{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:EVFZMRC5SNE6ORH6I6F6A6Y75H","short_pith_number":"pith:EVFZMRC5","schema_version":"1.0","canonical_sha256":"254b96445d9349e744fe478be07b1fe9f89976b440a4d5cce5664ee2f8375639","source":{"kind":"arxiv","id":"0907.1837","version":1},"attestation_state":"computed","paper":{"title":"Fractional Equations of Curie-von Schweidler and Gauss Laws","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.class-ph"],"primary_cat":"physics.optics","authors_text":"Vasily E. Tarasov","submitted_at":"2009-07-10T14:50:21Z","abstract_excerpt":"The dielectric susceptibility of most materials follows a fractional power-law frequency dependence that is called the \"universal\" response. We prove that in the time domain this dependence gives differential equations with derivatives and integrals of noninteger order. We obtain equations that describe \"universal\" Curie-von Schweidler and Gauss laws for such dielectric materials. These laws are presented by fractional differential equations such that the electromagnetic fields in the materials demonstrate \"universal\" fractional damping. The suggested fractional equations are common (universal"},"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":"0907.1837","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2009-07-10T14:50:21Z","cross_cats_sorted":["physics.class-ph"],"title_canon_sha256":"bde0ca64b96f43aa7c6651912523cb4622ca1d09616582c1b784b078a20e4418","abstract_canon_sha256":"36e73eb74bb9b3d67b21211659a1076f2fb5d60dde92ece0470335a9a259097f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:25:44.812544Z","signature_b64":"o+U28b4kVRo7F4QA+BnW9ts0lvTFSajxa3DrVIgPtS0ZhxBZ1rvLI0izhVgLROAIG59l6l5KEi6sH7KiR/wjBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"254b96445d9349e744fe478be07b1fe9f89976b440a4d5cce5664ee2f8375639","last_reissued_at":"2026-05-18T00:25:44.811953Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:25:44.811953Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fractional Equations of Curie-von Schweidler and Gauss Laws","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.class-ph"],"primary_cat":"physics.optics","authors_text":"Vasily E. Tarasov","submitted_at":"2009-07-10T14:50:21Z","abstract_excerpt":"The dielectric susceptibility of most materials follows a fractional power-law frequency dependence that is called the \"universal\" response. We prove that in the time domain this dependence gives differential equations with derivatives and integrals of noninteger order. We obtain equations that describe \"universal\" Curie-von Schweidler and Gauss laws for such dielectric materials. These laws are presented by fractional differential equations such that the electromagnetic fields in the materials demonstrate \"universal\" fractional damping. The suggested fractional equations are common (universal"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.1837","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":"0907.1837","created_at":"2026-05-18T00:25:44.812059+00:00"},{"alias_kind":"arxiv_version","alias_value":"0907.1837v1","created_at":"2026-05-18T00:25:44.812059+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.1837","created_at":"2026-05-18T00:25:44.812059+00:00"},{"alias_kind":"pith_short_12","alias_value":"EVFZMRC5SNE6","created_at":"2026-05-18T12:25:59.703012+00:00"},{"alias_kind":"pith_short_16","alias_value":"EVFZMRC5SNE6ORH6","created_at":"2026-05-18T12:25:59.703012+00:00"},{"alias_kind":"pith_short_8","alias_value":"EVFZMRC5","created_at":"2026-05-18T12:25:59.703012+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/EVFZMRC5SNE6ORH6I6F6A6Y75H","json":"https://pith.science/pith/EVFZMRC5SNE6ORH6I6F6A6Y75H.json","graph_json":"https://pith.science/api/pith-number/EVFZMRC5SNE6ORH6I6F6A6Y75H/graph.json","events_json":"https://pith.science/api/pith-number/EVFZMRC5SNE6ORH6I6F6A6Y75H/events.json","paper":"https://pith.science/paper/EVFZMRC5"},"agent_actions":{"view_html":"https://pith.science/pith/EVFZMRC5SNE6ORH6I6F6A6Y75H","download_json":"https://pith.science/pith/EVFZMRC5SNE6ORH6I6F6A6Y75H.json","view_paper":"https://pith.science/paper/EVFZMRC5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0907.1837&json=true","fetch_graph":"https://pith.science/api/pith-number/EVFZMRC5SNE6ORH6I6F6A6Y75H/graph.json","fetch_events":"https://pith.science/api/pith-number/EVFZMRC5SNE6ORH6I6F6A6Y75H/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EVFZMRC5SNE6ORH6I6F6A6Y75H/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EVFZMRC5SNE6ORH6I6F6A6Y75H/action/storage_attestation","attest_author":"https://pith.science/pith/EVFZMRC5SNE6ORH6I6F6A6Y75H/action/author_attestation","sign_citation":"https://pith.science/pith/EVFZMRC5SNE6ORH6I6F6A6Y75H/action/citation_signature","submit_replication":"https://pith.science/pith/EVFZMRC5SNE6ORH6I6F6A6Y75H/action/replication_record"}},"created_at":"2026-05-18T00:25:44.812059+00:00","updated_at":"2026-05-18T00:25:44.812059+00:00"}