{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:A4J7RZDJY7BVM6MSBSCBGOJ5AK","short_pith_number":"pith:A4J7RZDJ","canonical_record":{"source":{"id":"2605.25478","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2026-05-25T06:31:04Z","cross_cats_sorted":[],"title_canon_sha256":"ce2e6c2b31e47077b3026d747d63b093954e8a99a400de1bbaecd78344eb3b4d","abstract_canon_sha256":"e72588c6fe0e8b1c7d86a1951548d2a35a2a6cf0b867a02d4f1b7fc12dbae494"},"schema_version":"1.0"},"canonical_sha256":"0713f8e469c7c35679920c8413393d028184d452c025eecbe2f74cc9e1fdb980","source":{"kind":"arxiv","id":"2605.25478","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.25478","created_at":"2026-05-26T02:04:38Z"},{"alias_kind":"arxiv_version","alias_value":"2605.25478v1","created_at":"2026-05-26T02:04:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.25478","created_at":"2026-05-26T02:04:38Z"},{"alias_kind":"pith_short_12","alias_value":"A4J7RZDJY7BV","created_at":"2026-05-26T02:04:38Z"},{"alias_kind":"pith_short_16","alias_value":"A4J7RZDJY7BVM6MS","created_at":"2026-05-26T02:04:38Z"},{"alias_kind":"pith_short_8","alias_value":"A4J7RZDJ","created_at":"2026-05-26T02:04:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:A4J7RZDJY7BVM6MSBSCBGOJ5AK","target":"record","payload":{"canonical_record":{"source":{"id":"2605.25478","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2026-05-25T06:31:04Z","cross_cats_sorted":[],"title_canon_sha256":"ce2e6c2b31e47077b3026d747d63b093954e8a99a400de1bbaecd78344eb3b4d","abstract_canon_sha256":"e72588c6fe0e8b1c7d86a1951548d2a35a2a6cf0b867a02d4f1b7fc12dbae494"},"schema_version":"1.0"},"canonical_sha256":"0713f8e469c7c35679920c8413393d028184d452c025eecbe2f74cc9e1fdb980","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-26T02:04:38.398076Z","signature_b64":"cnqWROqWDr0PC10BUeTwI+fKcD0tNlU9/QMW6xPjK6UleP5Nhaw9RYpSmTxXfPCHd9agNXSS9xw89VyPV+oABQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0713f8e469c7c35679920c8413393d028184d452c025eecbe2f74cc9e1fdb980","last_reissued_at":"2026-05-26T02:04:38.397226Z","signature_status":"signed_v1","first_computed_at":"2026-05-26T02:04:38.397226Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.25478","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":"2026-05-26T02:04:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"07kEenGwZwTWhKQQZMkqJcdz926dsKU6GrAtX/QJuxfi8SN71EdFuxmn6IU3kkYCwNi7tTIdOu76NyGTopf9AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T20:02:59.051881Z"},"content_sha256":"c856123b128274752404f67973dc9520c03325d21041123dfa50109352dd0516","schema_version":"1.0","event_id":"sha256:c856123b128274752404f67973dc9520c03325d21041123dfa50109352dd0516"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:A4J7RZDJY7BVM6MSBSCBGOJ5AK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Transcripts and Algebraic Distances in Time Series: Stochastic Properties and Nonparametric Dependence Tests","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Christian H. Wei{\\ss}, Jos\\'e M. Amig\\'o","submitted_at":"2026-05-25T06:31:04Z","abstract_excerpt":"The use of ordinal patterns (OPs) for analyzing the dependence structure of univariate and continuously distributed processes has gained popularity in recent years. This research goes one step further and considers the transcripts being computed from successive OPs in the time series. Transcripts constitute a kind of ``difference'' between successive OPs and thus naturally relate to two algebraic distances between OPs, the Cayley and Kendall edit distances. The original time series is transformed into a sequence of transcripts or distances, respectively, and important stochastic properties the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.25478","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/2605.25478/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":"2026-05-26T02:04:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T9ccCesuGsAFhOY2U95+HrrxlDUYyGCFRY4vOXeE0XKf6r1rUjpKdxx7Yk1tfssQEogx9ni2wdlaQk8B7FG8Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T20:02:59.052454Z"},"content_sha256":"b20c09c3f7dee1fa97765efd8aa14777353f7fe334be554034df090847a78562","schema_version":"1.0","event_id":"sha256:b20c09c3f7dee1fa97765efd8aa14777353f7fe334be554034df090847a78562"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/A4J7RZDJY7BVM6MSBSCBGOJ5AK/bundle.json","state_url":"https://pith