{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:VMOQUWELEKQVIUKUSP3DYP2EUH","short_pith_number":"pith:VMOQUWEL","schema_version":"1.0","canonical_sha256":"ab1d0a588b22a154515493f63c3f44a1ce6d1b7a3936255ff1da254315df0559","source":{"kind":"arxiv","id":"1401.0160","version":1},"attestation_state":"computed","paper":{"title":"Stochastic Desertification","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"q-bio.PE","authors_text":"Haim Weissmann, Nadav M. Shnerb","submitted_at":"2013-12-31T15:31:44Z","abstract_excerpt":"The process of desertification is usually modeled as a first order transition, where a change of an external parameter (e.g. precipitation) leads to a catastrophic bifurcation followed by an ecological regime shift. However, vegetation elements like shrubs and trees undergo a stochastic birth-death process with an absorbing state; such a process supports a second order continuous transition with no hysteresis. We present a numerical study of a minimal model that supports bistability and catastrophic shift on spatial domain with demographic noise and an absorbing state. When the external parame"},"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":"1401.0160","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2013-12-31T15:31:44Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"64821a4fdd53dc0102951b5a8c3396536a6b8f527fe81c01bb1d4ecd507658f8","abstract_canon_sha256":"4f96cf714e76aa6010ae90d9f8ef658852e5f18f0a1b6e219fa8531649a14613"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:45:34.853912Z","signature_b64":"Ru3qnxGCCkz7plUYx5gQtC/IwnUsIqBT5dkolP8jVNaNgGc4TQZnEvT/GvRFIHECvJbbCIKTWn7t5Xk+8oinDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ab1d0a588b22a154515493f63c3f44a1ce6d1b7a3936255ff1da254315df0559","last_reissued_at":"2026-05-18T01:45:34.853457Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:45:34.853457Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stochastic Desertification","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"q-bio.PE","authors_text":"Haim Weissmann, Nadav M. Shnerb","submitted_at":"2013-12-31T15:31:44Z","abstract_excerpt":"The process of desertification is usually modeled as a first order transition, where a change of an external parameter (e.g. precipitation) leads to a catastrophic bifurcation followed by an ecological regime shift. However, vegetation elements like shrubs and trees undergo a stochastic birth-death process with an absorbing state; such a process supports a second order continuous transition with no hysteresis. We present a numerical study of a minimal model that supports bistability and catastrophic shift on spatial domain with demographic noise and an absorbing state. When the external parame"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.0160","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":"1401.0160","created_at":"2026-05-18T01:45:34.853527+00:00"},{"alias_kind":"arxiv_version","alias_value":"1401.0160v1","created_at":"2026-05-18T01:45:34.853527+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.0160","created_at":"2026-05-18T01:45:34.853527+00:00"},{"alias_kind":"pith_short_12","alias_value":"VMOQUWELEKQV","created_at":"2026-05-18T12:28:04.890932+00:00"},{"alias_kind":"pith_short_16","alias_value":"VMOQUWELEKQVIUKU","created_at":"2026-05-18T12:28:04.890932+00:00"},{"alias_kind":"pith_short_8","alias_value":"VMOQUWEL","created_at":"2026-05-18T12:28:04.890932+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/VMOQUWELEKQVIUKUSP3DYP2EUH","json":"https://pith.science/pith/VMOQUWELEKQVIUKUSP3DYP2EUH.json","graph_json":"https://pith.science/api/pith-number/VMOQUWELEKQVIUKUSP3DYP2EUH/graph.json","events_json":"https://pith.science/api/pith-number/VMOQUWELEKQVIUKUSP3DYP2EUH/events.json","paper":"https://pith.science/paper/VMOQUWEL"},"agent_actions":{"view_html":"https://pith.science/pith/VMOQUWELEKQVIUKUSP3DYP2EUH","download_json":"https://pith.science/pith/VMOQUWELEKQVIUKUSP3DYP2EUH.json","view_paper":"https://pith.science/paper/VMOQUWEL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1401.0160&json=true","fetch_graph":"https://pith.science/api/pith-number/VMOQUWELEKQVIUKUSP3DYP2EUH/graph.json","fetch_events":"https://pith.science/api/pith-number/VMOQUWELEKQVIUKUSP3DYP2EUH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VMOQUWELEKQVIUKUSP3DYP2EUH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VMOQUWELEKQVIUKUSP3DYP2EUH/action/storage_attestation","attest_author":"https://pith.science/pith/VMOQUWELEKQVIUKUSP3DYP2EUH/action/author_attestation","sign_citation":"https://pith.science/pith/VMOQUWELEKQVIUKUSP3DYP2EUH/action/citation_signature","submit_replication":"https://pith.science/pith/VMOQUWELEKQVIUKUSP3DYP2EUH/action/replication_record"}},"created_at":"2026-05-18T01:45:34.853527+00:00","updated_at":"2026-05-18T01:45:34.853527+00:00"}