{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:TL4UFVAQIOUEHYY6IL522WJECM","short_pith_number":"pith:TL4UFVAQ","canonical_record":{"source":{"id":"1302.3704","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2013-02-15T09:10:49Z","cross_cats_sorted":["q-fin.ST"],"title_canon_sha256":"b89b0e9b86713c2fe7fbe558a03a48948059fcee20424aa3a1facf2d6215fb13","abstract_canon_sha256":"1d13a50135a45d5f0a7ddf16b016d5d321bb6a7b4eae9845a3e91f69cd2a7520"},"schema_version":"1.0"},"canonical_sha256":"9af942d41043a843e31e42fbad5924133ac6e936cc5cdf4f41e18242b5fa426e","source":{"kind":"arxiv","id":"1302.3704","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.3704","created_at":"2026-05-18T03:13:46Z"},{"alias_kind":"arxiv_version","alias_value":"1302.3704v2","created_at":"2026-05-18T03:13:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.3704","created_at":"2026-05-18T03:13:46Z"},{"alias_kind":"pith_short_12","alias_value":"TL4UFVAQIOUE","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"TL4UFVAQIOUEHYY6","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"TL4UFVAQ","created_at":"2026-05-18T12:28:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:TL4UFVAQIOUEHYY6IL522WJECM","target":"record","payload":{"canonical_record":{"source":{"id":"1302.3704","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2013-02-15T09:10:49Z","cross_cats_sorted":["q-fin.ST"],"title_canon_sha256":"b89b0e9b86713c2fe7fbe558a03a48948059fcee20424aa3a1facf2d6215fb13","abstract_canon_sha256":"1d13a50135a45d5f0a7ddf16b016d5d321bb6a7b4eae9845a3e91f69cd2a7520"},"schema_version":"1.0"},"canonical_sha256":"9af942d41043a843e31e42fbad5924133ac6e936cc5cdf4f41e18242b5fa426e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:13:46.117657Z","signature_b64":"zZHTH7qsTNCuPsVG37FFCN6uMZgZIW4/I9V0HTHMe1LGsJZYFHUaNxvqQp044w7zbDF1Nm7K3bOmj4xYnb79DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9af942d41043a843e31e42fbad5924133ac6e936cc5cdf4f41e18242b5fa426e","last_reissued_at":"2026-05-18T03:13:46.116784Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:13:46.116784Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1302.3704","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":"2026-05-18T03:13:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IwTjaPCrCvICVMxM1Zg2+cGoxEEE6w97LPLL5Leekv2+lTW34oa4iIbBNcbZRpgzNEQPhbr9I2uoHc821KVuAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T15:49:47.495686Z"},"content_sha256":"bd65469a5c324b59f85e4f912604af4e33ee2f5df83faef2f13dc0f3e057f078","schema_version":"1.0","event_id":"sha256:bd65469a5c324b59f85e4f912604af4e33ee2f5df83faef2f13dc0f3e057f078"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:TL4UFVAQIOUEHYY6IL522WJECM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A model-free characterization of recurrences in stationary time series","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-fin.ST"],"primary_cat":"physics.data-an","authors_text":"Anirban Chakraborti, R\\'emy Chicheportiche","submitted_at":"2013-02-15T09:10:49Z","abstract_excerpt":"Study of recurrences in earthquakes, climate, financial time-series, etc. is crucial to better forecast disasters and limit their consequences. However, almost all the previous phenomenological studies involved only a long-ranged autocorrelation function, or disregarded the multi-scaling properties induced by potential higher order dependencies. Consequently, they missed the facts that non-linear dependences do impact both the statistics and dynamics of recurrence times, and that scaling arguments for the unconditional distribution may not be applicable. We argue that copulas is the correct mo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.3704","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":"2026-05-18T03:13:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1Y5ZorRsX7wiRAvl52iwZE35YEhBfaYhY5yBSvSbu/FNknsF7pmGGYiPfiOEay2AJBz7y3jUqoZhtpZvsfiYCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T15:49:47.496302Z"},"content_sha256":"181a28fb6611a8c4bd3605c06437c9c7b20a4050fed48ff490c0022aa7b199f6","schema_version":"1.0","event_id":"sha256:181a28fb6611a8c4bd3605c06437c9c7b20a4050fed48ff490c0022aa7b199f6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TL4UFVAQIOUEHYY6IL522WJECM/bundle.json","state_url":"https