{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:VMOQUWELEKQVIUKUSP3DYP2EUH","short_pith_number":"pith:VMOQUWEL","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"},"canonical_sha256":"ab1d0a588b22a154515493f63c3f44a1ce6d1b7a3936255ff1da254315df0559","source":{"kind":"arxiv","id":"1401.0160","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.0160","created_at":"2026-05-18T01:45:34Z"},{"alias_kind":"arxiv_version","alias_value":"1401.0160v1","created_at":"2026-05-18T01:45:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.0160","created_at":"2026-05-18T01:45:34Z"},{"alias_kind":"pith_short_12","alias_value":"VMOQUWELEKQV","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"VMOQUWELEKQVIUKU","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"VMOQUWEL","created_at":"2026-05-18T12:28:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:VMOQUWELEKQVIUKUSP3DYP2EUH","target":"record","payload":{"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"},"canonical_sha256":"ab1d0a588b22a154515493f63c3f44a1ce6d1b7a3936255ff1da254315df0559","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"},"source_kind":"arxiv","source_id":"1401.0160","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:45:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/NjsMI5N1gGeNXW9gNbti53eFaBXXZWOXoyuKxwmlETRhyGimBx4A7QFRS9AGNPrU91EAb+JN90wo1CJHaJUBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T02:02:03.533265Z"},"content_sha256":"ee29bbf466d567a84111700e8ca5c33627f15bb60d109c0ce9af7f8a3828ab6c","schema_version":"1.0","event_id":"sha256:ee29bbf466d567a84111700e8ca5c33627f15bb60d109c0ce9af7f8a3828ab6c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:VMOQUWELEKQVIUKUSP3DYP2EUH","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:45:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5DNvzj2G6iIabsA6r/O0IkEXaYOuFr0R4mHVv71jkWKuVP1mAbI0kGV0tt3OGG2k/3phZD9d9ICP0GsYuUn0Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T02:02:03.533966Z"},"content_sha256":"ab95a769c5411119e89b15c94f1a97b6b3ea54210e7cac0349331ed91c97c114","schema_version":"1.0","event_id":"sha256:ab95a769c5411119e89b15c94f1a97b6b3ea54210e7cac0349331ed91c97c114"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VMOQUWELEKQVIUKUSP3DYP2EUH/bundle.json","state_url":"https://pith.science/pith/VMOQUWELEKQVIUKUSP3DYP2EUH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VMOQUWELEKQVIUKUSP3DYP2EUH/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-11T02:02:03Z","links":{"resolver":"https://pith.science/pith/VMOQUWELEKQVIUKUSP3DYP2EUH","bundle":"https://pith.science/pith/VMOQUWELEKQVIUKUSP3DYP2EUH/bundle.json","state":"https://pith.science/pith/VMOQUWELEKQVIUKUSP3DYP2EUH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VMOQUWELEKQVIUKUSP3DYP2EUH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:VMOQUWELEKQVIUKUSP3DYP2EUH","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":"4f96cf714e76aa6010ae90d9f8ef658852e5f18f0a1b6e219fa8531649a14613","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2013-12-31T15:31:44Z","title_canon_sha256":"64821a4fdd53dc0102951b5a8c3396536a6b8f527fe81c01bb1d4ecd507658f8"},"schema_version":"1.0","source":{"id":"1401.0160","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.0160","created_at":"2026-05-18T01:45:34Z"},{"alias_kind":"arxiv_version","alias_value":"1401.0160v1","created_at":"2026-05-18T01:45:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.0160","created_at":"2026-05-18T01:45:34Z"},{"alias_kind":"pith_short_12","alias_value":"VMOQUWELEKQV","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"VMOQUWELEKQVIUKU","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"VMOQUWEL","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:ab95a769c5411119e89b15c94f1a97b6b3ea54210e7cac0349331ed91c97c114","target":"graph","created_at":"2026-05-18T01:45:34Z","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 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","authors_text":"Haim Weissmann, Nadav M. Shnerb","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2013-12-31T15:31:44Z","title":"Stochastic Desertification"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.0160","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:ee29bbf466d567a84111700e8ca5c33627f15bb60d109c0ce9af7f8a3828ab6c","target":"record","created_at":"2026-05-18T01:45:34Z","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":"4f96cf714e76aa6010ae90d9f8ef658852e5f18f0a1b6e219fa8531649a14613","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2013-12-31T15:31:44Z","title_canon_sha256":"64821a4fdd53dc0102951b5a8c3396536a6b8f527fe81c01bb1d4ecd507658f8"},"schema_version":"1.0","source":{"id":"1401.0160","kind":"arxiv","version":1}},"canonical_sha256":"ab1d0a588b22a154515493f63c3f44a1ce6d1b7a3936255ff1da254315df0559","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ab1d0a588b22a154515493f63c3f44a1ce6d1b7a3936255ff1da254315df0559","first_computed_at":"2026-05-18T01:45:34.853457Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:45:34.853457Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ru3qnxGCCkz7plUYx5gQtC/IwnUsIqBT5dkolP8jVNaNgGc4TQZnEvT/GvRFIHECvJbbCIKTWn7t5Xk+8oinDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:45:34.853912Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.0160","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee29bbf466d567a84111700e8ca5c33627f15bb60d109c0ce9af7f8a3828ab6c","sha256:ab95a769c5411119e89b15c94f1a97b6b3ea54210e7cac0349331ed91c97c114"],"state_sha256":"ffb967dc79431136fbb91c03c929a1ee5d0f2bd4e2f36b4f9ae59acd8b578559"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"se8UgegOKob+DPLNthd1AZwgQrird7p3PC38NooyE8Y1sXHlMfjBsUYyJTJUAXMwAPpbfibPddXj4aSaGDvrDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T02:02:03.537526Z","bundle_sha256":"bdd93947dc9b012afeb1c95b06e95e79263c5f3c5db8ea3aca8acde37694209a"}}