{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:FXKPT6A5BLEPOAQWB7YOVNPAJA","short_pith_number":"pith:FXKPT6A5","canonical_record":{"source":{"id":"2404.11041","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.AI","submitted_at":"2024-04-17T03:34:27Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"060495add59d9b462095c4e72e9f91c966024046f805dbac9df60c3b6701faaf","abstract_canon_sha256":"2d0a62eeb5cd8266a14720eb65188fdd3d58442db7ceb5bbe3026c484e5edac3"},"schema_version":"1.0"},"canonical_sha256":"2dd4f9f81d0ac8f702160ff0eab5e04834e2e52002cf938bed6e97f0eec6942f","source":{"kind":"arxiv","id":"2404.11041","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.11041","created_at":"2026-07-05T08:33:39Z"},{"alias_kind":"arxiv_version","alias_value":"2404.11041v2","created_at":"2026-07-05T08:33:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.11041","created_at":"2026-07-05T08:33:39Z"},{"alias_kind":"pith_short_12","alias_value":"FXKPT6A5BLEP","created_at":"2026-07-05T08:33:39Z"},{"alias_kind":"pith_short_16","alias_value":"FXKPT6A5BLEPOAQW","created_at":"2026-07-05T08:33:39Z"},{"alias_kind":"pith_short_8","alias_value":"FXKPT6A5","created_at":"2026-07-05T08:33:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:FXKPT6A5BLEPOAQWB7YOVNPAJA","target":"record","payload":{"canonical_record":{"source":{"id":"2404.11041","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.AI","submitted_at":"2024-04-17T03:34:27Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"060495add59d9b462095c4e72e9f91c966024046f805dbac9df60c3b6701faaf","abstract_canon_sha256":"2d0a62eeb5cd8266a14720eb65188fdd3d58442db7ceb5bbe3026c484e5edac3"},"schema_version":"1.0"},"canonical_sha256":"2dd4f9f81d0ac8f702160ff0eab5e04834e2e52002cf938bed6e97f0eec6942f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:33:39.056552Z","signature_b64":"rS6+BTVL1a6eTNOC5PkeNEXcjgGaVnFiYVdAfqooIxTGzo7VbYKgt34UKEewHZ3afSj4OkSUlNc6Qs38VAC2AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2dd4f9f81d0ac8f702160ff0eab5e04834e2e52002cf938bed6e97f0eec6942f","last_reissued_at":"2026-07-05T08:33:39.055957Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:33:39.055957Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2404.11041","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":"2026-07-05T08:33:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DZbWOVbkXtd7e2/aa3I0osjizxVoLlvRNSgDaWcNoIkpVX/BYTADx3zmV2+V72wLThJV3wuqdBe3IwthOIrDAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T21:33:26.397923Z"},"content_sha256":"723e6c8381c2e02bc21835466106694b8fb81f7ddc42a643b1b4e4690a209981","schema_version":"1.0","event_id":"sha256:723e6c8381c2e02bc21835466106694b8fb81f7ddc42a643b1b4e4690a209981"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:FXKPT6A5BLEPOAQWB7YOVNPAJA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Empirical Complexity of Reasoning and Planning in LLMs","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["cs.LG"],"primary_cat":"cs.AI","authors_text":"David Hsu, Liwei Kang, Wee Sun Lee, Zirui Zhao","submitted_at":"2024-04-17T03:34:27Z","abstract_excerpt":"Chain-of-thought (CoT), tree-of-thought (ToT), and related techniques work surprisingly well in practice for some complex reasoning tasks with Large Language Models (LLMs), but why? This work seeks the underlying reasons by conducting experimental case studies and linking the performance benefits to well-established sample and computational complexity principles in machine learning. We experimented with 6 reasoning tasks, ranging from grade school math, air travel planning, ..., to Blocksworld. The results suggest that (i) both CoT and ToT benefit significantly from task decomposition, which b"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.11041","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/2404.11041/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":"2026-07-05T08:33:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GOVRYoKTfmeyRVTaI7S3BOVgb3hY5+66AVjVpkxzOPmLfn/UbmuVlkSBuAXEaSxNLfFMLSbw9PPEieKp68bfAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T21:33:26.398450Z"},"content_sha256":"b65f16aca7fe5eff31182795a6c8e8d5e137ff79959d8bb36e930572a167d3dd","schema_version":"1.0","event_id":"sha256:b65f16aca7fe5eff31182795a6c8e8d5e137ff79959d8bb36e930572a167d3dd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FXKPT6A5BLEPOAQWB7YOVNPAJA/bundle.json","state_url":"https://pith.science