{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2002:LDCDHXUYAR2WKD2V64XGMKGPVG","short_pith_number":"pith:LDCDHXUY","schema_version":"1.0","canonical_sha256":"58c433de980475650f55f72e6628cfa9a0a11a671adbae1e7358649d3dc8fd0d","source":{"kind":"arxiv","id":"cond-mat/0202326","version":1},"attestation_state":"computed","paper":{"title":"The dynamical foundation of fractal stream chemistry: The origin of extremely long retention times","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"B. Berkowitz, G. Margolin, H. Scher, J. Klafter, R. Metzler","submitted_at":"2002-02-19T21:32:07Z","abstract_excerpt":"We present a physical model to explain the behavior of long-term, time series measurements of chloride, a natural passive tracer, in rainfall and runoff in catchments [Kirchner et al., Nature 403(524), 2000]. A spectral analysis of the data shows the chloride concentrations in rainfall to have a white noise spectrum, while in streamflow, the spectrum exhibits a fractal $1/f$ scaling. The empirically derived distribution of tracer travel times $h(t)$ follows a power-law, indicating low-level contaminant delivery to streams for a very long time. Our transport model is based on a continuous time "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"cond-mat/0202326","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2002-02-19T21:32:07Z","cross_cats_sorted":[],"title_canon_sha256":"82400ab49513496632f5294b28d8d7c604446180d217f8650ebbe818d8a0bd38","abstract_canon_sha256":"3c7b1ee72d87179b3906543f7f051ff923420b130cf8d9017255fc461cafafde"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:40:04.031307Z","signature_b64":"PG8/Ihjk7DgM4HS0L5od/SjWoB8y4cNEJkON5zrvz9ReBs4dkmapRmDP18IKw1fHD7W9HhwqbaSI1yTRJnAeCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"58c433de980475650f55f72e6628cfa9a0a11a671adbae1e7358649d3dc8fd0d","last_reissued_at":"2026-05-18T01:40:04.030790Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:40:04.030790Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The dynamical foundation of fractal stream chemistry: The origin of extremely long retention times","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"B. Berkowitz, G. Margolin, H. Scher, J. Klafter, R. Metzler","submitted_at":"2002-02-19T21:32:07Z","abstract_excerpt":"We present a physical model to explain the behavior of long-term, time series measurements of chloride, a natural passive tracer, in rainfall and runoff in catchments [Kirchner et al., Nature 403(524), 2000]. A spectral analysis of the data shows the chloride concentrations in rainfall to have a white noise spectrum, while in streamflow, the spectrum exhibits a fractal $1/f$ scaling. The empirically derived distribution of tracer travel times $h(t)$ follows a power-law, indicating low-level contaminant delivery to streams for a very long time. Our transport model is based on a continuous time "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0202326","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0202326","created_at":"2026-05-18T01:40:04.030880+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0202326v1","created_at":"2026-05-18T01:40:04.030880+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0202326","created_at":"2026-05-18T01:40:04.030880+00:00"},{"alias_kind":"pith_short_12","alias_value":"LDCDHXUYAR2W","created_at":"2026-05-18T12:25:51.375804+00:00"},{"alias_kind":"pith_short_16","alias_value":"LDCDHXUYAR2WKD2V","created_at":"2026-05-18T12:25:51.375804+00:00"},{"alias_kind":"pith_short_8","alias_value":"LDCDHXUY","created_at":"2026-05-18T12:25:51.375804+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/LDCDHXUYAR2WKD2V64XGMKGPVG","json":"https://pith.science/pith/LDCDHXUYAR2WKD2V64XGMKGPVG.json","graph_json":"https://pith.science/api/pith-number/LDCDHXUYAR2WKD2V64XGMKGPVG/graph.json","events_json":"https://pith.science/api/pith-number/LDCDHXUYAR2WKD2V64XGMKGPVG/events.json","paper":"https://pith.science/paper/LDCDHXUY"},"agent_actions":{"view_html":"https://pith.science/pith/LDCDHXUYAR2WKD2V64XGMKGPVG","download_json":"https://pith.science/pith/LDCDHXUYAR2WKD2V64XGMKGPVG.json","view_paper":"https://pith.science/paper/LDCDHXUY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/0202326&json=true","fetch_graph":"https://pith.science/api/pith-number/LDCDHXUYAR2WKD2V64XGMKGPVG/graph.json","fetch_events":"https://pith.science/api/pith-number/LDCDHXUYAR2WKD2V64XGMKGPVG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LDCDHXUYAR2WKD2V64XGMKGPVG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LDCDHXUYAR2WKD2V64XGMKGPVG/action/storage_attestation","attest_author":"https://pith.science/pith/LDCDHXUYAR2WKD2V64XGMKGPVG/action/author_attestation","sign_citation":"https://pith.science/pith/LDCDHXUYAR2WKD2V64XGMKGPVG/action/citation_signature","submit_replication":"https://pith.science/pith/LDCDHXUYAR2WKD2V64XGMKGPVG/action/replication_record"}},"created_at":"2026-05-18T01:40:04.030880+00:00","updated_at":"2026-05-18T01:40:04.030880+00:00"}