{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:ZFX25FFW7GAP3T3RD6WUU4YOGR","short_pith_number":"pith:ZFX25FFW","canonical_record":{"source":{"id":"0911.1960","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2009-11-10T18:22:29Z","cross_cats_sorted":[],"title_canon_sha256":"c7eb393247f5a9565dd9419496864bf7bc536cb29926da27fb077ba9a200ff4b","abstract_canon_sha256":"8e6411eda3f5c3ab64fccd355caebb79f016390c04d98423b0faf67703beecb9"},"schema_version":"1.0"},"canonical_sha256":"c96fae94b6f980fdcf711fad4a730e34630cd2e985ba041a926024e276813440","source":{"kind":"arxiv","id":"0911.1960","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.1960","created_at":"2026-05-18T01:19:51Z"},{"alias_kind":"arxiv_version","alias_value":"0911.1960v1","created_at":"2026-05-18T01:19:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.1960","created_at":"2026-05-18T01:19:51Z"},{"alias_kind":"pith_short_12","alias_value":"ZFX25FFW7GAP","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"ZFX25FFW7GAP3T3R","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"ZFX25FFW","created_at":"2026-05-18T12:26:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:ZFX25FFW7GAP3T3RD6WUU4YOGR","target":"record","payload":{"canonical_record":{"source":{"id":"0911.1960","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2009-11-10T18:22:29Z","cross_cats_sorted":[],"title_canon_sha256":"c7eb393247f5a9565dd9419496864bf7bc536cb29926da27fb077ba9a200ff4b","abstract_canon_sha256":"8e6411eda3f5c3ab64fccd355caebb79f016390c04d98423b0faf67703beecb9"},"schema_version":"1.0"},"canonical_sha256":"c96fae94b6f980fdcf711fad4a730e34630cd2e985ba041a926024e276813440","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:51.151821Z","signature_b64":"CD245PNDP56rUf/TQEoC74PRbPi3QRAshNqg1FggBsIoNMhfgCB5gktQdQX+1ylArrszKyN6a/bubggUDFpcBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c96fae94b6f980fdcf711fad4a730e34630cd2e985ba041a926024e276813440","last_reissued_at":"2026-05-18T01:19:51.151210Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:51.151210Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0911.1960","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":"2026-05-18T01:19:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CCuvRP0LMi6Y/EtaIDVvrA+lskcc14/VORHjSogwrEavlCi8zybaRfIj8+lJVrYxiOyYqo0eeZ3ZL5vQFcrgBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T23:15:12.973747Z"},"content_sha256":"bf6ab7ec0899d6edf26b5a26e8d2408a5a7eecb0900bd5ab84c8fef6460dac2d","schema_version":"1.0","event_id":"sha256:bf6ab7ec0899d6edf26b5a26e8d2408a5a7eecb0900bd5ab84c8fef6460dac2d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:ZFX25FFW7GAP3T3RD6WUU4YOGR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Pattern formation in a predator-prey system characterized by a spatial scale of interaction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-bio.PE","authors_text":"E. Brigatti, J. Benavides, M. N\\'u\\~nez-L\\'opez, M. Oliva, R. Oliveros-Ramos","submitted_at":"2009-11-10T18:22:29Z","abstract_excerpt":"We describe pattern formation in ecological systems using a version of the classical Lotka-Volterra model characterized by a spatial scale which controls the predator-prey interaction range. Analytical and simulational results show that patterns can emerge in some regions of the parameters space where the instability is driven by the range of the interaction. The individual-based implementation captures realistic ecological features. In fact, spatial structures emerge in an erratic oscillatory regime which can contemplate predators' extinction."