5685aa"},"schema_version":"1.0"},"canonical_sha256":"e8eeaf485e5d3d01d6b21bf5de5f1be7ac352cfac0b00b3736bb262077ae1b60","source":{"kind":"arxiv","id":"2304.02986","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2304.02986","created_at":"2026-07-05T05:58:43Z"},{"alias_kind":"arxiv_version","alias_value":"2304.02986v1","created_at":"2026-07-05T05:58:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2304.02986","created_at":"2026-07-05T05:58:43Z"},{"alias_kind":"pith_short_12","alias_value":"5DXK6SC6LU6Q","created_at":"2026-07-05T05:58:43Z"},{"alias_kind":"pith_short_16","alias_value":"5DXK6SC6LU6QDVVS","created_at":"2026-07-05T05:58:43Z"},{"alias_kind":"pith_short_8","alias_value":"5DXK6SC6","created_at":"2026-07-05T05:58:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:5DXK6SC6LU6QDVVSDP254XY346","target":"record","payload":{"canonical_record":{"source":{"id":"2304.02986","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LO","submitted_at":"2023-04-06T10:41:51Z","cross_cats_sorted":[],"title_canon_sha256":"33a68a8d62f1651de62d1f5f4394f921e956ac2e6d300c82c4e5e09ab3bd2e40","abstract_canon_sha256":"142f5513d9e685c417b13fedef0751dadb76440c101683a9599b919e7b5685aa"},"schema_version":"1.0"},"canonical_sha256":"e8eeaf485e5d3d01d6b21bf5de5f1be7ac352cfac0b00b3736bb262077ae1b60","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:58:43.710804Z","signature_b64":"5Z+hlu4+ZmmPAHIO3rhkuqG3WLLa2QlFmHVEPSmR50b16Yg0XJsdChpddu0dA9WAZCmgic6ZVDTKsFcONEB7CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e8eeaf485e5d3d01d6b21bf5de5f1be7ac352cfac0b00b3736bb262077ae1b60","last_reissued_at":"2026-07-05T05:58:43.710265Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:58:43.710265Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2304.02986","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":"2026-07-05T05:58:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5VLcPZoAh4S05KOeUGbaVR9+c7iyf2Yf9xRe/4dD9LGX9g7rtlT2WiS2sMjWa+FokjoZESr8vDGNMfJ53NvrBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T19:05:21.489616Z"},"content_sha256":"716943877f991a2e92a0aee180e9ce2123bb523fe0095c24abf3621b4a12e880","schema_version":"1.0","event_id":"sha256:716943877f991a2e92a0aee180e9ce2123bb523fe0095c24abf3621b4a12e880"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:5DXK6SC6LU6QDVVSDP254XY346","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Mathematical Benchmark for Inductive Theorem Provers","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Chad E. Brown, Josef Urban, Mikolas Janota, Thibault Gauthier","submitted_at":"2023-04-06T10:41:51Z","abstract_excerpt":"We present a benchmark of 29687 problems derived from the On-Line Encyclopedia of Integer Sequences (OEIS). Each problem expresses the equivalence of two syntactically different programs generating the same OEIS sequence. Such programs were conjectured by a learning-guided synthesis system using a language with looping operators. The operators implement recursion, and thus many of the proofs require induction on natural numbers. The benchmark contains problems of varying difficulty from a wide area of mathematical domains. We believe that these characteristics will make it an effective judge f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2304.02986","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/2304.02986/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":"2026-07-05T05:58:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AYcNm7wqi235OTPojh8l3FlCchYwVnqYFNCYBazC7lFA5NR3nYEMqA6dn1kbqNeg3nf3VEkuzJFfD6VWg8o2DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T19:05:21.490111Z"},"content_sha256":"ad035dc15f38ea6e0756225712e64e626a4101e3883967f1a3ee2f76d4f22595","schema_version":"1.0","event_id":"sha256:ad035dc15f38ea6e0756225712e64e626a4101e3883967f1a3ee2f76d4f22595"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5DXK6SC6LU6QDVVSDP254XY346/bundle.json","state_url":"https://pith.science/pith/5DXK6SC6LU6QDVVSDP254XY346/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5DXK6SC6LU6QDVVSDP254XY346/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":"2026-08-06T19:05:21Z","links":{"resolver":"https://pith.science/pith/5