{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:E3QOFQN2MGPNCS6R547AGG3UWC","short_pith_number":"pith:E3QOFQN2","schema_version":"1.0","canonical_sha256":"26e0e2c1ba619ed14bd1ef3e031b74b0b28a6d4ef0ec13bb6eb4b34bf6b5c37f","source":{"kind":"arxiv","id":"math-ph/0702065","version":1},"attestation_state":"computed","paper":{"title":"Fractional Dynamics of Systems with Long-Range Space Interaction and Temporal Memory","license":"","headline":"","cross_cats":["cond-mat.other","math.DS","math.MP","nlin.CD","physics.class-ph"],"primary_cat":"math-ph","authors_text":"George M. Zaslavsky, Vasily E. Tarasov","submitted_at":"2007-02-18T20:13:57Z","abstract_excerpt":"Field equations with time and coordinates derivatives of noninteger order are derived from stationary action principle for the cases of power-law memory function and long-range interaction in systems. The method is applied to obtain a fractional generalization of the Ginzburg-Landau and nonlinear Schrodinger equations. As another example, dynamical equations for particles chain with power-law interaction and memory are considered in the continuous limit. The obtained fractional equations can be applied to complex media with/without random parameters or processes."},"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":"math-ph/0702065","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2007-02-18T20:13:57Z","cross_cats_sorted":["cond-mat.other","math.DS","math.MP","nlin.CD","physics.class-ph"],"title_canon_sha256":"57bb341542a2deef5fc9becaf3b096ae3d2a9213e7445edc00759949faf46b36","abstract_canon_sha256":"e9c16434a375548c96aeaba6293793f9755b06b049680001f808264872de1dfa"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:25:12.478705Z","signature_b64":"gmycp3pnJyI19/aPSk7wB/fGXQUSnSxIXKYKs1fNqT7a5zk8f9r6Iei7htWe0M0niTyDsC0ExjgHxBeZu34kDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"26e0e2c1ba619ed14bd1ef3e031b74b0b28a6d4ef0ec13bb6eb4b34bf6b5c37f","last_reissued_at":"2026-05-18T02:25:12.478130Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:25:12.478130Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fractional Dynamics of Systems with Long-Range Space Interaction and Temporal Memory","license":"","headline":"","cross_cats":["cond-mat.other","math.DS","math.MP","nlin.CD","physics.class-ph"],"primary_cat":"math-ph","authors_text":"George M. Zaslavsky, Vasily E. Tarasov","submitted_at":"2007-02-18T20:13:57Z","abstract_excerpt":"Field equations with time and coordinates derivatives of noninteger order are derived from stationary action principle for the cases of power-law memory function and long-range interaction in systems. The method is applied to obtain a fractional generalization of the Ginzburg-Landau and nonlinear Schrodinger equations. As another example, dynamical equations for particles chain with power-law interaction and memory are considered in the continuous limit. The obtained fractional equations can be applied to complex media with/without random parameters or processes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0702065","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":"math-ph/0702065","created_at":"2026-05-18T02:25:12.478213+00:00"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0702065v1","created_at":"2026-05-18T02:25:12.478213+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0702065","created_at":"2026-05-18T02:25:12.478213+00:00"},{"alias_kind":"pith_short_12","alias_value":"E3QOFQN2MGPN","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_16","alias_value":"E3QOFQN2MGPNCS6R","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_8","alias_value":"E3QOFQN2","created_at":"2026-05-18T12:25:55.427421+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/E3QOFQN2MGPNCS6R547AGG3UWC","json":"https://pith.science/pith/E3QOFQN2MGPNCS6R547AGG3UWC.json","graph_json":"https://pith.science/api/pith-number/E3QOFQN2MGPNCS6R547AGG3UWC/graph.json","events_json":"https://pith.science/api/pith-number/E3QOFQN2MGPNCS6R547AGG3UWC/events.json","paper":"https://pith.science/paper/E3QOFQN2"},"agent_actions":{"view_html":"https://pith.science/pith/E3QOFQN2MGPNCS6R547AGG3UWC","download_json":"https://pith.science/pith/E3QOFQN2MGPNCS6R547AGG3UWC.json","view_paper":"https://pith.science/paper/E3QOFQN2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math-ph/0702065&json=true","fetch_graph":"https://pith.science/api/pith-number/E3QOFQN2MGPNCS6R547AGG3UWC/graph.json","fetch_events":"https://pith.science/api/pith-number/E3QOFQN2MGPNCS6R547AGG3UWC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/E3QOFQN2MGPNCS6R547AGG3UWC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/E3QOFQN2MGPNCS6R547AGG3UWC/action/storage_attestation","attest_author":"https://pith.science/pith/E3QOFQN2MGPNCS6R547AGG3UWC/action/author_attestation","sign_citation":"https://pith.science/pith/E3QOFQN2MGPNCS6R547AGG3UWC/action/citation_signature","submit_replication":"https://pith.science/pith/E3QOFQN2MGPNCS6R547AGG3UWC/action/replication_record"}},"created_at":"2026-05-18T02:25:12.478213+00:00","updated_at":"2026-05-18T02:25:12.478213+00:00"}