{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:5WCIEIX5KM6C3R3NNNKCPYJBFO","short_pith_number":"pith:5WCIEIX5","canonical_record":{"source":{"id":"2509.23292","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2025-09-27T13:10:37Z","cross_cats_sorted":["cs.CL"],"title_canon_sha256":"ff462ea66a0e1cf94b099b7ee4686e972c1092a2c4cabdd6f317d26d064b527a","abstract_canon_sha256":"e2a1990212f7b469a2e741d44ebd13999b2e7045d82e74aa0d1d570cc3329281"},"schema_version":"1.0"},"canonical_sha256":"ed848222fd533c2dc76d6b5427e1212ba8d9a4240db3bc2aabdc33fac469fabc","source":{"kind":"arxiv","id":"2509.23292","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.23292","created_at":"2026-06-30T02:17:09Z"},{"alias_kind":"arxiv_version","alias_value":"2509.23292v4","created_at":"2026-06-30T02:17:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.23292","created_at":"2026-06-30T02:17:09Z"},{"alias_kind":"pith_short_12","alias_value":"5WCIEIX5KM6C","created_at":"2026-06-30T02:17:09Z"},{"alias_kind":"pith_short_16","alias_value":"5WCIEIX5KM6C3R3N","created_at":"2026-06-30T02:17:09Z"},{"alias_kind":"pith_short_8","alias_value":"5WCIEIX5","created_at":"2026-06-30T02:17:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:5WCIEIX5KM6C3R3NNNKCPYJBFO","target":"record","payload":{"canonical_record":{"source":{"id":"2509.23292","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2025-09-27T13:10:37Z","cross_cats_sorted":["cs.CL"],"title_canon_sha256":"ff462ea66a0e1cf94b099b7ee4686e972c1092a2c4cabdd6f317d26d064b527a","abstract_canon_sha256":"e2a1990212f7b469a2e741d44ebd13999b2e7045d82e74aa0d1d570cc3329281"},"schema_version":"1.0"},"canonical_sha256":"ed848222fd533c2dc76d6b5427e1212ba8d9a4240db3bc2aabdc33fac469fabc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-30T02:17:09.792101Z","signature_b64":"3rdV11ZTYvVWhCRUSsv2ymkol3jK6491r8vN+JEn/WM62CZ9aK0cMQNiWrbXGZkQbjAc7XLpvgnM1MzMFoHxDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ed848222fd533c2dc76d6b5427e1212ba8d9a4240db3bc2aabdc33fac469fabc","last_reissued_at":"2026-06-30T02:17:09.791218Z","signature_status":"signed_v1","first_computed_at":"2026-06-30T02:17:09.791218Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2509.23292","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-30T02:17:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kYRbQoH0jn3ss24pzVR/pdjtfwf5oAipYc4dt+kyfn5bsddglBUvcgzrQhThUYmYd/UknU47T2yU3DqNP/73AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T23:08:22.770281Z"},"content_sha256":"71600cbc25b56b5b11cb20f9c7d2683dd6e70ce872a7400f5821649db2ad9745","schema_version":"1.0","event_id":"sha256:71600cbc25b56b5b11cb20f9c7d2683dd6e70ce872a7400f5821649db2ad9745"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:5WCIEIX5KM6C3R3NNNKCPYJBFO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Learning How to Use Tools, Not Just When: Pattern-Aware Tool-Integrated Reasoning","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.CL"],"primary_cat":"cs.AI","authors_text":"Hengyuan Zhang, Ningning Xu, Shubhashis Roy Dipta, Yuxuan Jiang","submitted_at":"2025-09-27T13:10:37Z","abstract_excerpt":"Tool-integrated reasoning (TIR) has become a key approach for improving large reasoning models (LRMs) on complex problems. Prior work has mainly studied when to invoke tools, while overlooking how tools are applied. We identify two common patterns: a calculator pattern that uses code for direct computation, and an algorithmic pattern that encodes problems as programs. Misaligned choices often cause failures even when reasoning is sound. We propose a two-stage framework that first builds code competence from both patterns and then aligns pattern selection with teacher preferences. Across challe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.23292","kind":"arxiv","version":4},"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/2509.23292/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":"2026-06-30T02:17:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TDCTimpX8uMWZByWvDF6n/7A3vUwtporgv63XoXbBOnapdy8kNqRI76BSDYPBKOMu8EtVVh8Sqh6DUGryqjTBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T23:08:22.770666Z"},"content_sha256":"fdfe463cec5c7b3f9b5a7c16a3163a8d1561f15aef1991e30bb7fac4d0b16be8","schema_version":"1.0","event_id":"sha256:fdfe463cec5c7b3f9b5a7c16a3163a8d1561f15aef1991e30bb7fac4d0b16be8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5WCIEIX5KM6C3R3NNNKCPYJBFO/bundle.json","state_url":"https://pith.science/pith/5WCIEIX5KM6C3R3NNNKCPYJBFO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5WCIEIX5KM6C3R3NNNKCPYJBFO/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":"2026-07-04T23:08:22Z","links":{"resolver":"https://pith.science/pith/5WCIEIX5KM6C3R3NNNKCPYJBFO","bundle":"https://pith.science/pith/5WCIEIX5KM6C3R3NNNKCPYJBFO/bundle.json","state":"https://pith.science/pith/5WCIEIX5KM6C3R3NNNKCPYJBFO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5WCIEIX5KM6C3R3NNNKCPYJBFO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:5WCIEIX5KM6C3R3NNNKCPYJBFO","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":"e2a1990212f7b469a2e741d44ebd13999b2e7045d82e74aa0d1d570cc3329281","cross_cats_sorted":["cs.CL"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2025-09-27T13:10:37Z","title_canon_sha256":"ff462ea66a0e1cf94b099b7ee4686e972c1092a2c4cabdd6f317d26d064b527a"},"schema_version":"1.0","source":{"id":"2509.23292","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.23292","created_at":"2026-06-30T02:17:09Z"},{"alias_kind":"arxiv_version","alias_value":"2509.23292v4","created_at":"2026-06-30T02:17:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.23292","created_at":"2026-06-30T02:17:09Z"},{"alias_kind":"pith_short_12","alias_value":"5WCIEIX5KM6C","created_at":"2026-06-30T02:17:09Z"},{"alias_kind":"pith_short_16","alias_value":"5WCIEIX5KM6C3R3N","created_at":"2026-06-30T02:17:09Z"},{"alias_kind":"pith_short_8","alias_value":"5WCIEIX5","created_at":"2026-06-30T02:17:09Z"}],"graph_snapshots":[{"event_id":"sha256:fdfe463cec5c7b3f9b5a7c16a3163a8d1561f15aef1991e30bb7fac4d0b16be8","target":"graph","created_at":"2026-06-30T02:17:09Z","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/2509.23292/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Tool-integrated reasoning (TIR) has become a key approach for improving large reasoning models (LRMs) on complex problems. Prior work has mainly studied when to invoke tools, while overlooking how tools are applied. We identify two common patterns: a calculator pattern that uses code for direct computation, and an algorithmic pattern that encodes problems as programs. Misaligned choices often cause failures even when reasoning is sound. We propose a two-stage framework that first builds code competence from both patterns and then aligns pattern selection with teacher preferences. Across challe","authors_text":"Hengyuan Zhang, Ningning Xu, Shubhashis Roy Dipta, Yuxuan Jiang","cross_cats":["cs.CL"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2025-09-27T13:10:37Z","title":"Learning How to Use Tools, Not Just When: Pattern-Aware Tool-Integrated Reasoning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.23292","kind":"arxiv","version":4},"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":"sha256:71600cbc25b56b5b11cb20f9c7d2683dd6e70ce872a7400f5821649db2ad9745","target":"record","created_at":"2026-06-30T02:17:09Z","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":"e2a1990212f7b469a2e741d44ebd13999b2e7045d82e74aa0d1d570cc3329281","cross_cats_sorted":["cs.CL"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2025-09-27T13:10:37Z","title_canon_sha256":"ff462ea66a0e1cf94b099b7ee4686e972c1092a2c4cabdd6f317d26d064b527a"},"schema_version":"1.0","source":{"id":"2509.23292","kind":"arxiv","version":4}},"canonical_sha256":"ed848222fd533c2dc76d6b5427e1212ba8d9a4240db3bc2aabdc33fac469fabc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ed848222fd533c2dc76d6b5427e1212ba8d9a4240db3bc2aabdc33fac469fabc","first_computed_at":"2026-06-30T02:17:09.791218Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-30T02:17:09.791218Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3rdV11ZTYvVWhCRUSsv2ymkol3jK6491r8vN+JEn/WM62CZ9aK0cMQNiWrbXGZkQbjAc7XLpvgnM1MzMFoHxDw==","signature_status":"signed_v1","signed_at":"2026-06-30T02:17:09.792101Z","signed_message":"canonical_sha256_bytes"},"source_id":"2509.23292","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:71600cbc25b56b5b11cb20f9c7d2683dd6e70ce872a7400f5821649db2ad9745","sha256:fdfe463cec5c7b3f9b5a7c16a3163a8d1561f15aef1991e30bb7fac4d0b16be8"],"state_sha256":"6a2688eda5e5c84500b870af9a4744b1f9f597f3fde6896f3a279dc49bff7252"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rExkQoMxvpQ7DjO7otnAYNBIrQaZXLNqvnUowNuxdhKhnx0qACcAU6BgVe8K6jc395AqU3OQ8OuXPx5Nz0jOBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T23:08:22.772955Z","bundle_sha256":"7b70f5823cb5a5e0c92f5c7096926d12b786c6bdd87e0fab6305c2dc63053840"}}