{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:M32A2CUN6XDDD5AY3SDKH32NET","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":"74e0d4690c26c40cefea8487c3b1895e46f3a869683fe83e7414df120b862255","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-09-14T08:58:08Z","title_canon_sha256":"b65219a08efefc30a78bc4a922deca152d862352814750de8df91fe130090c2a"},"schema_version":"1.0","source":{"id":"1709.04671","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.04671","created_at":"2026-05-18T00:33:12Z"},{"alias_kind":"arxiv_version","alias_value":"1709.04671v1","created_at":"2026-05-18T00:33:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.04671","created_at":"2026-05-18T00:33:12Z"},{"alias_kind":"pith_short_12","alias_value":"M32A2CUN6XDD","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"M32A2CUN6XDDD5AY","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"M32A2CUN","created_at":"2026-05-18T12:31:28Z"}],"graph_snapshots":[{"event_id":"sha256:1ce30aabf74fb24b42f03839fe4650ffae93ef069da35c9964cb9edeaab2f181","target":"graph","created_at":"2026-05-18T00:33:12Z","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 L\\'evy walk process with rests is discussed. The jumping time is governed by an $\\alpha$-stable distribution with $\\alpha>1$ while a waiting time distribution is Poissonian and involves a position-dependent rate which reflects a nonhomogeneous trap distribution. The master equation is derived and solved in the asymptotic limit for a power-law form of the jumping rate. The relative density of resting and flying particles appears time-dependent and the asymptotic form of both distribution obey a stretched-exponential shape at large time. The diffusion properties are discussed and it is demon","authors_text":"A. Kami\\'nska, T. Srokowski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-09-14T08:58:08Z","title":"L\\'evy walks in nonhomogeneous environments"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.04671","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":"sha256:9db59586446e6614e3ecce801c5a64c46de1827329007d720a5ccbb6e44e8478","target":"record","created_at":"2026-05-18T00:33:12Z","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":"74e0d4690c26c40cefea8487c3b1895e46f3a869683fe83e7414df120b862255","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-09-14T08:58:08Z","title_canon_sha256":"b65219a08efefc30a78bc4a922deca152d862352814750de8df91fe130090c2a"},"schema_version":"1.0","source":{"id":"1709.04671","kind":"arxiv","version":1}},"canonical_sha256":"66f40d0a8df5c631f418dc86a3ef4d24e79da9a19c3022be6bb0ef69b1ddb7c9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"66f40d0a8df5c631f418dc86a3ef4d24e79da9a19c3022be6bb0ef69b1ddb7c9","first_computed_at":"2026-05-18T00:33:12.952015Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:33:12.952015Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NjVaYWHzwX2zI6HXgdRi88vD4e92zNV5XsvNiRTipZqGlA8bWQGm9PSxKhCIr2i7ouzFD7U/l41Y8Dx3rZcJBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:33:12.952453Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.04671","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9db59586446e6614e3ecce801c5a64c46de1827329007d720a5ccbb6e44e8478","sha256:1ce30aabf74fb24b42f03839fe4650ffae93ef069da35c9964cb9edeaab2f181"],"state_sha256":"4c63ebbfac748c49e8e4dbee398147c8b5a3e3bb6f0aa9068ee31c4a78929c88"}