{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:SB55EJJSTWB75D3HFTCRQHIY2S","short_pith_number":"pith:SB55EJJS","canonical_record":{"source":{"id":"2607.23108","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.RO","submitted_at":"2026-07-25T08:41:52Z","cross_cats_sorted":[],"title_canon_sha256":"3dfba641c6d16f7bca82cd57c36901f3a85e240ac63944b5665c5ba5f4eaa72f","abstract_canon_sha256":"391180494835234a53d1c6b5a2d99a8aa5ce0097b17b05c6ad1ca7ac48bd609e"},"schema_version":"1.0"},"canonical_sha256":"907bd225329d83fe8f672cc5181d18d49c6276c1b8ad51d65495899d03a9180c","source":{"kind":"arxiv","id":"2607.23108","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.23108","created_at":"2026-07-28T01:22:07Z"},{"alias_kind":"arxiv_version","alias_value":"2607.23108v1","created_at":"2026-07-28T01:22:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.23108","created_at":"2026-07-28T01:22:07Z"},{"alias_kind":"pith_short_12","alias_value":"SB55EJJSTWB7","created_at":"2026-07-28T01:22:07Z"},{"alias_kind":"pith_short_16","alias_value":"SB55EJJSTWB75D3H","created_at":"2026-07-28T01:22:07Z"},{"alias_kind":"pith_short_8","alias_value":"SB55EJJS","created_at":"2026-07-28T01:22:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:SB55EJJSTWB75D3HFTCRQHIY2S","target":"record","payload":{"canonical_record":{"source":{"id":"2607.23108","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.RO","submitted_at":"2026-07-25T08:41:52Z","cross_cats_sorted":[],"title_canon_sha256":"3dfba641c6d16f7bca82cd57c36901f3a85e240ac63944b5665c5ba5f4eaa72f","abstract_canon_sha256":"391180494835234a53d1c6b5a2d99a8aa5ce0097b17b05c6ad1ca7ac48bd609e"},"schema_version":"1.0"},"canonical_sha256":"907bd225329d83fe8f672cc5181d18d49c6276c1b8ad51d65495899d03a9180c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-28T01:22:07.111854Z","signature_b64":"D2uJy4x6AErLTDnKnDpAzJYcPeRDbJBaA4xCYtgLPZ7BMdqUZeql92Zlx+nuDhvs3fBEcpD574yUkNMvmh8eAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"907bd225329d83fe8f672cc5181d18d49c6276c1b8ad51d65495899d03a9180c","last_reissued_at":"2026-07-28T01:22:07.111026Z","signature_status":"signed_v1","first_computed_at":"2026-07-28T01:22:07.111026Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.23108","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":"2026-07-28T01:22:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TNKgk6TAl7XHHgOfNC5WBVAwcbTJMyLBnFz9ruaa0Ghhy/azy3r/L8CN8V+jdNJ7CyHtVLskLkjoDlq2ymyQBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T21:36:52.483339Z"},"content_sha256":"a82f80a250388512190cd7d0fa30fe3ab3e46fec89c2eda4e01ac3cd328e910d","schema_version":"1.0","event_id":"sha256:a82f80a250388512190cd7d0fa30fe3ab3e46fec89c2eda4e01ac3cd328e910d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:SB55EJJSTWB75D3HFTCRQHIY2S","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Curse of Precision: A Data Scaling Law for High-Precision Robotic Manipulation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.RO","authors_text":"Cuijie Xu, Jianjie Lin, Jian Wang, Jincheng Yu, Min Xue, Xudong Zhang, Yuanfan Xu, Yu Wang","submitted_at":"2026-07-25T08:41:52Z","abstract_excerpt":"While scaling laws for imitation learning have primarily focused on generalization in open-world settings, the relationship between data and precision in closed-world tasks like robotic assembly remains largely unexplored. This paper systematically investigates this relationship and introduces a novel scaling law. We find that to achieve a fixed success rate, the required number of demonstrations $N$ grows super-exponentially as the target precision $P$ approaches a limit $c$. This relationship is accurately captured by the model $\\log(N) \\propto 1/(P-c)$. Crucially, we reveal that the limit p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.23108","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/2607.23108/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":"2026-07-28T01:22:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fJwDVzII5zVSecO+KtoI9RFnyE0rxscfYEngwvZczWQJwjdDx/Y3pBY+bbHzGuZbYCxUFSA1JkHXBktydNdkBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T21:36:52.483845Z"},"content_sha256":"8f677c416a8c835fc01f7da4c91f8c3b82e842f546b2ec2117ed9406cfcbc4a9","schema_version":"1.0","event_id":"sha256:8f677c416a8c835fc01f7da4c91f8c3b82e842f546b2ec2117ed9406cfcbc4a9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SB55EJJSTWB75D3HFTCRQHIY2S/bundle.json","state_url":"https://