{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:IMRO7LZQT6BMFKBO5JMFIL3HYZ","short_pith_number":"pith:IMRO7LZQ","schema_version":"1.0","canonical_sha256":"4322efaf309f82c2a82eea58542f67c64b8a335b1df27af6af2f7eef95c91208","source":{"kind":"arxiv","id":"1601.03864","version":1},"attestation_state":"computed","paper":{"title":"Characteristics of a random walk on a self-inflating support","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Haye Hinrichsen, Lukas Kades, Manuel Schrauth, Maximilian Schneider","submitted_at":"2016-01-15T10:27:42Z","abstract_excerpt":"Self-similar dynamical processes are characterized by a growing length scale $\\xi$ which increases with time as $\\xi \\sim t^{1/z}$, where z is the dynamical exponent. The best known example is a simple random walk with z=2. Usually such processes are assumed to take place on a static background. In this paper we address the question what changes if the background itself evolves dynamically. As an example we consider a random walk on an isotropically and homogeneously inflating space. For an exponentially fast expansion it turns out that the self-similar properties of the random walk are destro"},"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":"1601.03864","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-01-15T10:27:42Z","cross_cats_sorted":[],"title_canon_sha256":"bef93ad44bb30cd806cb798d8f7e9d1406c76dc802423eca057199f609e85016","abstract_canon_sha256":"c639b24033d74cf02875626fd7ac983463936ebd987afe02b15783cc3e3272c2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:49.813229Z","signature_b64":"UmZfwWSE6sTeaR5Irj6Ic8wM021/7S3e17K4YZV3FW8QeHwMQuHxsOrxIgvYu2aOF0911IbUSh5XGkzAWXjSBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4322efaf309f82c2a82eea58542f67c64b8a335b1df27af6af2f7eef95c91208","last_reissued_at":"2026-05-18T01:22:49.812491Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:49.812491Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Characteristics of a random walk on a self-inflating support","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Haye Hinrichsen, Lukas Kades, Manuel Schrauth, Maximilian Schneider","submitted_at":"2016-01-15T10:27:42Z","abstract_excerpt":"Self-similar dynamical processes are characterized by a growing length scale $\\xi$ which increases with time as $\\xi \\sim t^{1/z}$, where z is the dynamical exponent. The best known example is a simple random walk with z=2. Usually such processes are assumed to take place on a static background. In this paper we address the question what changes if the background itself evolves dynamically. As an example we consider a random walk on an isotropically and homogeneously inflating space. For an exponentially fast expansion it turns out that the self-similar properties of the random walk are destro"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.03864","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":"1601.03864","created_at":"2026-05-18T01:22:49.812592+00:00"},{"alias_kind":"arxiv_version","alias_value":"1601.03864v1","created_at":"2026-05-18T01:22:49.812592+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.03864","created_at":"2026-05-18T01:22:49.812592+00:00"},{"alias_kind":"pith_short_12","alias_value":"IMRO7LZQT6BM","created_at":"2026-05-18T12:30:22.444734+00:00"},{"alias_kind":"pith_short_16","alias_value":"IMRO7LZQT6BMFKBO","created_at":"2026-05-18T12:30:22.444734+00:00"},{"alias_kind":"pith_short_8","alias_value":"IMRO7LZQ","created_at":"2026-05-18T12:30:22.444734+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/IMRO7LZQT6BMFKBO5JMFIL3HYZ","json":"https://pith.science/pith/IMRO7LZQT6BMFKBO5JMFIL3HYZ.json","graph_json":"https://pith.science/api/pith-number/IMRO7LZQT6BMFKBO5JMFIL3HYZ/graph.json","events_json":"https://pith.science/api/pith-number/IMRO7LZQT6BMFKBO5JMFIL3HYZ/events.json","paper":"https://pith.science/paper/IMRO7LZQ"},"agent_actions":{"view_html":"https://pith.science/pith/IMRO7LZQT6BMFKBO5JMFIL3HYZ","download_json":"https://pith.science/pith/IMRO7LZQT6BMFKBO5JMFIL3HYZ.json","view_paper":"https://pith.science/paper/IMRO7LZQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1601.03864&json=true","fetch_graph":"https://pith.science/api/pith-number/IMRO7LZQT6BMFKBO5JMFIL3HYZ/graph.json","fetch_events":"https://pith.science/api/pith-number/IMRO7LZQT6BMFKBO5JMFIL3HYZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IMRO7LZQT6BMFKBO5JMFIL3HYZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IMRO7LZQT6BMFKBO5JMFIL3HYZ/action/storage_attestation","attest_author":"https://pith.science/pith/IMRO7LZQT6BMFKBO5JMFIL3HYZ/action/author_attestation","sign_citation":"https://pith.science/pith/IMRO7LZQT6BMFKBO5JMFIL3HYZ/action/citation_signature","submit_replication":"https://pith.science/pith/IMRO7LZQT6BMFKBO5JMFIL3HYZ/action/replication_record"}},"created_at":"2026-05-18T01:22:49.812592+00:00","updated_at":"2026-05-18T01:22:49.812592+00:00"}