.science/pith/A4J7RZDJY7BVM6MSBSCBGOJ5AK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/A4J7RZDJY7BVM6MSBSCBGOJ5AK/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":"2026-06-27T20:02:59Z","links":{"resolver":"https://pith.science/pith/A4J7RZDJY7BVM6MSBSCBGOJ5AK","bundle":"https://pith.science/pith/A4J7RZDJY7BVM6MSBSCBGOJ5AK/bundle.json","state":"https://pith.science/pith/A4J7RZDJY7BVM6MSBSCBGOJ5AK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/A4J7RZDJY7BVM6MSBSCBGOJ5AK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:A4J7RZDJY7BVM6MSBSCBGOJ5AK","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":"e72588c6fe0e8b1c7d86a1951548d2a35a2a6cf0b867a02d4f1b7fc12dbae494","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2026-05-25T06:31:04Z","title_canon_sha256":"ce2e6c2b31e47077b3026d747d63b093954e8a99a400de1bbaecd78344eb3b4d"},"schema_version":"1.0","source":{"id":"2605.25478","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.25478","created_at":"2026-05-26T02:04:38Z"},{"alias_kind":"arxiv_version","alias_value":"2605.25478v1","created_at":"2026-05-26T02:04:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.25478","created_at":"2026-05-26T02:04:38Z"},{"alias_kind":"pith_short_12","alias_value":"A4J7RZDJY7BV","created_at":"2026-05-26T02:04:38Z"},{"alias_kind":"pith_short_16","alias_value":"A4J7RZDJY7BVM6MS","created_at":"2026-05-26T02:04:38Z"},{"alias_kind":"pith_short_8","alias_value":"A4J7RZDJ","created_at":"2026-05-26T02:04:38Z"}],"graph_snapshots":[{"event_id":"sha256:b20c09c3f7dee1fa97765efd8aa14777353f7fe334be554034df090847a78562","target":"graph","created_at":"2026-05-26T02:04:38Z","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/2605.25478/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The use of ordinal patterns (OPs) for analyzing the dependence structure of univariate and continuously distributed processes has gained popularity in recent years. This research goes one step further and considers the transcripts being computed from successive OPs in the time series. Transcripts constitute a kind of ``difference'' between successive OPs and thus naturally relate to two algebraic distances between OPs, the Cayley and Kendall edit distances. The original time series is transformed into a sequence of transcripts or distances, respectively, and important stochastic properties the","authors_text":"Christian H. Wei{\\ss}, Jos\\'e M. Amig\\'o","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2026-05-25T06:31:04Z","title":"Transcripts and Algebraic Distances in Time Series: Stochastic Properties and Nonparametric Dependence Tests"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.25478","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:c856123b128274752404f67973dc9520c03325d21041123dfa50109352dd0516","target":"record","created_at":"2026-05-26T02:04:38Z","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":"e72588c6fe0e8b1c7d86a1951548d2a35a2a6cf0b867a02d4f1b7fc12dbae494","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2026-05-25T06:31:04Z","title_canon_sha256":"ce2e6c2b31e47077b3026d747d63b093954e8a99a400de1bbaecd78344eb3b4d"},"schema_version":"1.0","source":{"id":"2605.25478","kind":"arxiv","version":1}},"canonical_sha256":"0713f8e469c7c35679920c8413393d028184d452c025eecbe2f74cc9e1fdb980","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0713f8e469c7c35679920c8413393d028184d452c025eecbe2f74cc9e1fdb980","first_computed_at":"2026-05-26T02:04:38.397226Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-26T02:04:38.397226Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cnqWROqWDr0PC10BUeTwI+fKcD0tNlU9/QMW6xPjK6UleP5Nhaw9RYpSmTxXfPCHd9agNXSS9xw89VyPV+oABQ==","signature_status":"signed_v1","signed_at":"2026-05-26T02:04:38.398076Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.25478","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c856123b128274752404f67973dc9520c03325d21041123dfa50109352dd0516","sha256:b20c09c3f7dee1fa97765efd8aa14777353f7fe334be554034df090847a78562"],"state_sha256":"c15e80c0f337a340b866f0c61ffe03670ad29dfc249d96f67b7fead9d6cfe0a9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NQkCZqpFIN51TGiQ84jceX7m1EvuiH1JFHUnfC/nFEQZjvhNaF7/i7J68+pXSRhCgIM5WKK+NpmYMsP2Cal/DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T20:02:59.054428Z","bundle_sha256":"3a47dfa7f264fd62058274e281957b7d84d16259995d147ba9c7ad230b69f967"}}