{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:YRMZW2VYP3XOMMY7HK5TZXLSJ3","short_pith_number":"pith:YRMZW2VY","canonical_record":{"source":{"id":"2412.08579","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-12-11T17:56:31Z","cross_cats_sorted":["cs.NA","stat.ML"],"title_canon_sha256":"3bcd4f91aab2e9551ae3cfb6a6675feb35be0fd98498ec6d041d3065f5db55af","abstract_canon_sha256":"faaa9e8b3a2aa2636b9857b7940a515f4580ac280a2c1992ac5d111cc1ccb91c"},"schema_version":"1.0"},"canonical_sha256":"c4599b6ab87eeee6331f3abb3cdd724ed8f38f095cac3f21be973eabd44b4312","source":{"kind":"arxiv","id":"2412.08579","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.08579","created_at":"2026-07-05T09:50:37Z"},{"alias_kind":"arxiv_version","alias_value":"2412.08579v2","created_at":"2026-07-05T09:50:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.08579","created_at":"2026-07-05T09:50:37Z"},{"alias_kind":"pith_short_12","alias_value":"YRMZW2VYP3XO","created_at":"2026-07-05T09:50:37Z"},{"alias_kind":"pith_short_16","alias_value":"YRMZW2VYP3XOMMY7","created_at":"2026-07-05T09:50:37Z"},{"alias_kind":"pith_short_8","alias_value":"YRMZW2VY","created_at":"2026-07-05T09:50:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:YRMZW2VYP3XOMMY7HK5TZXLSJ3","target":"record","payload":{"canonical_record":{"source":{"id":"2412.08579","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-12-11T17:56:31Z","cross_cats_sorted":["cs.NA","stat.ML"],"title_canon_sha256":"3bcd4f91aab2e9551ae3cfb6a6675feb35be0fd98498ec6d041d3065f5db55af","abstract_canon_sha256":"faaa9e8b3a2aa2636b9857b7940a515f4580ac280a2c1992ac5d111cc1ccb91c"},"schema_version":"1.0"},"canonical_sha256":"c4599b6ab87eeee6331f3abb3cdd724ed8f38f095cac3f21be973eabd44b4312","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:50:37.031778Z","signature_b64":"MiaxmkWEt2XWF3QhqmrpfTxuQyGVN8DLxTsLer9xTkClX2Zgdh4D6agQD6DGTMV5GwINJGRsi6bCVKStY0+HAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c4599b6ab87eeee6331f3abb3cdd724ed8f38f095cac3f21be973eabd44b4312","last_reissued_at":"2026-07-05T09:50:37.031311Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:50:37.031311Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2412.08579","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":"2026-07-05T09:50:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X9ZuYoZD++CUoVbzsvX2EXeuh6VCSqKzvd6PzMhaooUtbhtimBvK0UsALkAI2k7DCtScam/uuA64vyAE4TclCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-31T16:05:01.279196Z"},"content_sha256":"f5268cf52b105fe75e4e12835b24e5c3371789055bb57e49cd79f7395aa4c7dc","schema_version":"1.0","event_id":"sha256:f5268cf52b105fe75e4e12835b24e5c3371789055bb57e49cd79f7395aa4c7dc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:YRMZW2VYP3XOMMY7HK5TZXLSJ3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sparse Signature Coefficient Recovery via Kernels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","stat.ML"],"primary_cat":"math.NA","authors_text":"Cristopher Salvi, Daniil Shmelev","submitted_at":"2024-12-11T17:56:31Z","abstract_excerpt":"Central to rough path theory is the signature transform of a path, an infinite series of tensors given by the iterated integrals of the underlying path. The signature poses an effective way to capture sequentially ordered information, thanks both to its rich analytic and algebraic properties as well as its universality when used as a basis to approximate functions on path space. Whilst a truncated version of the signature can be efficiently computed using Chen's identity, there is a lack of efficient methods for computing a sparse collection of iterated integrals contained in high levels of th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.08579","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/2412.08579/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":"2026-07-05T09:50:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N9qj3ZT66sZWIRndDttPGoQToR0D55SxkjUIJJyYZfvRT85RONeoN03w6QQxgYjCnfGxnoRynaqTOT4g7hb7Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-31T16:05:01.279584Z"},"content_sha256":"dad74dd2a293d37992d5ea34a47494b034a6597fefd7b340bbbca13e8e3a3f7e","schema_version":"1.0","event_id":"sha256:dad74dd2a293d37992d5ea34a47494b034a6597fefd7b340bbbca13e8e3a3f7e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YRMZW2VYP3XOMMY7HK5TZXLSJ3/bundle.json","state_url":"https://