{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:WK3FFV2UL62UTJMFTQXZ37B6Y2","short_pith_number":"pith:WK3FFV2U","canonical_record":{"source":{"id":"2409.01524","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CL","submitted_at":"2024-09-03T01:40:21Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"a165ea7c2d0ea94519818659efcd110657d8cbc4f2086f213fc1088007f2cc09","abstract_canon_sha256":"42f5531340216a1a45ba1db3262e57000fcdd8fde19ef2464597efba28322823"},"schema_version":"1.0"},"canonical_sha256":"b2b652d7545fb549a5859c2f9dfc3ec6bf578d80c5b3c84f407fd776cff05827","source":{"kind":"arxiv","id":"2409.01524","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.01524","created_at":"2026-07-05T11:28:31Z"},{"alias_kind":"arxiv_version","alias_value":"2409.01524v3","created_at":"2026-07-05T11:28:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.01524","created_at":"2026-07-05T11:28:31Z"},{"alias_kind":"pith_short_12","alias_value":"WK3FFV2UL62U","created_at":"2026-07-05T11:28:31Z"},{"alias_kind":"pith_short_16","alias_value":"WK3FFV2UL62UTJMF","created_at":"2026-07-05T11:28:31Z"},{"alias_kind":"pith_short_8","alias_value":"WK3FFV2U","created_at":"2026-07-05T11:28:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:WK3FFV2UL62UTJMFTQXZ37B6Y2","target":"record","payload":{"canonical_record":{"source":{"id":"2409.01524","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CL","submitted_at":"2024-09-03T01:40:21Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"a165ea7c2d0ea94519818659efcd110657d8cbc4f2086f213fc1088007f2cc09","abstract_canon_sha256":"42f5531340216a1a45ba1db3262e57000fcdd8fde19ef2464597efba28322823"},"schema_version":"1.0"},"canonical_sha256":"b2b652d7545fb549a5859c2f9dfc3ec6bf578d80c5b3c84f407fd776cff05827","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:28:31.406948Z","signature_b64":"hJc8QN7Cl/Ydos0U5SWetq9yNGdrdkV6ZE5JK5LnYIxMqv7ZFeY3HKyimhomCZDV8vAEYKK0KsD9Uyi6Li/UCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b2b652d7545fb549a5859c2f9dfc3ec6bf578d80c5b3c84f407fd776cff05827","last_reissued_at":"2026-07-05T11:28:31.406444Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:28:31.406444Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2409.01524","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:28:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Fc+DvTiJ80z3ADpPmG2EGETm0NWigadR0Y++fNV0rL3EU/46vPR1YJlf6qOwIp8+A7rRpkemIY+OvNs5Ch29CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T13:37:25.202368Z"},"content_sha256":"7b67bb760b2c4d335872c77874e9eb6b4ee073b05de27db8bd39fe9d7e79d664","schema_version":"1.0","event_id":"sha256:7b67bb760b2c4d335872c77874e9eb6b4ee073b05de27db8bd39fe9d7e79d664"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:WK3FFV2UL62UTJMFTQXZ37B6Y2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"S^3cMath: Spontaneous Step-level Self-correction Makes Large Language Models Better Mathematical Reasoners","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.AI"],"primary_cat":"cs.CL","authors_text":"Jian Shao, Jin Jiang, Mengdi Zhang, Xin Xu, Xunliang Cai, Yang Liu, Yixin Cao, Yuchen Yan","submitted_at":"2024-09-03T01:40:21Z","abstract_excerpt":"Self-correction is a novel method that can stimulate the potential reasoning abilities of large language models (LLMs). It involves detecting and correcting errors during the inference process when LLMs solve reasoning problems. However, recent works do not regard self-correction as a spontaneous and intrinsic capability of LLMs. Instead, such correction is achieved through post-hoc generation, external knowledge introduction, multi-model collaboration, and similar techniques. In this paper, we propose a series of mathematical LLMs called S$^3$c-Math, which are able to perform Spontaneous Step"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.01524","kind":"arxiv","version":3},"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/2409.01524/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":"2026-07-05T11:28:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SwaUFnE+bLTyPM4CnhzB0S4U8K1zNCqFOfHeC2IEjCgQ9cXJfe9a3ctYc2PMqbK4q94YNX+9iDt+fOEuYcV4Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T13:37:25.203333Z"},"content_sha256":"03523eb152eebfde67fa931fa9ed4875dff0176561582eb6ecf24e538d6fadda","schema_version":"1.0","event_id":"sha256:03523eb152eebfde67fa931fa9ed4875dff0176561582eb6ecf24e538d6fadda"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WK3FFV2UL62UTJMFTQXZ37B6Y2/bundle.json","state_url":"https://pith.science