{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:4SGDPNQ4JQMDKS6SWERAG3TFR4","short_pith_number":"pith:4SGDPNQ4","canonical_record":{"source":{"id":"1908.04603","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"q-bio.PE","submitted_at":"2019-08-13T12:23:29Z","cross_cats_sorted":["physics.bio-ph"],"title_canon_sha256":"84084383d2d8bd55fa9f839b968a023641655c0c0c4378a87a479d137e5faf32","abstract_canon_sha256":"24514619a3e5d08f2a9488d23078da64e2f6fdb223c27fe2cd508b11ad6fc6a5"},"schema_version":"1.0"},"canonical_sha256":"e48c37b61c4c18354bd2b122036e658f3acb5493a8db2b9a36611caf1f4daf44","source":{"kind":"arxiv","id":"1908.04603","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.04603","created_at":"2026-07-05T01:15:06Z"},{"alias_kind":"arxiv_version","alias_value":"1908.04603v2","created_at":"2026-07-05T01:15:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.04603","created_at":"2026-07-05T01:15:06Z"},{"alias_kind":"pith_short_12","alias_value":"4SGDPNQ4JQMD","created_at":"2026-07-05T01:15:06Z"},{"alias_kind":"pith_short_16","alias_value":"4SGDPNQ4JQMDKS6S","created_at":"2026-07-05T01:15:06Z"},{"alias_kind":"pith_short_8","alias_value":"4SGDPNQ4","created_at":"2026-07-05T01:15:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:4SGDPNQ4JQMDKS6SWERAG3TFR4","target":"record","payload":{"canonical_record":{"source":{"id":"1908.04603","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"q-bio.PE","submitted_at":"2019-08-13T12:23:29Z","cross_cats_sorted":["physics.bio-ph"],"title_canon_sha256":"84084383d2d8bd55fa9f839b968a023641655c0c0c4378a87a479d137e5faf32","abstract_canon_sha256":"24514619a3e5d08f2a9488d23078da64e2f6fdb223c27fe2cd508b11ad6fc6a5"},"schema_version":"1.0"},"canonical_sha256":"e48c37b61c4c18354bd2b122036e658f3acb5493a8db2b9a36611caf1f4daf44","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:15:06.291385Z","signature_b64":"DFTFJHZ9UO0qeQAUw3KOEfLY5GwqW8sPGbfuafMjnOP+sxwE1mVPPUlIR8Ze4cQa+QxgilgnEdCiyAaBY0M1CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e48c37b61c4c18354bd2b122036e658f3acb5493a8db2b9a36611caf1f4daf44","last_reissued_at":"2026-07-05T01:15:06.290951Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:15:06.290951Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1908.04603","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T01:15:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sDvnp/puuXg80xTXi4zhyyBjDHH1EK4jigPbK7ayVmoDgtt8+snG88IOsq3fqeKReH2sodo5/TNudt8PSb4NDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T12:34:24.127098Z"},"content_sha256":"60b32146b7bdf68aeeed67e9c039e5bfc8a771a99431b3b8d59cf4ba20835e0f","schema_version":"1.0","event_id":"sha256:60b32146b7bdf68aeeed67e9c039e5bfc8a771a99431b3b8d59cf4ba20835e0f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:4SGDPNQ4JQMDKS6SWERAG3TFR4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A general model for vegetation patterns including rhizome growth","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["physics.bio-ph"],"primary_cat":"q-bio.PE","authors_text":"Dami\\`a Gomila, Daniel Ruiz-Reyn\\'es, Emilio Hern\\'andez-Garc\\'ia, Francesca Sch\\\"onsberg","submitted_at":"2019-08-13T12:23:29Z","abstract_excerpt":"Vegetation patterns, a natural phenomenon observed worldwide, are typically driven by spatially distributed feedback. However, the spatial colonization mechanisms of clonal plants, driven by the growth of a rhizome, are usually not considered in prototypical models. Here we propose a general equation for the vegetation density that includes all main clonal-growth features as well as the essential ingredients leading to spatial self-organization. This generic model reproduces the phase diagram of a fully detailed model of clonal growth. The relation of each term of the model with the mechanisms"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.04603","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1908.04603/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T01:15:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WEtjPccV1yKUtZDnuLt/4ueON7F5SY8D5WuF/EI/TUKGgWFwaeXyWdIIGNvNRq4VDb00f9ZFIi7NcdqbVyN6Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T12:34:24.127705Z"},"content_sha256":"fe73ff84cf03ef1fa442f53f004d85a60cd7e2fce1353c617e14d50ecc871ce3","schema_version":"1.0","event_id":"sha256:fe73ff84cf03ef1fa442f53f004d85a60cd7e2fce1353c617e14d50ecc871ce3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4SGDPNQ4JQMDKS6SWERAG3TFR4/bundle.json","state_url":"https://pith.science/pith/4SGDPNQ4JQMDKS6SWERAG3TFR4