://pith.science/pith/TL4UFVAQIOUEHYY6IL522WJECM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TL4UFVAQIOUEHYY6IL522WJECM/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":"2026-05-25T15:49:47Z","links":{"resolver":"https://pith.science/pith/TL4UFVAQIOUEHYY6IL522WJECM","bundle":"https://pith.science/pith/TL4UFVAQIOUEHYY6IL522WJECM/bundle.json","state":"https://pith.science/pith/TL4UFVAQIOUEHYY6IL522WJECM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TL4UFVAQIOUEHYY6IL522WJECM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:TL4UFVAQIOUEHYY6IL522WJECM","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":"1d13a50135a45d5f0a7ddf16b016d5d321bb6a7b4eae9845a3e91f69cd2a7520","cross_cats_sorted":["q-fin.ST"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2013-02-15T09:10:49Z","title_canon_sha256":"b89b0e9b86713c2fe7fbe558a03a48948059fcee20424aa3a1facf2d6215fb13"},"schema_version":"1.0","source":{"id":"1302.3704","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.3704","created_at":"2026-05-18T03:13:46Z"},{"alias_kind":"arxiv_version","alias_value":"1302.3704v2","created_at":"2026-05-18T03:13:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.3704","created_at":"2026-05-18T03:13:46Z"},{"alias_kind":"pith_short_12","alias_value":"TL4UFVAQIOUE","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"TL4UFVAQIOUEHYY6","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"TL4UFVAQ","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:181a28fb6611a8c4bd3605c06437c9c7b20a4050fed48ff490c0022aa7b199f6","target":"graph","created_at":"2026-05-18T03:13:46Z","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":"Study of recurrences in earthquakes, climate, financial time-series, etc. is crucial to better forecast disasters and limit their consequences. However, almost all the previous phenomenological studies involved only a long-ranged autocorrelation function, or disregarded the multi-scaling properties induced by potential higher order dependencies. Consequently, they missed the facts that non-linear dependences do impact both the statistics and dynamics of recurrence times, and that scaling arguments for the unconditional distribution may not be applicable. We argue that copulas is the correct mo","authors_text":"Anirban Chakraborti, R\\'emy Chicheportiche","cross_cats":["q-fin.ST"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2013-02-15T09:10:49Z","title":"A model-free characterization of recurrences in stationary time series"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.3704","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:bd65469a5c324b59f85e4f912604af4e33ee2f5df83faef2f13dc0f3e057f078","target":"record","created_at":"2026-05-18T03:13:46Z","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":"1d13a50135a45d5f0a7ddf16b016d5d321bb6a7b4eae9845a3e91f69cd2a7520","cross_cats_sorted":["q-fin.ST"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2013-02-15T09:10:49Z","title_canon_sha256":"b89b0e9b86713c2fe7fbe558a03a48948059fcee20424aa3a1facf2d6215fb13"},"schema_version":"1.0","source":{"id":"1302.3704","kind":"arxiv","version":2}},"canonical_sha256":"9af942d41043a843e31e42fbad5924133ac6e936cc5cdf4f41e18242b5fa426e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9af942d41043a843e31e42fbad5924133ac6e936cc5cdf4f41e18242b5fa426e","first_computed_at":"2026-05-18T03:13:46.116784Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:13:46.116784Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zZHTH7qsTNCuPsVG37FFCN6uMZgZIW4/I9V0HTHMe1LGsJZYFHUaNxvqQp044w7zbDF1Nm7K3bOmj4xYnb79DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:13:46.117657Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.3704","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bd65469a5c324b59f85e4f912604af4e33ee2f5df83faef2f13dc0f3e057f078","sha256:181a28fb6611a8c4bd3605c06437c9c7b20a4050fed48ff490c0022aa7b199f6"],"state_sha256":"47b3fe62a8732fa9fe758c0023ff5e92579c3eebd675fbfe23a000ab8d2be941"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N6yM849r0pZgod9C4vWgmduak21+cn+XCY0XEzA0d968d2rKf3pYFzXEwpZDf9CAmNW3k/X/dnLLMcDXwoZ/BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T15:49:47.504214Z","bundle_sha256":"71795d13480fe8a753466db63c82b2bc568d46b13895238e143b7e9c705a3eb2"}}