/pith/WK3FFV2UL62UTJMFTQXZ37B6Y2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WK3FFV2UL62UTJMFTQXZ37B6Y2/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":"2026-08-08T13:37:25Z","links":{"resolver":"https://pith.science/pith/WK3FFV2UL62UTJMFTQXZ37B6Y2","bundle":"https://pith.science/pith/WK3FFV2UL62UTJMFTQXZ37B6Y2/bundle.json","state":"https://pith.science/pith/WK3FFV2UL62UTJMFTQXZ37B6Y2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WK3FFV2UL62UTJMFTQXZ37B6Y2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:WK3FFV2UL62UTJMFTQXZ37B6Y2","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":"42f5531340216a1a45ba1db3262e57000fcdd8fde19ef2464597efba28322823","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CL","submitted_at":"2024-09-03T01:40:21Z","title_canon_sha256":"a165ea7c2d0ea94519818659efcd110657d8cbc4f2086f213fc1088007f2cc09"},"schema_version":"1.0","source":{"id":"2409.01524","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.01524","created_at":"2026-07-05T11:28:31Z"},{"alias_kind":"arxiv_version","alias_value":"2409.01524v3","created_at":"2026-07-05T11:28:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.01524","created_at":"2026-07-05T11:28:31Z"},{"alias_kind":"pith_short_12","alias_value":"WK3FFV2UL62U","created_at":"2026-07-05T11:28:31Z"},{"alias_kind":"pith_short_16","alias_value":"WK3FFV2UL62UTJMF","created_at":"2026-07-05T11:28:31Z"},{"alias_kind":"pith_short_8","alias_value":"WK3FFV2U","created_at":"2026-07-05T11:28:31Z"}],"graph_snapshots":[{"event_id":"sha256:03523eb152eebfde67fa931fa9ed4875dff0176561582eb6ecf24e538d6fadda","target":"graph","created_at":"2026-07-05T11:28:31Z","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/2409.01524/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Self-correction is a novel method that can stimulate the potential reasoning abilities of large language models (LLMs). It involves detecting and correcting errors during the inference process when LLMs solve reasoning problems. However, recent works do not regard self-correction as a spontaneous and intrinsic capability of LLMs. Instead, such correction is achieved through post-hoc generation, external knowledge introduction, multi-model collaboration, and similar techniques. In this paper, we propose a series of mathematical LLMs called S$^3$c-Math, which are able to perform Spontaneous Step","authors_text":"Jian Shao, Jin Jiang, Mengdi Zhang, Xin Xu, Xunliang Cai, Yang Liu, Yixin Cao, Yuchen Yan","cross_cats":["cs.AI"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CL","submitted_at":"2024-09-03T01:40:21Z","title":"S^3cMath: Spontaneous Step-level Self-correction Makes Large Language Models Better Mathematical Reasoners"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.01524","kind":"arxiv","version":3},"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":"sha256:7b67bb760b2c4d335872c77874e9eb6b4ee073b05de27db8bd39fe9d7e79d664","target":"record","created_at":"2026-07-05T11:28:31Z","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":"42f5531340216a1a45ba1db3262e57000fcdd8fde19ef2464597efba28322823","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CL","submitted_at":"2024-09-03T01:40:21Z","title_canon_sha256":"a165ea7c2d0ea94519818659efcd110657d8cbc4f2086f213fc1088007f2cc09"},"schema_version":"1.0","source":{"id":"2409.01524","kind":"arxiv","version":3}},"canonical_sha256":"b2b652d7545fb549a5859c2f9dfc3ec6bf578d80c5b3c84f407fd776cff05827","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b2b652d7545fb549a5859c2f9dfc3ec6bf578d80c5b3c84f407fd776cff05827","first_computed_at":"2026-07-05T11:28:31.406444Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:28:31.406444Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hJc8QN7Cl/Ydos0U5SWetq9yNGdrdkV6ZE5JK5LnYIxMqv7ZFeY3HKyimhomCZDV8vAEYKK0KsD9Uyi6Li/UCw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:28:31.406948Z","signed_message":"canonical_sha256_bytes"},"source_id":"2409.01524","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7b67bb760b2c4d335872c77874e9eb6b4ee073b05de27db8bd39fe9d7e79d664","sha256:03523eb152eebfde67fa931fa9ed4875dff0176561582eb6ecf24e538d6fadda"],"state_sha256":"0154e1be74203c9f168de57bd3db334320c4151502a3972074b643176cfff061"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GIX+Z2khFhfIw8gjJkviXCAL2wE3UjauJai0J45dGZj/7hki8WhxtCGRSHilDYIPEyylIfCxrcfNsIQq0ZD5AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T13:37:25.264452Z","bundle_sha256":"70ac4076e083658bf01f9acf7492466c2773e7dd40985ef5e7edb177de69cbcd"}}