{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:RKJAHZERU6TEB6PYJ63BIRCCZG","short_pith_number":"pith:RKJAHZER","canonical_record":{"source":{"id":"2312.09241","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2023-12-14T18:58:28Z","cross_cats_sorted":["cs.CL"],"title_canon_sha256":"dc4e98083d1ef0117b7fdc67d69b770ff110738adaeb1a2621b14090041041c0","abstract_canon_sha256":"ce5ddcf8a2638e32314e672ca938209f0c8459c207f55e4ba4c47b3922fba6b4"},"schema_version":"1.0"},"canonical_sha256":"8a9203e491a7a640f9f84fb6144442c9a65cf87ec8aa3aca99876991ccb6c42d","source":{"kind":"arxiv","id":"2312.09241","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.09241","created_at":"2026-07-05T07:24:16Z"},{"alias_kind":"arxiv_version","alias_value":"2312.09241v1","created_at":"2026-07-05T07:24:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.09241","created_at":"2026-07-05T07:24:16Z"},{"alias_kind":"pith_short_12","alias_value":"RKJAHZERU6TE","created_at":"2026-07-05T07:24:16Z"},{"alias_kind":"pith_short_16","alias_value":"RKJAHZERU6TEB6PY","created_at":"2026-07-05T07:24:16Z"},{"alias_kind":"pith_short_8","alias_value":"RKJAHZER","created_at":"2026-07-05T07:24:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:RKJAHZERU6TEB6PYJ63BIRCCZG","target":"record","payload":{"canonical_record":{"source":{"id":"2312.09241","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2023-12-14T18:58:28Z","cross_cats_sorted":["cs.CL"],"title_canon_sha256":"dc4e98083d1ef0117b7fdc67d69b770ff110738adaeb1a2621b14090041041c0","abstract_canon_sha256":"ce5ddcf8a2638e32314e672ca938209f0c8459c207f55e4ba4c47b3922fba6b4"},"schema_version":"1.0"},"canonical_sha256":"8a9203e491a7a640f9f84fb6144442c9a65cf87ec8aa3aca99876991ccb6c42d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:24:16.376672Z","signature_b64":"XbXQv4ozB8U5QXVqAxwK3dFgWciQo/xDUxo+d0MPS/akOMmgwX8nZR1RIWCHgjY3TAbTqGWjQGPld7WnfME5DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8a9203e491a7a640f9f84fb6144442c9a65cf87ec8aa3aca99876991ccb6c42d","last_reissued_at":"2026-07-05T07:24:16.376186Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:24:16.376186Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2312.09241","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":"2026-07-05T07:24:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"orb8BDvqdGMxK9/x8qLz46PDLDS0DnjizoVIUrk/73ixjpqbkWYzH/7V1B8pjs5zQjfOzUlSL0E954U1CXPKAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T21:01:44.526080Z"},"content_sha256":"b072a842dbe666f61bb84e2fdae28c68778b127a51873ffca0a407baeb070e60","schema_version":"1.0","event_id":"sha256:b072a842dbe666f61bb84e2fdae28c68778b127a51873ffca0a407baeb070e60"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:RKJAHZERU6TEB6PYJ63BIRCCZG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"TinyGSM: achieving >80% on GSM8k with small language models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CL"],"primary_cat":"cs.LG","authors_text":"Anh Nguyen, Bingbin Liu, Janardhan Kulkarni, Rachel Ward, Ronen Eldan, Sebastien Bubeck, Yi Zhang, Yuanzhi Li","submitted_at":"2023-12-14T18:58:28Z","abstract_excerpt":"Small-scale models offer various computational advantages, and yet to which extent size is critical for problem-solving abilities remains an open question. Specifically for solving grade school math, the smallest model size so far required to break the 80\\% barrier on the GSM8K benchmark remains to be 34B. Our work studies how high-quality datasets may be the key for small language models to acquire mathematical reasoning. We introduce \\texttt{TinyGSM}, a synthetic dataset of 12.3M grade school math problems paired with Python solutions, generated fully by GPT-3.5. After finetuning on \\texttt{"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.09241","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/2312.09241/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":"2026-07-05T07:24:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+oKztyY37vqMeGLIcEIyrKGOApSgIjQy5/4fAw/1S057ny3SJ1YG8UeEUcr7fN513W4XYynItNf6R+5zOCzxBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T21:01:44.526750Z"},"content_sha256":"eb9631acb2ba29efa412756000e858ac0353f2e98a38ad09a19122600f4d4166","schema_version":"1.0","event_id":"sha256:eb9631acb2ba29efa412756000e858ac0353f2e98a38ad09a19122600f4d4166"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RKJAHZERU6TEB6PYJ63BIRCCZG/bundle.json","state_url":"https://pith.science/pith/RKJAHZERU6TEB6PYJ63BIRCCZG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RKJAHZERU6TEB6PYJ63BIRCCZG/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":"2026-08-14T21:01:44Z","links":{"resolver":"https://pith.science/pith/RKJAHZERU6TEB6PYJ63BIRCCZG","bundle":"https://pith.science/pith/RKJAHZERU6TEB6PYJ63BIRCCZG/bundle.json","state":"https://pith.science/pith/RKJAHZERU6TEB6PYJ63BIRCCZG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RKJAHZERU6TEB6PYJ63BIRCCZG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:RKJAHZERU6TEB6PYJ63BIRCCZG","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":"ce5ddcf8a2638e32314e672ca938209f0c8459c207f55e4ba4c47b3922fba6b4","cross_cats_sorted":["cs.CL"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2023-12-14T18:58:28Z","title_canon_sha256":"dc4e98083d1ef0117b7fdc67d69b770ff110738adaeb1a2621b14090041041c0"},"schema_version":"1.0","source":{"id":"2312.09241","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.09241","created_at":"2026-07-05T07:24:16Z"},{"alias_kind":"arxiv_version","alias_value":"2312.09241v1","created_at":"2026-07-05T07:24:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.09241","created_at":"2026-07-05T07:24:16Z"},{"alias_kind":"pith_short_12","alias_value":"RKJAHZERU6TE","created_at":"2026-07-05T07:24:16Z"},{"alias_kind":"pith_short_16","alias_value":"RKJAHZERU6TEB6PY","created_at":"2026-07-05T07:24:16Z"},{"alias_kind":"pith_short_8","alias_value":"RKJAHZER","created_at":"2026-07-05T07:24:16Z"}],"graph_snapshots":[{"event_id":"sha256:eb9631acb2ba29efa412756000e858ac0353f2e98a38ad09a19122600f4d4166","target":"graph","created_at":"2026-07-05T07:24:16Z","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/2312.09241/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Small-scale models offer various computational advantages, and yet to which extent size is critical for problem-solving abilities remains an open question. Specifically for solving grade school math, the smallest model size so far required to break the 80\\% barrier on the GSM8K benchmark remains to be 34B. Our work studies how high-quality datasets may be the key for small language models to acquire mathematical reasoning. We introduce \\texttt{TinyGSM}, a synthetic dataset of 12.3M grade school math problems paired with Python solutions, generated fully by GPT-3.5. After finetuning on \\texttt{","authors_text":"Anh Nguyen, Bingbin Liu, Janardhan Kulkarni, Rachel Ward, Ronen Eldan, Sebastien Bubeck, Yi Zhang, Yuanzhi Li","cross_cats":["cs.CL"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2023-12-14T18:58:28Z","title":"TinyGSM: achieving >80% on GSM8k with small language models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.09241","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:b072a842dbe666f61bb84e2fdae28c68778b127a51873ffca0a407baeb070e60","target":"record","created_at":"2026-07-05T07:24:16Z","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":"ce5ddcf8a2638e32314e672ca938209f0c8459c207f55e4ba4c47b3922fba6b4","cross_cats_sorted":["cs.CL"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2023-12-14T18:58:28Z","title_canon_sha256":"dc4e98083d1ef0117b7fdc67d69b770ff110738adaeb1a2621b14090041041c0"},"schema_version":"1.0","source":{"id":"2312.09241","kind":"arxiv","version":1}},"canonical_sha256":"8a9203e491a7a640f9f84fb6144442c9a65cf87ec8aa3aca99876991ccb6c42d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8a9203e491a7a640f9f84fb6144442c9a65cf87ec8aa3aca99876991ccb6c42d","first_computed_at":"2026-07-05T07:24:16.376186Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:24:16.376186Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XbXQv4ozB8U5QXVqAxwK3dFgWciQo/xDUxo+d0MPS/akOMmgwX8nZR1RIWCHgjY3TAbTqGWjQGPld7WnfME5DQ==","signature_status":"signed_v1","signed_at":"2026-07-05T07:24:16.376672Z","signed_message":"canonical_sha256_bytes"},"source_id":"2312.09241","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b072a842dbe666f61bb84e2fdae28c68778b127a51873ffca0a407baeb070e60","sha256:eb9631acb2ba29efa412756000e858ac0353f2e98a38ad09a19122600f4d4166"],"state_sha256":"2f10d532192f54699b76789d50d1ec1df28c18dfa9248be95594462b7869136f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XtAhgefffzFjHmuWm4hGe/LY68xQLkt/ItYiYICrL0vUmKt8+bnxFxCBZPGDrkI4+sfiwQwNp4VTCZw4hzpqAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T21:01:44.603862Z","bundle_sha256":"aa9708f9124790a23236331a92656cfc3ff55ec0394eff3ac1ef3e9fa508e569"}}