{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:U5RQMMLVYN2TFADVJAEEJTNOUG","short_pith_number":"pith:U5RQMMLV","canonical_record":{"source":{"id":"2507.01247","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"eess.SY","submitted_at":"2025-07-01T23:44:04Z","cross_cats_sorted":["cs.SY","physics.data-an"],"title_canon_sha256":"f2161d519df800746a09698645d26f72a7b6f8216e068805390373ec7f3c16d7","abstract_canon_sha256":"57ab95b642fcadc235482cfaa05962146971726764de5b2be80d66dd9985a211"},"schema_version":"1.0"},"canonical_sha256":"a763063175c375328075480844cdaea1bc92e22e6ae4c24720cd221362ac12f1","source":{"kind":"arxiv","id":"2507.01247","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.01247","created_at":"2026-07-05T11:30:27Z"},{"alias_kind":"arxiv_version","alias_value":"2507.01247v1","created_at":"2026-07-05T11:30:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.01247","created_at":"2026-07-05T11:30:27Z"},{"alias_kind":"pith_short_12","alias_value":"U5RQMMLVYN2T","created_at":"2026-07-05T11:30:27Z"},{"alias_kind":"pith_short_16","alias_value":"U5RQMMLVYN2TFADV","created_at":"2026-07-05T11:30:27Z"},{"alias_kind":"pith_short_8","alias_value":"U5RQMMLV","created_at":"2026-07-05T11:30:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:U5RQMMLVYN2TFADVJAEEJTNOUG","target":"record","payload":{"canonical_record":{"source":{"id":"2507.01247","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"eess.SY","submitted_at":"2025-07-01T23:44:04Z","cross_cats_sorted":["cs.SY","physics.data-an"],"title_canon_sha256":"f2161d519df800746a09698645d26f72a7b6f8216e068805390373ec7f3c16d7","abstract_canon_sha256":"57ab95b642fcadc235482cfaa05962146971726764de5b2be80d66dd9985a211"},"schema_version":"1.0"},"canonical_sha256":"a763063175c375328075480844cdaea1bc92e22e6ae4c24720cd221362ac12f1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:30:27.357338Z","signature_b64":"SwDzd0Lfrr++11LmVfWZxxOaqek2EkCqAmishX4PJqxO3x+DQqaZHFP+bl7k4WNtqGsH331B/PhI2jkUNwCuDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a763063175c375328075480844cdaea1bc92e22e6ae4c24720cd221362ac12f1","last_reissued_at":"2026-07-05T11:30:27.356820Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:30:27.356820Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2507.01247","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":"2026-07-05T11:30:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k+WusM4VMwsVMcQcvEF/MAgXveRLgk2UVeWcdLLc6B2gyHL9CC8KkVWrNSVhU/V1X338mU+Qd3FGDTfEEMO2Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T17:07:24.769716Z"},"content_sha256":"584ebb68a9274d1e5231fd15afc809ba3554c61c516a61247000adb759c876eb","schema_version":"1.0","event_id":"sha256:584ebb68a9274d1e5231fd15afc809ba3554c61c516a61247000adb759c876eb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:U5RQMMLVYN2TFADVJAEEJTNOUG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Tunnelling Through Time Series: A Probabilistic Visibility Graph for Local and Global Pattern Discovery","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["cs.SY","physics.data-an"],"primary_cat":"eess.SY","authors_text":"Jose Sanchez-Bornot, Roberto Sotero","submitted_at":"2025-07-01T23:44:04Z","abstract_excerpt":"The growing availability of high-resolution, long-term time series data has highlighted the need for methods capable of capturing both local and global patterns. To address this, we introduce the Probabilistic Visibility Graph (PVG), a novel approach inspired by the quantum tunnelling phenomenon. The PVG extends the classical Visibility Graph (VG) by introducing probabilistic connections between time points that are obstructed in the VG due to intermediate values. We demonstrate the PVG's effectiveness in capturing long-range dependencies through simulations of amplitude-modulated signals and "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.01247","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/2507.01247/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":"2026-07-05T11:30:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oTuSkrPVhTWb3/y8tnI6nX9HELHnlGqU0JJzGs9OlNFKZ0qPol/IONY5Q9JTJWwDeSEJ9/wKcD+spsg6++tTDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T17:07:24.770225Z"},"content_sha256":"5e44cc3070af533135e5c0be0d884491e73f6f3893f482cfda868d549f279baa","schema_version":"1.0","event_id":"sha256:5e44cc3070af533135e5c0be0d884491e73f6f3893f482cfda868d549f279baa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U5RQMMLVYN2TFADVJAEEJTNOUG/bundle.json","state_url":"https://pith.science/pith/U5RQMMLVYN2TFADVJAEEJTNOUG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U5RQMMLVYN2TFADVJAEEJTNOUG/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":"2026-08-17T17:07:24Z","links":{"resolver":"https://pith.science/pith/U5RQMMLVYN2TFADVJAEEJTNOUG","bundle":"https://pith.science/pith/U5RQMMLVYN2TFADVJAEEJTNOUG/bundle.json","state":"https://pith.science/pith/U5RQMMLVYN2TFADVJAEEJTNOUG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U5RQMMLVYN2TFADVJAEEJTNOUG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:U5RQMMLVYN2TFADVJAEEJTNOUG","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":"57ab95b642fcadc235482cfaa05962146971726764de5b2be80d66dd9985a211","cross_cats_sorted":["cs.SY","physics.data-an"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"eess.SY","submitted_at":"2025-07-01T23:44:04Z","title_canon_sha256":"f2161d519df800746a09698645d26f72a7b6f8216e068805390373ec7f3c16d7"},"schema_version":"1.0","source":{"id":"2507.01247","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.01247","created_at":"2026-07-05T11:30:27Z"},{"alias_kind":"arxiv_version","alias_value":"2507.01247v1","created_at":"2026-07-05T11:30:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.01247","created_at":"2026-07-05T11:30:27Z"},{"alias_kind":"pith_short_12","alias_value":"U5RQMMLVYN2T","created_at":"2026-07-05T11:30:27Z"},{"alias_kind":"pith_short_16","alias_value":"U5RQMMLVYN2TFADV","created_at":"2026-07-05T11:30:27Z"},{"alias_kind":"pith_short_8","alias_value":"U5RQMMLV","created_at":"2026-07-05T11:30:27Z"}],"graph_snapshots":[{"event_id":"sha256:5e44cc3070af533135e5c0be0d884491e73f6f3893f482cfda868d549f279baa","target":"graph","created_at":"2026-07-05T11:30:27Z","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/2507.01247/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The growing availability of high-resolution, long-term time series data has highlighted the need for methods capable of capturing both local and global patterns. To address this, we introduce the Probabilistic Visibility Graph (PVG), a novel approach inspired by the quantum tunnelling phenomenon. The PVG extends the classical Visibility Graph (VG) by introducing probabilistic connections between time points that are obstructed in the VG due to intermediate values. We demonstrate the PVG's effectiveness in capturing long-range dependencies through simulations of amplitude-modulated signals and ","authors_text":"Jose Sanchez-Bornot, Roberto Sotero","cross_cats":["cs.SY","physics.data-an"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"eess.SY","submitted_at":"2025-07-01T23:44:04Z","title":"Tunnelling Through Time Series: A Probabilistic Visibility Graph for Local and Global Pattern Discovery"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.01247","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":"sha256:584ebb68a9274d1e5231fd15afc809ba3554c61c516a61247000adb759c876eb","target":"record","created_at":"2026-07-05T11:30:27Z","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":"57ab95b642fcadc235482cfaa05962146971726764de5b2be80d66dd9985a211","cross_cats_sorted":["cs.SY","physics.data-an"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"eess.SY","submitted_at":"2025-07-01T23:44:04Z","title_canon_sha256":"f2161d519df800746a09698645d26f72a7b6f8216e068805390373ec7f3c16d7"},"schema_version":"1.0","source":{"id":"2507.01247","kind":"arxiv","version":1}},"canonical_sha256":"a763063175c375328075480844cdaea1bc92e22e6ae4c24720cd221362ac12f1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a763063175c375328075480844cdaea1bc92e22e6ae4c24720cd221362ac12f1","first_computed_at":"2026-07-05T11:30:27.356820Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:30:27.356820Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SwDzd0Lfrr++11LmVfWZxxOaqek2EkCqAmishX4PJqxO3x+DQqaZHFP+bl7k4WNtqGsH331B/PhI2jkUNwCuDA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:30:27.357338Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.01247","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:584ebb68a9274d1e5231fd15afc809ba3554c61c516a61247000adb759c876eb","sha256:5e44cc3070af533135e5c0be0d884491e73f6f3893f482cfda868d549f279baa"],"state_sha256":"c4c39dbfd335c5e574142c9811e76d9e6ffb5b6a9f745fe27c32b294ceb86bd8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P/p1n+BRir2e/VolJzCGiLwL4XhvHZ+NH0aEtPps3U9x08+EkSSbWg6A9m2afFG6WfJ2enQbYVdtfolrm9I3BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T17:07:24.774018Z","bundle_sha256":"e4c78f20ddeea9248eae6306f56bd1d4f793cef87fe7ebcdfb77479293f2b5c6"}}