{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:PAT5ZH6HYMYBQIIRB2ZBIN2FXC","short_pith_number":"pith:PAT5ZH6H","canonical_record":{"source":{"id":"1801.06104","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2018-01-18T15:53:00Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"8ca54102accdb1077daa27ad1b9b24963b8df3e92469853269dd7eab2fdbe748","abstract_canon_sha256":"1f1babc56aa797047b1c086870f5ee9a1daad6257cfa5f537fa0f0551a3021ae"},"schema_version":"1.0"},"canonical_sha256":"7827dc9fc7c3301821110eb2143745b8970243ca57391d8d302359df8136b943","source":{"kind":"arxiv","id":"1801.06104","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.06104","created_at":"2026-05-18T00:16:21Z"},{"alias_kind":"arxiv_version","alias_value":"1801.06104v2","created_at":"2026-05-18T00:16:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.06104","created_at":"2026-05-18T00:16:21Z"},{"alias_kind":"pith_short_12","alias_value":"PAT5ZH6HYMYB","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"PAT5ZH6HYMYBQIIR","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"PAT5ZH6H","created_at":"2026-05-18T12:32:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:PAT5ZH6HYMYBQIIRB2ZBIN2FXC","target":"record","payload":{"canonical_record":{"source":{"id":"1801.06104","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2018-01-18T15:53:00Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"8ca54102accdb1077daa27ad1b9b24963b8df3e92469853269dd7eab2fdbe748","abstract_canon_sha256":"1f1babc56aa797047b1c086870f5ee9a1daad6257cfa5f537fa0f0551a3021ae"},"schema_version":"1.0"},"canonical_sha256":"7827dc9fc7c3301821110eb2143745b8970243ca57391d8d302359df8136b943","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:16:21.280900Z","signature_b64":"wJ3KUZCcA12clYoOhWhczWiwz/HBLhq2Ctf8wK6G36YpPXKgHfjnWBvxioc1c5V4kw36UaDfdv1sdWvTnTN/AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7827dc9fc7c3301821110eb2143745b8970243ca57391d8d302359df8136b943","last_reissued_at":"2026-05-18T00:16:21.280418Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:16:21.280418Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.06104","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":"2026-05-18T00:16:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jQEYksiUDYYxUBD+hkZ7G/kqm7wW9RB57L95OGEmJjRmt2xy62kZ1CFHw8pbtANu0nWUP9zW+zrVJrpw9kmTBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T13:44:42.387601Z"},"content_sha256":"f22463865d6227000a3ca2b19e0a703f7649ba3ab4630087982671e62a4549aa","schema_version":"1.0","event_id":"sha256:f22463865d6227000a3ca2b19e0a703f7649ba3ab4630087982671e62a4549aa"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:PAT5ZH6HYMYBQIIRB2ZBIN2FXC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Invariants of multidimensional time series based on their iterated-integral signature","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"cs.CV","authors_text":"Jeremy Reizenstein, Joscha Diehl","submitted_at":"2018-01-18T15:53:00Z","abstract_excerpt":"We introduce a novel class of features for multidimensional time series, that are invariant with respect to transformations of the ambient space. The general linear group, the group of rotations and the group of permutations of the axes are considered. The starting point for their construction is Chen's iterated-integral signature."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.06104","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":""},"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":"2026-05-18T00:16:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sROCv0rcG8w1Re5nBsFo5646wZpaTUOaEAXbBeAutfUefJAo+sSrxhMcx0Tqzov/xizz7s56Uu8Hm6/ga5mWCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T13:44:42.387981Z"},"content_sha256":"817724eb9938ed1d0c476e4143531d159f6f9b6ebd4b60e53f5839a5eb1fa2a1","schema_version":"1.0","event_id":"sha256:817724eb9938ed1d0c476e4143531d159f6f9b6ebd4b60e53f5839a5eb1fa2a1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PAT5ZH6HYMYBQIIRB2ZBIN2FXC/bundle.json","state_url":"https://pith.science/pith/PAT5ZH6HYMYBQIIRB2ZBIN2FXC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PAT5ZH6HYMYBQIIRB2ZBIN2FXC/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":"2026-06-09T13:44:42Z","links":{"resolver":"https://pith.science/pith/PAT5ZH6HYMYBQIIRB2ZBIN2FXC","bundle":"https://pith.science/pith/PAT5ZH6HYMYBQIIRB2ZBIN2FXC/bundle.json","state":"https://pith.science/pith/PAT5ZH6HYMYBQIIRB2ZBIN2FXC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PAT5ZH6HYMYBQIIRB2ZBIN2FXC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:PAT5ZH6HYMYBQIIRB2ZBIN2FXC","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":"1f1babc56aa797047b1c086870f5ee9a1daad6257cfa5f537fa0f0551a3021ae","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2018-01-18T15:53:00Z","title_canon_sha256":"8ca54102accdb1077daa27ad1b9b24963b8df3e92469853269dd7eab2fdbe748"},"schema_version":"1.0","source":{"id":"1801.06104","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.06104","created_at":"2026-05-18T00:16:21Z"},{"alias_kind":"arxiv_version","alias_value":"1801.06104v2","created_at":"2026-05-18T00:16:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.06104","created_at":"2026-05-18T00:16:21Z"},{"alias_kind":"pith_short_12","alias_value":"PAT5ZH6HYMYB","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"PAT5ZH6HYMYBQIIR","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"PAT5ZH6H","created_at":"2026-05-18T12:32:43Z"}],"graph_snapshots":[{"event_id":"sha256:817724eb9938ed1d0c476e4143531d159f6f9b6ebd4b60e53f5839a5eb1fa2a1","target":"graph","created_at":"2026-05-18T00:16:21Z","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"},"paper":{"abstract_excerpt":"We introduce a novel class of features for multidimensional time series, that are invariant with respect to transformations of the ambient space. The general linear group, the group of rotations and the group of permutations of the axes are considered. The starting point for their construction is Chen's iterated-integral signature.","authors_text":"Jeremy Reizenstein, Joscha Diehl","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2018-01-18T15:53:00Z","title":"Invariants of multidimensional time series based on their iterated-integral signature"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.06104","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:f22463865d6227000a3ca2b19e0a703f7649ba3ab4630087982671e62a4549aa","target":"record","created_at":"2026-05-18T00:16:21Z","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":"1f1babc56aa797047b1c086870f5ee9a1daad6257cfa5f537fa0f0551a3021ae","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2018-01-18T15:53:00Z","title_canon_sha256":"8ca54102accdb1077daa27ad1b9b24963b8df3e92469853269dd7eab2fdbe748"},"schema_version":"1.0","source":{"id":"1801.06104","kind":"arxiv","version":2}},"canonical_sha256":"7827dc9fc7c3301821110eb2143745b8970243ca57391d8d302359df8136b943","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7827dc9fc7c3301821110eb2143745b8970243ca57391d8d302359df8136b943","first_computed_at":"2026-05-18T00:16:21.280418Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:21.280418Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wJ3KUZCcA12clYoOhWhczWiwz/HBLhq2Ctf8wK6G36YpPXKgHfjnWBvxioc1c5V4kw36UaDfdv1sdWvTnTN/AA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:21.280900Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.06104","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f22463865d6227000a3ca2b19e0a703f7649ba3ab4630087982671e62a4549aa","sha256:817724eb9938ed1d0c476e4143531d159f6f9b6ebd4b60e53f5839a5eb1fa2a1"],"state_sha256":"01b5b0a1889c7ae858bc46f1c42710a40039a2c038badfdd2338585c5c774d26"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B01sXT0jYU1R45R+V8H9xu4bTkRbqDThJBrzIFNHrPbvyXA53BbLes3/no8LQb6L70jt7mehdjmgKvGLeixFAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T13:44:42.390174Z","bundle_sha256":"249f360cb2557b101e06caeb69651bf23fc1ec539a3769203af283b15997fa80"}}