{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:6UNOPF6FFSL7DFNXVG7A6AN23U","short_pith_number":"pith:6UNOPF6F","canonical_record":{"source":{"id":"2508.19955","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-08-27T15:08:12Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"d2c5cadb340b4fe0597e2f8ffe28566e638ecba6e33f19484c023a514d855ca9","abstract_canon_sha256":"7f0036a22d7f9f8219897860e58a49462cc593813511485efc53686c728cfb23"},"schema_version":"1.0"},"canonical_sha256":"f51ae797c52c97f195b7a9be0f01badd20918f0b9767923363a0e20fb7ec9868","source":{"kind":"arxiv","id":"2508.19955","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.19955","created_at":"2026-07-05T12:00:20Z"},{"alias_kind":"arxiv_version","alias_value":"2508.19955v1","created_at":"2026-07-05T12:00:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.19955","created_at":"2026-07-05T12:00:20Z"},{"alias_kind":"pith_short_12","alias_value":"6UNOPF6FFSL7","created_at":"2026-07-05T12:00:20Z"},{"alias_kind":"pith_short_16","alias_value":"6UNOPF6FFSL7DFNX","created_at":"2026-07-05T12:00:20Z"},{"alias_kind":"pith_short_8","alias_value":"6UNOPF6F","created_at":"2026-07-05T12:00:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:6UNOPF6FFSL7DFNXVG7A6AN23U","target":"record","payload":{"canonical_record":{"source":{"id":"2508.19955","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-08-27T15:08:12Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"d2c5cadb340b4fe0597e2f8ffe28566e638ecba6e33f19484c023a514d855ca9","abstract_canon_sha256":"7f0036a22d7f9f8219897860e58a49462cc593813511485efc53686c728cfb23"},"schema_version":"1.0"},"canonical_sha256":"f51ae797c52c97f195b7a9be0f01badd20918f0b9767923363a0e20fb7ec9868","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T12:00:20.788291Z","signature_b64":"8dU/eqUNplnZKj7GHIvc43+5zamSR2gV2PCL/UMre8gyuNUSS9ZAQShtquYZZvhgUG5qWN4qFqXq39aBItWWBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f51ae797c52c97f195b7a9be0f01badd20918f0b9767923363a0e20fb7ec9868","last_reissued_at":"2026-07-05T12:00:20.787893Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T12:00:20.787893Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2508.19955","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":"2026-07-05T12:00:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3uS0x2LQrAp3mZiDOGMvn4GieVMgkSLfMaMDxI1j1g8dxQxsENKKlMNUVwUE4Dt3pwyLlGvj9J49ZzvblgrqDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T11:06:49.356403Z"},"content_sha256":"c6d6f3d24214298ff63cfc083c41fc7b21850c79c77916f3085a659bde9590d7","schema_version":"1.0","event_id":"sha256:c6d6f3d24214298ff63cfc083c41fc7b21850c79c77916f3085a659bde9590d7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:6UNOPF6FFSL7DFNXVG7A6AN23U","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Global Permutation Entropy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"cs.LG","authors_text":"Abhijeet Avhale (1), Emanuele Verri (1) ((1) University of Greifswald, Germany), Greifswald, Joscha Diehl (1), Niraj Velankar (1)","submitted_at":"2025-08-27T15:08:12Z","abstract_excerpt":"Permutation Entropy, introduced by Bandt and Pompe, is a widely used complexity measure for real-valued time series that is based on the relative order of values within consecutive segments of fixed length. After standardizing each segment to a permutation and computing the frequency distribution of these permutations, Shannon Entropy is then applied to quantify the series' complexity. We introduce Global Permutation Entropy (GPE), a novel index that considers all possible patterns of a given length, including non-consecutive ones. Its computation relies on recently developed algorithms that e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.19955","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/2508.19955/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":"2026-07-05T12:00:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1r9x9xZMd5ObTiLq2uCtJVxjjcoMYVLvKw9aLcNt/l7PFn+LAZoKodCaAHL8XVcAdkMNB6dX2SMBYsJsRGzpAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T11:06:49.356920Z"},"content_sha256":"841374c9320bcf0739541fce09089d5b87393ae9c407fe44b1ea6c5b9fcf6be7","schema_version":"1.0","event_id":"sha256:841374c9320bcf0739541fce09089d5b87393ae9c407fe44b1ea6c5b9fcf6be7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6UNOPF6FFSL7DFNXVG7A6AN23U/bundle.json","state_url":"https://pith