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.1960","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":"2026-05-18T01:19:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"88GhJmASkQhw/61CSChuZ0nKKqis/b/rhgBDy8zGRhsh29DEdUxx6RA1qteRsYs1vExZMShlBVQrsKFkvHPKCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T23:15:12.974092Z"},"content_sha256":"35101672015bc6546cc7f12556539c5d18666cec31af44d6924a603c8d788b09","schema_version":"1.0","event_id":"sha256:35101672015bc6546cc7f12556539c5d18666cec31af44d6924a603c8d788b09"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZFX25FFW7GAP3T3RD6WUU4YOGR/bundle.json","state_url":"https://pith.science/pith/ZFX25FFW7GAP3T3RD6WUU4YOGR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZFX25FFW7GAP3T3RD6WUU4YOGR/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":"2026-06-02T23:15:12Z","links":{"resolver":"https://pith.science/pith/ZFX25FFW7GAP3T3RD6WUU4YOGR","bundle":"https://pith.science/pith/ZFX25FFW7GAP3T3RD6WUU4YOGR/bundle.json","state":"https://pith.science/pith/ZFX25FFW7GAP3T3RD6WUU4YOGR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZFX25FFW7GAP3T3RD6WUU4YOGR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:ZFX25FFW7GAP3T3RD6WUU4YOGR","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":"8e6411eda3f5c3ab64fccd355caebb79f016390c04d98423b0faf67703beecb9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2009-11-10T18:22:29Z","title_canon_sha256":"c7eb393247f5a9565dd9419496864bf7bc536cb29926da27fb077ba9a200ff4b"},"schema_version":"1.0","source":{"id":"0911.1960","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.1960","created_at":"2026-05-18T01:19:51Z"},{"alias_kind":"arxiv_version","alias_value":"0911.1960v1","created_at":"2026-05-18T01:19:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.1960","created_at":"2026-05-18T01:19:51Z"},{"alias_kind":"pith_short_12","alias_value":"ZFX25FFW7GAP","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"ZFX25FFW7GAP3T3R","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"ZFX25FFW","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:35101672015bc6546cc7f12556539c5d18666cec31af44d6924a603c8d788b09","target":"graph","created_at":"2026-05-18T01:19:51Z","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 describe pattern formation in ecological systems using a version of the classical Lotka-Volterra model characterized by a spatial scale which controls the predator-prey interaction range. Analytical and simulational results show that patterns can emerge in some regions of the parameters space where the instability is driven by the range of the interaction. The individual-based implementation captures realistic ecological features. In fact, spatial structures emerge in an erratic oscillatory regime which can contemplate predators' extinction.","authors_text":"E. Brigatti, J. Benavides, M. N\\'u\\~nez-L\\'opez, M. Oliva, R. Oliveros-Ramos","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2009-11-10T18:22:29Z","title":"Pattern formation in a predator-prey system characterized by a spatial scale of interaction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.1960","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:bf6ab7ec0899d6edf26b5a26e8d2408a5a7eecb0900bd5ab84c8fef6460dac2d","target":"record","created_at":"2026-05-18T01:19:51Z","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":"8e6411eda3f5c3ab64fccd355caebb79f016390c04d98423b0faf67703beecb9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2009-11-10T18:22:29Z","title_canon_sha256":"c7eb393247f5a9565dd9419496864bf7bc536cb29926da27fb077ba9a200ff4b"},"schema_version":"1.0","source":{"id":"0911.1960","kind":"arxiv","version":1}},"canonical_sha256":"c96fae94b6f980fdcf711fad4a730e34630cd2e985ba041a926024e276813440","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c96fae94b6f980fdcf711fad4a730e34630cd2e985ba041a926024e276813440","first_computed_at":"2026-05-18T01:19:51.151210Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:51.151210Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CD245PNDP56rUf/TQEoC74PRbPi3QRAshNqg1FggBsIoNMhfgCB5gktQdQX+1ylArrszKyN6a/bubggUDFpcBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:51.151821Z","signed_message":"canonical_sha256_bytes"},"source_id":"0911.1960","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bf6ab7ec0899d6edf26b5a26e8d2408a5a7eecb0900bd5ab84c8fef6460dac2d","sha256:35101672015bc6546cc7f12556539c5d18666cec31af44d6924a603c8d788b09"],"state_sha256":"7520f3163a8643ca0aee15648d6e948c45b7eb415dc7f73d7f1fbb47c23962b4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JTFR4llz96UK7ZEU70ScUzUqPi0Wtx1kzad2GDHUJSrk9aXPcMbD9LL7YcqebdaZ6TNlPMVbJbpr9ijOrDHOAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T23:15:12.976341Z","bundle_sha256":"4148bda627db4c2851b58319f8a95f82cbc89d7c9abf3d57e730b7fc7c2dd476"}}