DXK6SC6LU6QDVVSDP254XY346","bundle":"https://pith.science/pith/5DXK6SC6LU6QDVVSDP254XY346/bundle.json","state":"https://pith.science/pith/5DXK6SC6LU6QDVVSDP254XY346/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5DXK6SC6LU6QDVVSDP254XY346/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:5DXK6SC6LU6QDVVSDP254XY346","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":"142f5513d9e685c417b13fedef0751dadb76440c101683a9599b919e7b5685aa","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LO","submitted_at":"2023-04-06T10:41:51Z","title_canon_sha256":"33a68a8d62f1651de62d1f5f4394f921e956ac2e6d300c82c4e5e09ab3bd2e40"},"schema_version":"1.0","source":{"id":"2304.02986","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2304.02986","created_at":"2026-07-05T05:58:43Z"},{"alias_kind":"arxiv_version","alias_value":"2304.02986v1","created_at":"2026-07-05T05:58:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2304.02986","created_at":"2026-07-05T05:58:43Z"},{"alias_kind":"pith_short_12","alias_value":"5DXK6SC6LU6Q","created_at":"2026-07-05T05:58:43Z"},{"alias_kind":"pith_short_16","alias_value":"5DXK6SC6LU6QDVVS","created_at":"2026-07-05T05:58:43Z"},{"alias_kind":"pith_short_8","alias_value":"5DXK6SC6","created_at":"2026-07-05T05:58:43Z"}],"graph_snapshots":[{"event_id":"sha256:ad035dc15f38ea6e0756225712e64e626a4101e3883967f1a3ee2f76d4f22595","target":"graph","created_at":"2026-07-05T05:58:43Z","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/2304.02986/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a benchmark of 29687 problems derived from the On-Line Encyclopedia of Integer Sequences (OEIS). Each problem expresses the equivalence of two syntactically different programs generating the same OEIS sequence. Such programs were conjectured by a learning-guided synthesis system using a language with looping operators. The operators implement recursion, and thus many of the proofs require induction on natural numbers. The benchmark contains problems of varying difficulty from a wide area of mathematical domains. We believe that these characteristics will make it an effective judge f","authors_text":"Chad E. Brown, Josef Urban, Mikolas Janota, Thibault Gauthier","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LO","submitted_at":"2023-04-06T10:41:51Z","title":"A Mathematical Benchmark for Inductive Theorem Provers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2304.02986","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":"sha256:716943877f991a2e92a0aee180e9ce2123bb523fe0095c24abf3621b4a12e880","target":"record","created_at":"2026-07-05T05:58:43Z","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":"142f5513d9e685c417b13fedef0751dadb76440c101683a9599b919e7b5685aa","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LO","submitted_at":"2023-04-06T10:41:51Z","title_canon_sha256":"33a68a8d62f1651de62d1f5f4394f921e956ac2e6d300c82c4e5e09ab3bd2e40"},"schema_version":"1.0","source":{"id":"2304.02986","kind":"arxiv","version":1}},"canonical_sha256":"e8eeaf485e5d3d01d6b21bf5de5f1be7ac352cfac0b00b3736bb262077ae1b60","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e8eeaf485e5d3d01d6b21bf5de5f1be7ac352cfac0b00b3736bb262077ae1b60","first_computed_at":"2026-07-05T05:58:43.710265Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:58:43.710265Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5Z+hlu4+ZmmPAHIO3rhkuqG3WLLa2QlFmHVEPSmR50b16Yg0XJsdChpddu0dA9WAZCmgic6ZVDTKsFcONEB7CQ==","signature_status":"signed_v1","signed_at":"2026-07-05T05:58:43.710804Z","signed_message":"canonical_sha256_bytes"},"source_id":"2304.02986","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:716943877f991a2e92a0aee180e9ce2123bb523fe0095c24abf3621b4a12e880","sha256:ad035dc15f38ea6e0756225712e64e626a4101e3883967f1a3ee2f76d4f22595"],"state_sha256":"5638e0b5827835b8c28d14ed9f9129a929710efcc5dbab2031bab41480849de6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oAxc6rnW3aqM1tPlVYU+BtbhOXeJXXNC6uVvmQBlB+KmsHSMu25JTH3So5DM0RdMnp3qd1i2XmZi4YyePFpwAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T19:05:21.493800Z","bundle_sha256":"35f05ec0f25baf20a8ebf41edd20f51ec15d1adad0b132dcb26096561547feb8"}}