.science/pith/6UNOPF6FFSL7DFNXVG7A6AN23U/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6UNOPF6FFSL7DFNXVG7A6AN23U/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":"2026-08-08T11:06:49Z","links":{"resolver":"https://pith.science/pith/6UNOPF6FFSL7DFNXVG7A6AN23U","bundle":"https://pith.science/pith/6UNOPF6FFSL7DFNXVG7A6AN23U/bundle.json","state":"https://pith.science/pith/6UNOPF6FFSL7DFNXVG7A6AN23U/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6UNOPF6FFSL7DFNXVG7A6AN23U/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:6UNOPF6FFSL7DFNXVG7A6AN23U","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":"7f0036a22d7f9f8219897860e58a49462cc593813511485efc53686c728cfb23","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-08-27T15:08:12Z","title_canon_sha256":"d2c5cadb340b4fe0597e2f8ffe28566e638ecba6e33f19484c023a514d855ca9"},"schema_version":"1.0","source":{"id":"2508.19955","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.19955","created_at":"2026-07-05T12:00:20Z"},{"alias_kind":"arxiv_version","alias_value":"2508.19955v1","created_at":"2026-07-05T12:00:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.19955","created_at":"2026-07-05T12:00:20Z"},{"alias_kind":"pith_short_12","alias_value":"6UNOPF6FFSL7","created_at":"2026-07-05T12:00:20Z"},{"alias_kind":"pith_short_16","alias_value":"6UNOPF6FFSL7DFNX","created_at":"2026-07-05T12:00:20Z"},{"alias_kind":"pith_short_8","alias_value":"6UNOPF6F","created_at":"2026-07-05T12:00:20Z"}],"graph_snapshots":[{"event_id":"sha256:841374c9320bcf0739541fce09089d5b87393ae9c407fe44b1ea6c5b9fcf6be7","target":"graph","created_at":"2026-07-05T12:00:20Z","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/2508.19955/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Permutation Entropy, introduced by Bandt and Pompe, is a widely used complexity measure for real-valued time series that is based on the relative order of values within consecutive segments of fixed length. After standardizing each segment to a permutation and computing the frequency distribution of these permutations, Shannon Entropy is then applied to quantify the series' complexity. We introduce Global Permutation Entropy (GPE), a novel index that considers all possible patterns of a given length, including non-consecutive ones. Its computation relies on recently developed algorithms that e","authors_text":"Abhijeet Avhale (1), Emanuele Verri (1) ((1) University of Greifswald, Germany), Greifswald, Joscha Diehl (1), Niraj Velankar (1)","cross_cats":["cs.IT","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-08-27T15:08:12Z","title":"Global Permutation Entropy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.19955","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:c6d6f3d24214298ff63cfc083c41fc7b21850c79c77916f3085a659bde9590d7","target":"record","created_at":"2026-07-05T12:00:20Z","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":"7f0036a22d7f9f8219897860e58a49462cc593813511485efc53686c728cfb23","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-08-27T15:08:12Z","title_canon_sha256":"d2c5cadb340b4fe0597e2f8ffe28566e638ecba6e33f19484c023a514d855ca9"},"schema_version":"1.0","source":{"id":"2508.19955","kind":"arxiv","version":1}},"canonical_sha256":"f51ae797c52c97f195b7a9be0f01badd20918f0b9767923363a0e20fb7ec9868","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f51ae797c52c97f195b7a9be0f01badd20918f0b9767923363a0e20fb7ec9868","first_computed_at":"2026-07-05T12:00:20.787893Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:00:20.787893Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8dU/eqUNplnZKj7GHIvc43+5zamSR2gV2PCL/UMre8gyuNUSS9ZAQShtquYZZvhgUG5qWN4qFqXq39aBItWWBA==","signature_status":"signed_v1","signed_at":"2026-07-05T12:00:20.788291Z","signed_message":"canonical_sha256_bytes"},"source_id":"2508.19955","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c6d6f3d24214298ff63cfc083c41fc7b21850c79c77916f3085a659bde9590d7","sha256:841374c9320bcf0739541fce09089d5b87393ae9c407fe44b1ea6c5b9fcf6be7"],"state_sha256":"7ed37338deaea88f7806896b3b6fbb4caa5ab3ad6a774bfe861a9f8601309d8c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xf0L7EqeQRpXjXUhB16fF6xYuY8CcgueLhECn/pETwgAg7ld3VTF1XFughPNCHzYglL4tT9JfIgquOhZm34DBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T11:06:49.361718Z","bundle_sha256":"172589c2e8e1e1c2240cbb6231974423b1662b46930994e743e4286f37476736"}}