{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:K7HT6JPE7KIKU4Z6DZLGLWQUUE","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":"e1a8cb9c6fa595bbdc9a942116b23caedff99e5a888fb782c23857f6d17ad401","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-12-13T17:07:02Z","title_canon_sha256":"1ef5b64088d314263d5ef9f6d1d5050923d4e31702e3a1c06ffdce735985b721"},"schema_version":"1.0","source":{"id":"1312.3878","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.3878","created_at":"2026-05-18T02:53:07Z"},{"alias_kind":"arxiv_version","alias_value":"1312.3878v1","created_at":"2026-05-18T02:53:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.3878","created_at":"2026-05-18T02:53:07Z"},{"alias_kind":"pith_short_12","alias_value":"K7HT6JPE7KIK","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"K7HT6JPE7KIKU4Z6","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"K7HT6JPE","created_at":"2026-05-18T12:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:286ba78f08c9999be85c4458215b5b1c4839185bb42ed843ede997c2feb88acb","target":"graph","created_at":"2026-05-18T02:53:07Z","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":"Time series defined by a p-adic pseudo-differential equation is investigated using the expansion of the time series over p-adic wavelets. Quadratic correlation function is computed. This correlation function shows a degree--like behavior and is locally constant for some time periods. It is natural to apply this kind of models for the investigation of avalanche processes and punctuated equilibrium as well as fractal-like analysis of time series generated by measurement of pressure in oil wells.","authors_text":"A. G. Jaramillo, A.Yu. Khrennikov, K. Oleschko, M. de Jesus Correa Lopez, S.V. Kozyrev","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-12-13T17:07:02Z","title":"Application of p-adic analysis to time series"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.3878","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":"sha256:6d9500f1d413c54f56962d3c7c1d6a4805bad74e87b7c9dd7d48c64c1815d245","target":"record","created_at":"2026-05-18T02:53:07Z","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":"e1a8cb9c6fa595bbdc9a942116b23caedff99e5a888fb782c23857f6d17ad401","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-12-13T17:07:02Z","title_canon_sha256":"1ef5b64088d314263d5ef9f6d1d5050923d4e31702e3a1c06ffdce735985b721"},"schema_version":"1.0","source":{"id":"1312.3878","kind":"arxiv","version":1}},"canonical_sha256":"57cf3f25e4fa90aa733e1e5665da14a13e92b76adbcb05cb3d1a0f487fb7ee01","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"57cf3f25e4fa90aa733e1e5665da14a13e92b76adbcb05cb3d1a0f487fb7ee01","first_computed_at":"2026-05-18T02:53:07.652649Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:53:07.652649Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"f6stNfy3pOk8sJJ3UJyH1JTS0kQ4p57BOUlgzWNHBwUrDLwLE2JcDFtWI6LKxrcaOlR+RB+D5xHM41W6g3bsAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:53:07.653339Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.3878","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6d9500f1d413c54f56962d3c7c1d6a4805bad74e87b7c9dd7d48c64c1815d245","sha256:286ba78f08c9999be85c4458215b5b1c4839185bb42ed843ede997c2feb88acb"],"state_sha256":"fe83fb72ccb85eaa2616dc9eb2ad5b1e71d4a4583f40a43c0859020da37059d6"}