{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:TRQF7EJLGOZODJ5IWXJGDZ2BNK","short_pith_number":"pith:TRQF7EJL","canonical_record":{"source":{"id":"1001.4401","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.ST","submitted_at":"2010-01-25T12:12:45Z","cross_cats_sorted":["physics.data-an"],"title_canon_sha256":"67d65f8ce4940214a50a90744480fef130803481da87db306222013ee9470a5b","abstract_canon_sha256":"d2ffcba30faa22204bc1dcd77a4d2ad2e430ed07dc2339774f85e549bcdea46c"},"schema_version":"1.0"},"canonical_sha256":"9c605f912b33b2e1a7a8b5d261e7416a9c8bf4c015b3651a43d940b8068eb20c","source":{"kind":"arxiv","id":"1001.4401","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.4401","created_at":"2026-05-18T04:14:53Z"},{"alias_kind":"arxiv_version","alias_value":"1001.4401v3","created_at":"2026-05-18T04:14:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.4401","created_at":"2026-05-18T04:14:53Z"},{"alias_kind":"pith_short_12","alias_value":"TRQF7EJLGOZO","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"TRQF7EJLGOZODJ5I","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"TRQF7EJL","created_at":"2026-05-18T12:26:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:TRQF7EJLGOZODJ5IWXJGDZ2BNK","target":"record","payload":{"canonical_record":{"source":{"id":"1001.4401","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.ST","submitted_at":"2010-01-25T12:12:45Z","cross_cats_sorted":["physics.data-an"],"title_canon_sha256":"67d65f8ce4940214a50a90744480fef130803481da87db306222013ee9470a5b","abstract_canon_sha256":"d2ffcba30faa22204bc1dcd77a4d2ad2e430ed07dc2339774f85e549bcdea46c"},"schema_version":"1.0"},"canonical_sha256":"9c605f912b33b2e1a7a8b5d261e7416a9c8bf4c015b3651a43d940b8068eb20c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:14:53.559798Z","signature_b64":"NEd9grqvg1w1blLvngORPoMff0/GvM+q3vWWm7dQ7JsRaT+Q1VVpgGenrrJN3b5s10YvgtbYOeSBneh0Iu1XAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9c605f912b33b2e1a7a8b5d261e7416a9c8bf4c015b3651a43d940b8068eb20c","last_reissued_at":"2026-05-18T04:14:53.559293Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:14:53.559293Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1001.4401","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:14:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9o9zmb1NMnxJH/4e1zKd5gGBMvn1EE9R+29dZNTSBqoCeffhvGptVEpBHal1tChIOr/eu5xsFjg76rJD8CsMAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T07:31:41.305738Z"},"content_sha256":"b7055a9a80d5d11af48af24082940957eeefd75366e232e2e40ce35c62c1c45e","schema_version":"1.0","event_id":"sha256:b7055a9a80d5d11af48af24082940957eeefd75366e232e2e40ce35c62c1c45e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:TRQF7EJLGOZODJ5IWXJGDZ2BNK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The level crossing and inverse statistic analysis of German stock market index (DAX) and daily oil price time series","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.data-an"],"primary_cat":"q-fin.ST","authors_text":"F. Shayeganfar, J. Peinke, M. Holling, M. Reza Rahimi Tabar","submitted_at":"2010-01-25T12:12:45Z","abstract_excerpt":"The level crossing and inverse statistics analysis of DAX and oil price time series are given. We determine the average frequency of positive-slope crossings, $\\nu_{\\alpha}^+$, where $T_{\\alpha} =1/\\nu_{\\alpha}^+ $ is the average waiting time for observing the level $\\alpha$ again. We estimate the probability $P(K, \\alpha)$, which provides us the probability of observing $K$ times of the level $\\alpha$ with positive slope, in time scale $T_{\\alpha}$. For analyzed time series we found that maximum $K$ is about 6. We show that by using the level crossing analysis one can estimate how the DAX and"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.4401","kind":"arxiv","version":3},"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":"2026-05-18T04:14:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bK/lAJbCMJkPVpv0cOvkfJT0sgHUhxqmIPrnzSA30TBaQszxB4e+aznj7lp45k3vMIfL+qMCtH23lvhwZ24QBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T07:31:41.306085Z"},"content_sha256":"bbe3fa80137d39938b7d9e10c238e512168e2deb5441bd741de775d00a7af818","schema_version":"1.0","event_id":"sha256:bbe3fa80137d39938b7d9e10c238e512168e2deb5441bd741de775d00a7af818"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TRQF7EJLGOZODJ5IWXJGDZ2BNK/bundle.json","state_url":"https://pith.science