/pith/FXKPT6A5BLEPOAQWB7YOVNPAJA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FXKPT6A5BLEPOAQWB7YOVNPAJA/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":"2026-08-08T21:33:26Z","links":{"resolver":"https://pith.science/pith/FXKPT6A5BLEPOAQWB7YOVNPAJA","bundle":"https://pith.science/pith/FXKPT6A5BLEPOAQWB7YOVNPAJA/bundle.json","state":"https://pith.science/pith/FXKPT6A5BLEPOAQWB7YOVNPAJA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FXKPT6A5BLEPOAQWB7YOVNPAJA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:FXKPT6A5BLEPOAQWB7YOVNPAJA","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":"2d0a62eeb5cd8266a14720eb65188fdd3d58442db7ceb5bbe3026c484e5edac3","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.AI","submitted_at":"2024-04-17T03:34:27Z","title_canon_sha256":"060495add59d9b462095c4e72e9f91c966024046f805dbac9df60c3b6701faaf"},"schema_version":"1.0","source":{"id":"2404.11041","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.11041","created_at":"2026-07-05T08:33:39Z"},{"alias_kind":"arxiv_version","alias_value":"2404.11041v2","created_at":"2026-07-05T08:33:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.11041","created_at":"2026-07-05T08:33:39Z"},{"alias_kind":"pith_short_12","alias_value":"FXKPT6A5BLEP","created_at":"2026-07-05T08:33:39Z"},{"alias_kind":"pith_short_16","alias_value":"FXKPT6A5BLEPOAQW","created_at":"2026-07-05T08:33:39Z"},{"alias_kind":"pith_short_8","alias_value":"FXKPT6A5","created_at":"2026-07-05T08:33:39Z"}],"graph_snapshots":[{"event_id":"sha256:b65f16aca7fe5eff31182795a6c8e8d5e137ff79959d8bb36e930572a167d3dd","target":"graph","created_at":"2026-07-05T08:33:39Z","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/2404.11041/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Chain-of-thought (CoT), tree-of-thought (ToT), and related techniques work surprisingly well in practice for some complex reasoning tasks with Large Language Models (LLMs), but why? This work seeks the underlying reasons by conducting experimental case studies and linking the performance benefits to well-established sample and computational complexity principles in machine learning. We experimented with 6 reasoning tasks, ranging from grade school math, air travel planning, ..., to Blocksworld. The results suggest that (i) both CoT and ToT benefit significantly from task decomposition, which b","authors_text":"David Hsu, Liwei Kang, Wee Sun Lee, Zirui Zhao","cross_cats":["cs.LG"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.AI","submitted_at":"2024-04-17T03:34:27Z","title":"On the Empirical Complexity of Reasoning and Planning in LLMs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.11041","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":"sha256:723e6c8381c2e02bc21835466106694b8fb81f7ddc42a643b1b4e4690a209981","target":"record","created_at":"2026-07-05T08:33:39Z","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":"2d0a62eeb5cd8266a14720eb65188fdd3d58442db7ceb5bbe3026c484e5edac3","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.AI","submitted_at":"2024-04-17T03:34:27Z","title_canon_sha256":"060495add59d9b462095c4e72e9f91c966024046f805dbac9df60c3b6701faaf"},"schema_version":"1.0","source":{"id":"2404.11041","kind":"arxiv","version":2}},"canonical_sha256":"2dd4f9f81d0ac8f702160ff0eab5e04834e2e52002cf938bed6e97f0eec6942f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2dd4f9f81d0ac8f702160ff0eab5e04834e2e52002cf938bed6e97f0eec6942f","first_computed_at":"2026-07-05T08:33:39.055957Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:33:39.055957Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rS6+BTVL1a6eTNOC5PkeNEXcjgGaVnFiYVdAfqooIxTGzo7VbYKgt34UKEewHZ3afSj4OkSUlNc6Qs38VAC2AQ==","signature_status":"signed_v1","signed_at":"2026-07-05T08:33:39.056552Z","signed_message":"canonical_sha256_bytes"},"source_id":"2404.11041","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:723e6c8381c2e02bc21835466106694b8fb81f7ddc42a643b1b4e4690a209981","sha256:b65f16aca7fe5eff31182795a6c8e8d5e137ff79959d8bb36e930572a167d3dd"],"state_sha256":"e01422d87c98b2802fbeda83e4a9d262c1d73ce36ded377d498395ad0bd65d7a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PflWR3RUYR5hdEgfMOvFvtAxjtWgZPxiAvZNQtG/L9hxW+5nr7v8+X3QaAZL9xRQbtHK0/C98jwvdaarYLITDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T21:33:26.402687Z","bundle_sha256":"e00f469c748b0e910cb1b81cc5868466dba24aaa326ac5154cd2a35002ea3a9d"}}