pith.science/pith/YRMZW2VYP3XOMMY7HK5TZXLSJ3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YRMZW2VYP3XOMMY7HK5TZXLSJ3/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":"2026-07-31T16:05:01Z","links":{"resolver":"https://pith.science/pith/YRMZW2VYP3XOMMY7HK5TZXLSJ3","bundle":"https://pith.science/pith/YRMZW2VYP3XOMMY7HK5TZXLSJ3/bundle.json","state":"https://pith.science/pith/YRMZW2VYP3XOMMY7HK5TZXLSJ3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YRMZW2VYP3XOMMY7HK5TZXLSJ3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:YRMZW2VYP3XOMMY7HK5TZXLSJ3","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":"faaa9e8b3a2aa2636b9857b7940a515f4580ac280a2c1992ac5d111cc1ccb91c","cross_cats_sorted":["cs.NA","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-12-11T17:56:31Z","title_canon_sha256":"3bcd4f91aab2e9551ae3cfb6a6675feb35be0fd98498ec6d041d3065f5db55af"},"schema_version":"1.0","source":{"id":"2412.08579","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.08579","created_at":"2026-07-05T09:50:37Z"},{"alias_kind":"arxiv_version","alias_value":"2412.08579v2","created_at":"2026-07-05T09:50:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.08579","created_at":"2026-07-05T09:50:37Z"},{"alias_kind":"pith_short_12","alias_value":"YRMZW2VYP3XO","created_at":"2026-07-05T09:50:37Z"},{"alias_kind":"pith_short_16","alias_value":"YRMZW2VYP3XOMMY7","created_at":"2026-07-05T09:50:37Z"},{"alias_kind":"pith_short_8","alias_value":"YRMZW2VY","created_at":"2026-07-05T09:50:37Z"}],"graph_snapshots":[{"event_id":"sha256:dad74dd2a293d37992d5ea34a47494b034a6597fefd7b340bbbca13e8e3a3f7e","target":"graph","created_at":"2026-07-05T09:50:37Z","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/2412.08579/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Central to rough path theory is the signature transform of a path, an infinite series of tensors given by the iterated integrals of the underlying path. The signature poses an effective way to capture sequentially ordered information, thanks both to its rich analytic and algebraic properties as well as its universality when used as a basis to approximate functions on path space. Whilst a truncated version of the signature can be efficiently computed using Chen's identity, there is a lack of efficient methods for computing a sparse collection of iterated integrals contained in high levels of th","authors_text":"Cristopher Salvi, Daniil Shmelev","cross_cats":["cs.NA","stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-12-11T17:56:31Z","title":"Sparse Signature Coefficient Recovery via Kernels"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.08579","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:f5268cf52b105fe75e4e12835b24e5c3371789055bb57e49cd79f7395aa4c7dc","target":"record","created_at":"2026-07-05T09:50:37Z","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":"faaa9e8b3a2aa2636b9857b7940a515f4580ac280a2c1992ac5d111cc1ccb91c","cross_cats_sorted":["cs.NA","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-12-11T17:56:31Z","title_canon_sha256":"3bcd4f91aab2e9551ae3cfb6a6675feb35be0fd98498ec6d041d3065f5db55af"},"schema_version":"1.0","source":{"id":"2412.08579","kind":"arxiv","version":2}},"canonical_sha256":"c4599b6ab87eeee6331f3abb3cdd724ed8f38f095cac3f21be973eabd44b4312","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c4599b6ab87eeee6331f3abb3cdd724ed8f38f095cac3f21be973eabd44b4312","first_computed_at":"2026-07-05T09:50:37.031311Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:50:37.031311Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MiaxmkWEt2XWF3QhqmrpfTxuQyGVN8DLxTsLer9xTkClX2Zgdh4D6agQD6DGTMV5GwINJGRsi6bCVKStY0+HAA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:50:37.031778Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.08579","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f5268cf52b105fe75e4e12835b24e5c3371789055bb57e49cd79f7395aa4c7dc","sha256:dad74dd2a293d37992d5ea34a47494b034a6597fefd7b340bbbca13e8e3a3f7e"],"state_sha256":"9de7a22a99dd7ed2131c022c21823cb801d7eb47ae4dfa2c33585ba13194a88f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p+7MnW+tTWh0WfJtZ9x79O1wTW+Igmv0uF2F3n81z8dJyPX/2rvAJyaKCsyUZFuvwsblIeFbcabjl6hFwhXGBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-31T16:05:01.282957Z","bundle_sha256":"ce1f935cdff0807fa68fb9f0250be76c678b36954fe056ad619b873778c548d3"}}