{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:YFTUNVJVQJMOO62CB7RLCGA2KB","short_pith_number":"pith:YFTUNVJV","canonical_record":{"source":{"id":"2502.17513","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-02-22T13:43:28Z","cross_cats_sorted":["cs.AI","cs.MS"],"title_canon_sha256":"6983130bbe620e2f8f4b422c8b04e9d0f27e7dd1520866fd5867ed49b7ad46aa","abstract_canon_sha256":"ffef79d15984d7a0da81b3d122d4526c75568ad8ffe36187d117ad5e884d6469"},"schema_version":"1.0"},"canonical_sha256":"c16746d5358258e77b420fe2b1181a506c08292f056c7ace2359cc8c9e936b46","source":{"kind":"arxiv","id":"2502.17513","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.17513","created_at":"2026-07-05T10:38:43Z"},{"alias_kind":"arxiv_version","alias_value":"2502.17513v2","created_at":"2026-07-05T10:38:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.17513","created_at":"2026-07-05T10:38:43Z"},{"alias_kind":"pith_short_12","alias_value":"YFTUNVJVQJMO","created_at":"2026-07-05T10:38:43Z"},{"alias_kind":"pith_short_16","alias_value":"YFTUNVJVQJMOO62C","created_at":"2026-07-05T10:38:43Z"},{"alias_kind":"pith_short_8","alias_value":"YFTUNVJV","created_at":"2026-07-05T10:38:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:YFTUNVJVQJMOO62CB7RLCGA2KB","target":"record","payload":{"canonical_record":{"source":{"id":"2502.17513","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-02-22T13:43:28Z","cross_cats_sorted":["cs.AI","cs.MS"],"title_canon_sha256":"6983130bbe620e2f8f4b422c8b04e9d0f27e7dd1520866fd5867ed49b7ad46aa","abstract_canon_sha256":"ffef79d15984d7a0da81b3d122d4526c75568ad8ffe36187d117ad5e884d6469"},"schema_version":"1.0"},"canonical_sha256":"c16746d5358258e77b420fe2b1181a506c08292f056c7ace2359cc8c9e936b46","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:38:43.067465Z","signature_b64":"bCKCQJLlFy3Xep15ONPINb3AsxvSaJoImRuOBLXQt5LqCq3Oncaxz6r47v5SBCeE5CnJ4/Anxze1okMMEe2eBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c16746d5358258e77b420fe2b1181a506c08292f056c7ace2359cc8c9e936b46","last_reissued_at":"2026-07-05T10:38:43.066926Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:38:43.066926Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2502.17513","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:38:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iWej7EzZXaM2/CgHavHmC3WpPZ8a6rxm6bqhoW2NRl075OlB4Y7/wrScdThioy2hIg+f1Iu0kXTAqCoUNYGPAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T10:26:18.621240Z"},"content_sha256":"a6e826e005e3e899b5f622d4d672fc03905a4842b6521cef8d210b175ce4f366","schema_version":"1.0","event_id":"sha256:a6e826e005e3e899b5f622d4d672fc03905a4842b6521cef8d210b175ce4f366"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:YFTUNVJVQJMOO62CB7RLCGA2KB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Int2Int: a framework for mathematics with transformers","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.AI","cs.MS"],"primary_cat":"cs.LG","authors_text":"Fran\\c{c}ois Charton","submitted_at":"2025-02-22T13:43:28Z","abstract_excerpt":"This paper documents Int2Int, an open source code base for using transformers on problems of mathematical research, with a focus on number theory and other problems involving integers. Int2Int is a complete PyTorch implementation of a transformer architecture, together with training and evaluation loops, and classes and functions to represent, generate and decode common mathematical objects. Ancillary code for data preparation, and Jupyter Notebooks for visualizing experimental results are also provided. This document presents the main features of Int2Int, serves as its user manual, and provid"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.17513","kind":"arxiv","version":2},"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/2502.17513/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":"2026-07-05T10:38:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9dwayjxbHuG/odLhghpc6PNRD8bXhb/4LFwoQQkF1bZVMFIOjBPc5dY48+V4290Huvy1aoYJKlh5FU7e7sjdCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T10:26:18.622513Z"},"content_sha256":"f9c2da88426d3ebb51cbae8a704352b0436efa1cca66cba3072a22f2b3c192bf","schema_version":"1.0","event_id":"sha256:f9c2da88426d3ebb51cbae8a704352b0436efa1cca66cba3072a22f2b3c192bf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YFTUNVJVQJMOO62CB7RLCGA2KB/bundle.json","state_url":"https://pith.science/pith/YFTUNVJVQJMOO62CB7RLCGA2KB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YFTUNVJVQJMOO62CB7RLCGA2KB/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":"2026-08-12T10:26:18Z","links":{"resolver":"https://pith.science/pith/YFTUNVJVQJMOO62CB7RLCGA2KB","bundle":"https://pith.science/pith/YFTUNVJVQJMOO62CB7RLCGA2KB/bundle.json","state":"https://pith.science/pith/YFTUNVJVQJMOO62CB7RLCGA2KB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YFTUNVJVQJMOO62CB7RLCGA2KB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:YFTUNVJVQJMOO62CB7RLCGA2KB","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":"ffef79d15984d7a0da81b3d122d4526c75568ad8ffe36187d117ad5e884d6469","cross_cats_sorted":["cs.AI","cs.MS"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-02-22T13:43:28Z","title_canon_sha256":"6983130bbe620e2f8f4b422c8b04e9d0f27e7dd1520866fd5867ed49b7ad46aa"},"schema_version":"1.0","source":{"id":"2502.17513","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.17513","created_at":"2026-07-05T10:38:43Z"},{"alias_kind":"arxiv_version","alias_value":"2502.17513v2","created_at":"2026-07-05T10:38:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.17513","created_at":"2026-07-05T10:38:43Z"},{"alias_kind":"pith_short_12","alias_value":"YFTUNVJVQJMO","created_at":"2026-07-05T10:38:43Z"},{"alias_kind":"pith_short_16","alias_value":"YFTUNVJVQJMOO62C","created_at":"2026-07-05T10:38:43Z"},{"alias_kind":"pith_short_8","alias_value":"YFTUNVJV","created_at":"2026-07-05T10:38:43Z"}],"graph_snapshots":[{"event_id":"sha256:f9c2da88426d3ebb51cbae8a704352b0436efa1cca66cba3072a22f2b3c192bf","target":"graph","created_at":"2026-07-05T10:38:43Z","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/2502.17513/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper documents Int2Int, an open source code base for using transformers on problems of mathematical research, with a focus on number theory and other problems involving integers. Int2Int is a complete PyTorch implementation of a transformer architecture, together with training and evaluation loops, and classes and functions to represent, generate and decode common mathematical objects. Ancillary code for data preparation, and Jupyter Notebooks for visualizing experimental results are also provided. This document presents the main features of Int2Int, serves as its user manual, and provid","authors_text":"Fran\\c{c}ois Charton","cross_cats":["cs.AI","cs.MS"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-02-22T13:43:28Z","title":"Int2Int: a framework for mathematics with transformers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.17513","kind":"arxiv","version":2},"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:a6e826e005e3e899b5f622d4d672fc03905a4842b6521cef8d210b175ce4f366","target":"record","created_at":"2026-07-05T10:38:43Z","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":"ffef79d15984d7a0da81b3d122d4526c75568ad8ffe36187d117ad5e884d6469","cross_cats_sorted":["cs.AI","cs.MS"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-02-22T13:43:28Z","title_canon_sha256":"6983130bbe620e2f8f4b422c8b04e9d0f27e7dd1520866fd5867ed49b7ad46aa"},"schema_version":"1.0","source":{"id":"2502.17513","kind":"arxiv","version":2}},"canonical_sha256":"c16746d5358258e77b420fe2b1181a506c08292f056c7ace2359cc8c9e936b46","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c16746d5358258e77b420fe2b1181a506c08292f056c7ace2359cc8c9e936b46","first_computed_at":"2026-07-05T10:38:43.066926Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:38:43.066926Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bCKCQJLlFy3Xep15ONPINb3AsxvSaJoImRuOBLXQt5LqCq3Oncaxz6r47v5SBCeE5CnJ4/Anxze1okMMEe2eBw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:38:43.067465Z","signed_message":"canonical_sha256_bytes"},"source_id":"2502.17513","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a6e826e005e3e899b5f622d4d672fc03905a4842b6521cef8d210b175ce4f366","sha256:f9c2da88426d3ebb51cbae8a704352b0436efa1cca66cba3072a22f2b3c192bf"],"state_sha256":"8133e7d31f6f1b04d9f9a77cc3e141924f888f2b68fe60ca611bec6cf2f46050"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i5WlTRXxaLDnuv7OY1FB7hcafJHVk3gyNYmzIjn0+h129qbLDBgYkH92xyYAC8mNZrRLRHHoEPC1hjSQd0NJBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T10:26:18.629772Z","bundle_sha256":"fc9ff5138bcce6c5648976b755cdc88608e0c1ee39753a33c84b94e31399b123"}}