pith.science/pith/SB55EJJSTWB75D3HFTCRQHIY2S/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SB55EJJSTWB75D3HFTCRQHIY2S/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":"2026-08-04T21:36:52Z","links":{"resolver":"https://pith.science/pith/SB55EJJSTWB75D3HFTCRQHIY2S","bundle":"https://pith.science/pith/SB55EJJSTWB75D3HFTCRQHIY2S/bundle.json","state":"https://pith.science/pith/SB55EJJSTWB75D3HFTCRQHIY2S/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SB55EJJSTWB75D3HFTCRQHIY2S/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:SB55EJJSTWB75D3HFTCRQHIY2S","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":"391180494835234a53d1c6b5a2d99a8aa5ce0097b17b05c6ad1ca7ac48bd609e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.RO","submitted_at":"2026-07-25T08:41:52Z","title_canon_sha256":"3dfba641c6d16f7bca82cd57c36901f3a85e240ac63944b5665c5ba5f4eaa72f"},"schema_version":"1.0","source":{"id":"2607.23108","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.23108","created_at":"2026-07-28T01:22:07Z"},{"alias_kind":"arxiv_version","alias_value":"2607.23108v1","created_at":"2026-07-28T01:22:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.23108","created_at":"2026-07-28T01:22:07Z"},{"alias_kind":"pith_short_12","alias_value":"SB55EJJSTWB7","created_at":"2026-07-28T01:22:07Z"},{"alias_kind":"pith_short_16","alias_value":"SB55EJJSTWB75D3H","created_at":"2026-07-28T01:22:07Z"},{"alias_kind":"pith_short_8","alias_value":"SB55EJJS","created_at":"2026-07-28T01:22:07Z"}],"graph_snapshots":[{"event_id":"sha256:8f677c416a8c835fc01f7da4c91f8c3b82e842f546b2ec2117ed9406cfcbc4a9","target":"graph","created_at":"2026-07-28T01:22:07Z","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/2607.23108/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"While scaling laws for imitation learning have primarily focused on generalization in open-world settings, the relationship between data and precision in closed-world tasks like robotic assembly remains largely unexplored. This paper systematically investigates this relationship and introduces a novel scaling law. We find that to achieve a fixed success rate, the required number of demonstrations $N$ grows super-exponentially as the target precision $P$ approaches a limit $c$. This relationship is accurately captured by the model $\\log(N) \\propto 1/(P-c)$. Crucially, we reveal that the limit p","authors_text":"Cuijie Xu, Jianjie Lin, Jian Wang, Jincheng Yu, Min Xue, Xudong Zhang, Yuanfan Xu, Yu Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.RO","submitted_at":"2026-07-25T08:41:52Z","title":"The Curse of Precision: A Data Scaling Law for High-Precision Robotic Manipulation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.23108","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:a82f80a250388512190cd7d0fa30fe3ab3e46fec89c2eda4e01ac3cd328e910d","target":"record","created_at":"2026-07-28T01:22:07Z","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":"391180494835234a53d1c6b5a2d99a8aa5ce0097b17b05c6ad1ca7ac48bd609e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.RO","submitted_at":"2026-07-25T08:41:52Z","title_canon_sha256":"3dfba641c6d16f7bca82cd57c36901f3a85e240ac63944b5665c5ba5f4eaa72f"},"schema_version":"1.0","source":{"id":"2607.23108","kind":"arxiv","version":1}},"canonical_sha256":"907bd225329d83fe8f672cc5181d18d49c6276c1b8ad51d65495899d03a9180c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"907bd225329d83fe8f672cc5181d18d49c6276c1b8ad51d65495899d03a9180c","first_computed_at":"2026-07-28T01:22:07.111026Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-28T01:22:07.111026Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"D2uJy4x6AErLTDnKnDpAzJYcPeRDbJBaA4xCYtgLPZ7BMdqUZeql92Zlx+nuDhvs3fBEcpD574yUkNMvmh8eAQ==","signature_status":"signed_v1","signed_at":"2026-07-28T01:22:07.111854Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.23108","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a82f80a250388512190cd7d0fa30fe3ab3e46fec89c2eda4e01ac3cd328e910d","sha256:8f677c416a8c835fc01f7da4c91f8c3b82e842f546b2ec2117ed9406cfcbc4a9"],"state_sha256":"aeeab4b7c597566f525d467bf04a85233e510dc09cdbadc57c9c0784f9b1e301"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vopz2b+loNdc/jm4wyJbafOzoWfzV3BHhDRgAvYkgZhjQ4VfKvt7+dAC34+C+8U2/7bLKB1716JlZ2i8xvTpDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T21:36:52.487526Z","bundle_sha256":"8513f42281cb5828c176dbffec1538435bba3a6bdd6abb03d736ece8a89f8171"}}