/pith/TRQF7EJLGOZODJ5IWXJGDZ2BNK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TRQF7EJLGOZODJ5IWXJGDZ2BNK/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":"2026-06-03T07:31:41Z","links":{"resolver":"https://pith.science/pith/TRQF7EJLGOZODJ5IWXJGDZ2BNK","bundle":"https://pith.science/pith/TRQF7EJLGOZODJ5IWXJGDZ2BNK/bundle.json","state":"https://pith.science/pith/TRQF7EJLGOZODJ5IWXJGDZ2BNK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TRQF7EJLGOZODJ5IWXJGDZ2BNK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:TRQF7EJLGOZODJ5IWXJGDZ2BNK","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":"d2ffcba30faa22204bc1dcd77a4d2ad2e430ed07dc2339774f85e549bcdea46c","cross_cats_sorted":["physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.ST","submitted_at":"2010-01-25T12:12:45Z","title_canon_sha256":"67d65f8ce4940214a50a90744480fef130803481da87db306222013ee9470a5b"},"schema_version":"1.0","source":{"id":"1001.4401","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.4401","created_at":"2026-05-18T04:14:53Z"},{"alias_kind":"arxiv_version","alias_value":"1001.4401v3","created_at":"2026-05-18T04:14:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.4401","created_at":"2026-05-18T04:14:53Z"},{"alias_kind":"pith_short_12","alias_value":"TRQF7EJLGOZO","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"TRQF7EJLGOZODJ5I","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"TRQF7EJL","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:bbe3fa80137d39938b7d9e10c238e512168e2deb5441bd741de775d00a7af818","target":"graph","created_at":"2026-05-18T04:14:53Z","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 level crossing and inverse statistics analysis of DAX and oil price time series are given. We determine the average frequency of positive-slope crossings, $\\nu_{\\alpha}^+$, where $T_{\\alpha} =1/\\nu_{\\alpha}^+ $ is the average waiting time for observing the level $\\alpha$ again. We estimate the probability $P(K, \\alpha)$, which provides us the probability of observing $K$ times of the level $\\alpha$ with positive slope, in time scale $T_{\\alpha}$. For analyzed time series we found that maximum $K$ is about 6. We show that by using the level crossing analysis one can estimate how the DAX and","authors_text":"F. Shayeganfar, J. Peinke, M. Holling, M. Reza Rahimi Tabar","cross_cats":["physics.data-an"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.ST","submitted_at":"2010-01-25T12:12:45Z","title":"The level crossing and inverse statistic analysis of German stock market index (DAX) and daily oil price time series"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.4401","kind":"arxiv","version":3},"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:b7055a9a80d5d11af48af24082940957eeefd75366e232e2e40ce35c62c1c45e","target":"record","created_at":"2026-05-18T04:14:53Z","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":"d2ffcba30faa22204bc1dcd77a4d2ad2e430ed07dc2339774f85e549bcdea46c","cross_cats_sorted":["physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.ST","submitted_at":"2010-01-25T12:12:45Z","title_canon_sha256":"67d65f8ce4940214a50a90744480fef130803481da87db306222013ee9470a5b"},"schema_version":"1.0","source":{"id":"1001.4401","kind":"arxiv","version":3}},"canonical_sha256":"9c605f912b33b2e1a7a8b5d261e7416a9c8bf4c015b3651a43d940b8068eb20c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c605f912b33b2e1a7a8b5d261e7416a9c8bf4c015b3651a43d940b8068eb20c","first_computed_at":"2026-05-18T04:14:53.559293Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:14:53.559293Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NEd9grqvg1w1blLvngORPoMff0/GvM+q3vWWm7dQ7JsRaT+Q1VVpgGenrrJN3b5s10YvgtbYOeSBneh0Iu1XAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:14:53.559798Z","signed_message":"canonical_sha256_bytes"},"source_id":"1001.4401","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b7055a9a80d5d11af48af24082940957eeefd75366e232e2e40ce35c62c1c45e","sha256:bbe3fa80137d39938b7d9e10c238e512168e2deb5441bd741de775d00a7af818"],"state_sha256":"581bb0991d2bb917525dad95ce23bab82968425cbcb1e8bdba118d9b8047a26e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cp1A+zaZEUeZJpAP8a/2cFIQS/gbfY1Ivq9hHVcRAMKUSCsu9i9ZwRClhhFTUgBmGkbz2LXuZ68TY28BW9QuDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T07:31:41.308035Z","bundle_sha256":"6902a38c671e110f3865fe32676c3ef296bf5c95f1671f5b6cd34c93ef18c5d1"}}