{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:WQCKUOJTVISNPE3QORJFXPYAME","short_pith_number":"pith:WQCKUOJT","schema_version":"1.0","canonical_sha256":"b404aa3933aa24d7937074525bbf00612b82c6d9d9bca7178bf9b18e428bd9cd","source":{"kind":"arxiv","id":"0901.2733","version":3},"attestation_state":"computed","paper":{"title":"Stochastic growth equations on growing domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci"],"primary_cat":"cond-mat.stat-mech","authors_text":"Carlos Escudero","submitted_at":"2009-01-18T20:22:48Z","abstract_excerpt":"The dynamics of linear stochastic growth equations on growing substrates is studied. The substrate is assumed to grow in time following the power law $t^\\gamma$, where the growth index $\\gamma$ is an arbitrary positive number. Two different regimes are clearly identified: for small $\\gamma$ the interface becomes correlated, and the dynamics is dominated by diffusion; for large $\\gamma$ the interface stays uncorrelated, and the dynamics is dominated by dilution. In this second regime, for short time intervals and spatial scales the critical exponents corresponding to the non-growing substrate s"},"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":"0901.2733","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-01-18T20:22:48Z","cross_cats_sorted":["cond-mat.mtrl-sci"],"title_canon_sha256":"955e15acf996928942ea7b79daaa03ec39e7545fbc64cb93d9e8415040d4eea6","abstract_canon_sha256":"83b0c2bcfd2858fda356e5d0042c5860b8b6e2e76ccc6a55d7773a0432c0f0d2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:14:56.892256Z","signature_b64":"yl+IZElRfIO01t/rctZxDaazpGqf9WWGDe3ufmonWdblYYP6SnXUneR7xx0aFgdowD94/7pEbNRBdTMaQQWuBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b404aa3933aa24d7937074525bbf00612b82c6d9d9bca7178bf9b18e428bd9cd","last_reissued_at":"2026-05-18T02:14:56.891740Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:14:56.891740Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stochastic growth equations on growing domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci"],"primary_cat":"cond-mat.stat-mech","authors_text":"Carlos Escudero","submitted_at":"2009-01-18T20:22:48Z","abstract_excerpt":"The dynamics of linear stochastic growth equations on growing substrates is studied. The substrate is assumed to grow in time following the power law $t^\\gamma$, where the growth index $\\gamma$ is an arbitrary positive number. Two different regimes are clearly identified: for small $\\gamma$ the interface becomes correlated, and the dynamics is dominated by diffusion; for large $\\gamma$ the interface stays uncorrelated, and the dynamics is dominated by dilution. In this second regime, for short time intervals and spatial scales the critical exponents corresponding to the non-growing substrate s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.2733","kind":"arxiv","version":3},"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":"0901.2733","created_at":"2026-05-18T02:14:56.891806+00:00"},{"alias_kind":"arxiv_version","alias_value":"0901.2733v3","created_at":"2026-05-18T02:14:56.891806+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.2733","created_at":"2026-05-18T02:14:56.891806+00:00"},{"alias_kind":"pith_short_12","alias_value":"WQCKUOJTVISN","created_at":"2026-05-18T12:26:02.257875+00:00"},{"alias_kind":"pith_short_16","alias_value":"WQCKUOJTVISNPE3Q","created_at":"2026-05-18T12:26:02.257875+00:00"},{"alias_kind":"pith_short_8","alias_value":"WQCKUOJT","created_at":"2026-05-18T12:26:02.257875+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/WQCKUOJTVISNPE3QORJFXPYAME","json":"https://pith.science/pith/WQCKUOJTVISNPE3QORJFXPYAME.json","graph_json":"https://pith.science/api/pith-number/WQCKUOJTVISNPE3QORJFXPYAME/graph.json","events_json":"https://pith.science/api/pith-number/WQCKUOJTVISNPE3QORJFXPYAME/events.json","paper":"https://pith.science/paper/WQCKUOJT"},"agent_actions":{"view_html":"https://pith.science/pith/WQCKUOJTVISNPE3QORJFXPYAME","download_json":"https://pith.science/pith/WQCKUOJTVISNPE3QORJFXPYAME.json","view_paper":"https://pith.science/paper/WQCKUOJT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0901.2733&json=true","fetch_graph":"https://pith.science/api/pith-number/WQCKUOJTVISNPE3QORJFXPYAME/graph.json","fetch_events":"https://pith.science/api/pith-number/WQCKUOJTVISNPE3QORJFXPYAME/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WQCKUOJTVISNPE3QORJFXPYAME/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WQCKUOJTVISNPE3QORJFXPYAME/action/storage_attestation","attest_author":"https://pith.science/pith/WQCKUOJTVISNPE3QORJFXPYAME/action/author_attestation","sign_citation":"https://pith.science/pith/WQCKUOJTVISNPE3QORJFXPYAME/action/citation_signature","submit_replication":"https://pith.science/pith/WQCKUOJTVISNPE3QORJFXPYAME/action/replication_record"}},"created_at":"2026-05-18T02:14:56.891806+00:00","updated_at":"2026-05-18T02:14:56.891806+00:00"}