{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:OCKN2I2GIWI5SGDN7B2ZOBCWB7","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":"7e6f2d9d18e85763f7a86f25ca0b8f218f900034116b1ce6eb367ebbfba71bb9","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2021-04-29T03:52:46Z","title_canon_sha256":"80f4f2b2664ba174ca4546cc0f6ba4db9ab93d2bea15402b1d0e8ab0e6b0ddae"},"schema_version":"1.0","source":{"id":"2104.14095","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2104.14095","created_at":"2026-07-05T02:36:13Z"},{"alias_kind":"arxiv_version","alias_value":"2104.14095v1","created_at":"2026-07-05T02:36:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2104.14095","created_at":"2026-07-05T02:36:13Z"},{"alias_kind":"pith_short_12","alias_value":"OCKN2I2GIWI5","created_at":"2026-07-05T02:36:13Z"},{"alias_kind":"pith_short_16","alias_value":"OCKN2I2GIWI5SGDN","created_at":"2026-07-05T02:36:13Z"},{"alias_kind":"pith_short_8","alias_value":"OCKN2I2G","created_at":"2026-07-05T02:36:13Z"}],"graph_snapshots":[{"event_id":"sha256:955f854b32cbda76799fa01af295e78f5e678f0fc54fde679905ab09bdcdf116","target":"graph","created_at":"2026-07-05T02:36:13Z","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/2104.14095/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Symbolic Mathematical tasks such as integration often require multiple well-defined steps and understanding of sub-tasks to reach a solution. To understand Transformers' abilities in such tasks in a fine-grained manner, we deviate from traditional end-to-end settings, and explore a step-wise polynomial simplification task. Polynomials can be written in a simple normal form as a sum of monomials which are ordered in a lexicographic order. For a polynomial which is not necessarily in this normal form, a sequence of simplification steps is applied to reach the fully simplified (i.e., in the norma","authors_text":"Navin Goyal, Somak Aditya, Vishesh Agarwal","cross_cats":["cs.LG"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2021-04-29T03:52:46Z","title":"Analyzing the Nuances of Transformers' Polynomial Simplification Abilities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2104.14095","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":"sha256:72d7bd805b466ed75351d1bf7bf0996d38a17e40ca6c7d9a097f313297d02e04","target":"record","created_at":"2026-07-05T02:36:13Z","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":"7e6f2d9d18e85763f7a86f25ca0b8f218f900034116b1ce6eb367ebbfba71bb9","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2021-04-29T03:52:46Z","title_canon_sha256":"80f4f2b2664ba174ca4546cc0f6ba4db9ab93d2bea15402b1d0e8ab0e6b0ddae"},"schema_version":"1.0","source":{"id":"2104.14095","kind":"arxiv","version":1}},"canonical_sha256":"7094dd23464591d9186df8759704560fc436c6d9e8965afee03453ec401962ef","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7094dd23464591d9186df8759704560fc436c6d9e8965afee03453ec401962ef","first_computed_at":"2026-07-05T02:36:13.044750Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:36:13.044750Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K2GR5MBx+pAFAQ8q1B0XyUa9s4qQweA22lXNDn6Zs94stqDUKvk4dCMEojCvw9B1a+YlFvebZYkG8FWQWRs4DQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:36:13.045225Z","signed_message":"canonical_sha256_bytes"},"source_id":"2104.14095","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:72d7bd805b466ed75351d1bf7bf0996d38a17e40ca6c7d9a097f313297d02e04","sha256:955f854b32cbda76799fa01af295e78f5e678f0fc54fde679905ab09bdcdf116"],"state_sha256":"be7147c7360838c65aa9cc8cb7a66d65cab2ac3d6e697ed61e1b4aa0c93bc6d0"}