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4SGDPNQ4JQMDKS6SWERAG3TFR4/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":"2026-08-16T12:34:24Z","links":{"resolver":"https://pith.science/pith/4SGDPNQ4JQMDKS6SWERAG3TFR4","bundle":"https://pith.science/pith/4SGDPNQ4JQMDKS6SWERAG3TFR4/bundle.json","state":"https://pith.science/pith/4SGDPNQ4JQMDKS6SWERAG3TFR4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4SGDPNQ4JQMDKS6SWERAG3TFR4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:4SGDPNQ4JQMDKS6SWERAG3TFR4","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":"24514619a3e5d08f2a9488d23078da64e2f6fdb223c27fe2cd508b11ad6fc6a5","cross_cats_sorted":["physics.bio-ph"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"q-bio.PE","submitted_at":"2019-08-13T12:23:29Z","title_canon_sha256":"84084383d2d8bd55fa9f839b968a023641655c0c0c4378a87a479d137e5faf32"},"schema_version":"1.0","source":{"id":"1908.04603","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.04603","created_at":"2026-07-05T01:15:06Z"},{"alias_kind":"arxiv_version","alias_value":"1908.04603v2","created_at":"2026-07-05T01:15:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.04603","created_at":"2026-07-05T01:15:06Z"},{"alias_kind":"pith_short_12","alias_value":"4SGDPNQ4JQMD","created_at":"2026-07-05T01:15:06Z"},{"alias_kind":"pith_short_16","alias_value":"4SGDPNQ4JQMDKS6S","created_at":"2026-07-05T01:15:06Z"},{"alias_kind":"pith_short_8","alias_value":"4SGDPNQ4","created_at":"2026-07-05T01:15:06Z"}],"graph_snapshots":[{"event_id":"sha256:fe73ff84cf03ef1fa442f53f004d85a60cd7e2fce1353c617e14d50ecc871ce3","target":"graph","created_at":"2026-07-05T01:15:06Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1908.04603/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Vegetation patterns, a natural phenomenon observed worldwide, are typically driven by spatially distributed feedback. However, the spatial colonization mechanisms of clonal plants, driven by the growth of a rhizome, are usually not considered in prototypical models. Here we propose a general equation for the vegetation density that includes all main clonal-growth features as well as the essential ingredients leading to spatial self-organization. This generic model reproduces the phase diagram of a fully detailed model of clonal growth. The relation of each term of the model with the mechanisms","authors_text":"Dami\\`a Gomila, Daniel Ruiz-Reyn\\'es, Emilio Hern\\'andez-Garc\\'ia, Francesca Sch\\\"onsberg","cross_cats":["physics.bio-ph"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"q-bio.PE","submitted_at":"2019-08-13T12:23:29Z","title":"A general model for vegetation patterns including rhizome growth"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.04603","kind":"arxiv","version":2},"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":"sha256:60b32146b7bdf68aeeed67e9c039e5bfc8a771a99431b3b8d59cf4ba20835e0f","target":"record","created_at":"2026-07-05T01:15:06Z","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":"24514619a3e5d08f2a9488d23078da64e2f6fdb223c27fe2cd508b11ad6fc6a5","cross_cats_sorted":["physics.bio-ph"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"q-bio.PE","submitted_at":"2019-08-13T12:23:29Z","title_canon_sha256":"84084383d2d8bd55fa9f839b968a023641655c0c0c4378a87a479d137e5faf32"},"schema_version":"1.0","source":{"id":"1908.04603","kind":"arxiv","version":2}},"canonical_sha256":"e48c37b61c4c18354bd2b122036e658f3acb5493a8db2b9a36611caf1f4daf44","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e48c37b61c4c18354bd2b122036e658f3acb5493a8db2b9a36611caf1f4daf44","first_computed_at":"2026-07-05T01:15:06.290951Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:15:06.290951Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DFTFJHZ9UO0qeQAUw3KOEfLY5GwqW8sPGbfuafMjnOP+sxwE1mVPPUlIR8Ze4cQa+QxgilgnEdCiyAaBY0M1CQ==","signature_status":"signed_v1","signed_at":"2026-07-05T01:15:06.291385Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.04603","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:60b32146b7bdf68aeeed67e9c039e5bfc8a771a99431b3b8d59cf4ba20835e0f","sha256:fe73ff84cf03ef1fa442f53f004d85a60cd7e2fce1353c617e14d50ecc871ce3"],"state_sha256":"c605019b2918ba458720b41f21b3eee88d67750f5831647e33cfda6af49b31cc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SWHqMpYvAjInsHlW2WuMUXC1QECWk2u4zcWgLC5oKHexMx9nDLxw4Uz/lp2FaBObJlQZknvqoLMXsDnOLWlCAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T12:34:24.132889Z","bundle_sha256":"5a294997781b689fa89ef44047c1a1b24d50b188edfe7aea64afac9b096c7215"}}