{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:SLIAWKFS5OU2CEGEKTLX7GHJ6W","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":"07bf95cbba83909e3254f1a68bb4604647e837e37862acfa679c2e80874a8aa8","cross_cats_sorted":["math-ph","math.MP","physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-11-02T21:09:15Z","title_canon_sha256":"48913294d0c4bf8337daa178325e51d0e387e014361c5bee96e9f7b9835dea71"},"schema_version":"1.0","source":{"id":"1311.0411","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.0411","created_at":"2026-05-18T03:08:06Z"},{"alias_kind":"arxiv_version","alias_value":"1311.0411v1","created_at":"2026-05-18T03:08:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.0411","created_at":"2026-05-18T03:08:06Z"},{"alias_kind":"pith_short_12","alias_value":"SLIAWKFS5OU2","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"SLIAWKFS5OU2CEGE","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"SLIAWKFS","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:d9e67ed51b4391bd2b43115ac0aa4c914f7f508b1b195c30bb4ac563c99a4db8","target":"graph","created_at":"2026-05-18T03:08:06Z","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":"We use the context of dryland vegetation to study a general problem of complex pattern forming systems - multiple pattern-forming instabilities that are driven by distinct mechanisms but share the same spectral properties. We find that the co-occurrence of such instabilities results in the growth of a single mode rather than two interacting modes. The interplay between the two mechanisms, which promote or counteract each other, compensates for the simpler dynamics of a single mode by inducing higher pattern diversity. Possible implications to biodiversity of ecosystems are discussed.","authors_text":"Ehud Meron, Golan Bel, Shai Kinast, Yuval R. Zelnik","cross_cats":["math-ph","math.MP","physics.bio-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-11-02T21:09:15Z","title":"A pattern-forming instability co-driven by distinct mechanisms increases pattern diversity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.0411","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":"sha256:834d21da52472c8fd9a7c6cbad1e12cca4f90e95879f30e242b311dd4ce2b3af","target":"record","created_at":"2026-05-18T03:08:06Z","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":"07bf95cbba83909e3254f1a68bb4604647e837e37862acfa679c2e80874a8aa8","cross_cats_sorted":["math-ph","math.MP","physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-11-02T21:09:15Z","title_canon_sha256":"48913294d0c4bf8337daa178325e51d0e387e014361c5bee96e9f7b9835dea71"},"schema_version":"1.0","source":{"id":"1311.0411","kind":"arxiv","version":1}},"canonical_sha256":"92d00b28b2eba9a110c454d77f98e9f59dcc957133e54b8724838b9dfa6a5534","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"92d00b28b2eba9a110c454d77f98e9f59dcc957133e54b8724838b9dfa6a5534","first_computed_at":"2026-05-18T03:08:06.024082Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:08:06.024082Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DNDKug+PfAfwaF0vQEmJ37eQdaS7vWrfv4bGJ1ULwxWgZjGvoJBH9g2ZJX5hWC5MtwwtTwAHGTrNnZdhX+v8Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:08:06.024755Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.0411","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:834d21da52472c8fd9a7c6cbad1e12cca4f90e95879f30e242b311dd4ce2b3af","sha256:d9e67ed51b4391bd2b43115ac0aa4c914f7f508b1b195c30bb4ac563c99a4db8"],"state_sha256":"df9f4b575b0bcca10ce83903a9af1e771914a94920e5b25a8c78e1e95d5ab908"}