{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:4VUMT7V72UZUMINFWZO62CNUY2","short_pith_number":"pith:4VUMT7V7","canonical_record":{"source":{"id":"1605.02645","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2016-05-09T16:18:31Z","cross_cats_sorted":[],"title_canon_sha256":"5553639b49f9a872c445beef27a6868c393bb4fc533e89a680c92a3a203c1c27","abstract_canon_sha256":"27b2c0365319925f883171fd4c7eddf8ffdc4dcc825c4b80abf845175c1a76a2"},"schema_version":"1.0"},"canonical_sha256":"e568c9febfd5334621a5b65ded09b4c690b145ee708d3c0b4e430b3bbe1b7985","source":{"kind":"arxiv","id":"1605.02645","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.02645","created_at":"2026-05-18T00:54:36Z"},{"alias_kind":"arxiv_version","alias_value":"1605.02645v1","created_at":"2026-05-18T00:54:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.02645","created_at":"2026-05-18T00:54:36Z"},{"alias_kind":"pith_short_12","alias_value":"4VUMT7V72UZU","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"4VUMT7V72UZUMINF","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"4VUMT7V7","created_at":"2026-05-18T12:29:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:4VUMT7V72UZUMINFWZO62CNUY2","target":"record","payload":{"canonical_record":{"source":{"id":"1605.02645","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2016-05-09T16:18:31Z","cross_cats_sorted":[],"title_canon_sha256":"5553639b49f9a872c445beef27a6868c393bb4fc533e89a680c92a3a203c1c27","abstract_canon_sha256":"27b2c0365319925f883171fd4c7eddf8ffdc4dcc825c4b80abf845175c1a76a2"},"schema_version":"1.0"},"canonical_sha256":"e568c9febfd5334621a5b65ded09b4c690b145ee708d3c0b4e430b3bbe1b7985","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:54:36.617783Z","signature_b64":"mABZD5c7ETZYvR53S9JjCeif8tUOWkypxNuJflrTfIjYgVciHi6QKVprNc1s29WBYHPbVI/5Kkw9eez98wvLCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e568c9febfd5334621a5b65ded09b4c690b145ee708d3c0b4e430b3bbe1b7985","last_reissued_at":"2026-05-18T00:54:36.617352Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:54:36.617352Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.02645","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":"2026-05-18T00:54:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PaNrXBQfSKnVAEKiMZ/x8KAdAVtgv5EHcm+rv4wAtI9whHggP2b60C3rsi+ueSdsEO9nOF/WNdWb0b5rlAEcDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T03:33:50.639505Z"},"content_sha256":"dfc7d19eb9da97f12f9819dced8d1f73f5e408386878d6012c91e7c53a4a8307","schema_version":"1.0","event_id":"sha256:dfc7d19eb9da97f12f9819dced8d1f73f5e408386878d6012c91e7c53a4a8307"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:4VUMT7V72UZUMINFWZO62CNUY2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sequential motif profile of natural visibility graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.data-an","authors_text":"Jacopo Iacovacci, Lucas Lacasa","submitted_at":"2016-05-09T16:18:31Z","abstract_excerpt":"The concept of sequential visibility graph motifs -subgraphs appearing with characteristic frequencies in the visibility graphs associated to time series- has been advanced recently along with a theoretical framework to compute analytically the motif profiles associated to Horizontal Visibility Graphs (HVGs). Here we develop a theory to compute the profile of sequential visibility graph motifs in the context of Natural Visibility Graphs (VGs). This theory gives exact results for deterministic aperiodic processes with a smooth invariant density or stochastic processes that fulfil the Markov pro"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.02645","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":""},"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":"2026-05-18T00:54:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/kidbo2HF762R8DMO86A5nTaEzPb8RvSecsc501nNzLUXv+trvs7coxHoCCdGOoPHDDkcfRK2ATkukA0xkerAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T03:33:50.639852Z"},"content_sha256":"789d9a80152d8a10cd19988d0b805383b1acd8d1119aa88053737ec69290f7fa","schema_version":"1.0","event_id":"sha256:789d9a80152d8a10cd19988d0b805383b1acd8d1119aa88053737ec69290f7fa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4VUMT7V72UZUMINFWZO62CNUY2/bundle.json","state_url":"https://pith.science/pith/4VUMT7V72UZUMINFWZO62CNUY2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4VUMT7V72UZUMINFWZO62CNUY2/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":"2026-06-21T03:33:50Z","links":{"resolver":"https://pith.science/pith/4VUMT7V72UZUMINFWZO62CNUY2","bundle":"https://pith.science/pith/4VUMT7V72UZUMINFWZO62CNUY2/bundle.json","state":"https://pith.science/pith/4VUMT7V72UZUMINFWZO62CNUY2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4VUMT7V72UZUMINFWZO62CNUY2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:4VUMT7V72UZUMINFWZO62CNUY2","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":"27b2c0365319925f883171fd4c7eddf8ffdc4dcc825c4b80abf845175c1a76a2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2016-05-09T16:18:31Z","title_canon_sha256":"5553639b49f9a872c445beef27a6868c393bb4fc533e89a680c92a3a203c1c27"},"schema_version":"1.0","source":{"id":"1605.02645","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.02645","created_at":"2026-05-18T00:54:36Z"},{"alias_kind":"arxiv_version","alias_value":"1605.02645v1","created_at":"2026-05-18T00:54:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.02645","created_at":"2026-05-18T00:54:36Z"},{"alias_kind":"pith_short_12","alias_value":"4VUMT7V72UZU","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"4VUMT7V72UZUMINF","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"4VUMT7V7","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:789d9a80152d8a10cd19988d0b805383b1acd8d1119aa88053737ec69290f7fa","target":"graph","created_at":"2026-05-18T00:54:36Z","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":"The concept of sequential visibility graph motifs -subgraphs appearing with characteristic frequencies in the visibility graphs associated to time series- has been advanced recently along with a theoretical framework to compute analytically the motif profiles associated to Horizontal Visibility Graphs (HVGs). Here we develop a theory to compute the profile of sequential visibility graph motifs in the context of Natural Visibility Graphs (VGs). This theory gives exact results for deterministic aperiodic processes with a smooth invariant density or stochastic processes that fulfil the Markov pro","authors_text":"Jacopo Iacovacci, Lucas Lacasa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2016-05-09T16:18:31Z","title":"Sequential motif profile of natural visibility graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.02645","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:dfc7d19eb9da97f12f9819dced8d1f73f5e408386878d6012c91e7c53a4a8307","target":"record","created_at":"2026-05-18T00:54:36Z","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":"27b2c0365319925f883171fd4c7eddf8ffdc4dcc825c4b80abf845175c1a76a2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2016-05-09T16:18:31Z","title_canon_sha256":"5553639b49f9a872c445beef27a6868c393bb4fc533e89a680c92a3a203c1c27"},"schema_version":"1.0","source":{"id":"1605.02645","kind":"arxiv","version":1}},"canonical_sha256":"e568c9febfd5334621a5b65ded09b4c690b145ee708d3c0b4e430b3bbe1b7985","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e568c9febfd5334621a5b65ded09b4c690b145ee708d3c0b4e430b3bbe1b7985","first_computed_at":"2026-05-18T00:54:36.617352Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:54:36.617352Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mABZD5c7ETZYvR53S9JjCeif8tUOWkypxNuJflrTfIjYgVciHi6QKVprNc1s29WBYHPbVI/5Kkw9eez98wvLCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:54:36.617783Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.02645","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dfc7d19eb9da97f12f9819dced8d1f73f5e408386878d6012c91e7c53a4a8307","sha256:789d9a80152d8a10cd19988d0b805383b1acd8d1119aa88053737ec69290f7fa"],"state_sha256":"3da701d961d6c19be0965367ef183a5ec19a06a463bec1b14e398e25d54341bc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jKm9Z0/3bAhYwQCW6eirlqOPnhj7J/M10VGjAL93cHNgdXKcAX3LlDI9RZv/36ivPg5A/aPSkqui6J/QIUcvBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T03:33:50.641905Z","bundle_sha256":"9860abf4e710d0a05a3d5ad193fec0c4ee84c9bec39db94ac02bf9c57f139b16"}}