{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:OCNDAP4SU5B6HYFCM4BX7WHCJ3","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":"2f7bb47b35f5f0995c5c1556dfff761e97c35f5338a8816bd4c6781f5cf6b239","cross_cats_sorted":["cond-mat.stat-mech","q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2013-05-25T21:36:03Z","title_canon_sha256":"88b8891279913ecbbdfd67b2bab43f5181973c1dce8363e7c7f3f76a559304f6"},"schema_version":"1.0","source":{"id":"1305.5972","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.5972","created_at":"2026-05-18T03:08:59Z"},{"alias_kind":"arxiv_version","alias_value":"1305.5972v1","created_at":"2026-05-18T03:08:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.5972","created_at":"2026-05-18T03:08:59Z"},{"alias_kind":"pith_short_12","alias_value":"OCNDAP4SU5B6","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"OCNDAP4SU5B6HYFC","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"OCNDAP4S","created_at":"2026-05-18T12:27:54Z"}],"graph_snapshots":[{"event_id":"sha256:f271340d9e2e6f68392a2487cffe7e9fd1df07dad78528394f1b27f7ddb0256f","target":"graph","created_at":"2026-05-18T03:08:59Z","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 competition between two ecologically similar species that use the same resources and differ from each other only in the type of spatial motion they undergo is studied. The latter is assumed to be described either by Brownian motion or L\\'evy flights. Competition is taken into account by assuming that individuals reproduce in a density-dependent fashion. It is observed that no influence of the type of motion occurs when the two species are in a well-mixed unstructured state. However, as soon as the species develop spatial clustering, the one forming more concentrated clusters gets a competi","authors_text":"Crist\\'obal L\\'opez, Els Heinsalu, Emilio Hern\\'andez-Garcia","cross_cats":["cond-mat.stat-mech","q-bio.PE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2013-05-25T21:36:03Z","title":"Clustering determines the survivor for competing Brownian and L\\'evy walkers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.5972","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:e64e84bc672b3e19f0009fbd3edc3f25bd46c605797db883ec4f1061c0d772bf","target":"record","created_at":"2026-05-18T03:08:59Z","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":"2f7bb47b35f5f0995c5c1556dfff761e97c35f5338a8816bd4c6781f5cf6b239","cross_cats_sorted":["cond-mat.stat-mech","q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2013-05-25T21:36:03Z","title_canon_sha256":"88b8891279913ecbbdfd67b2bab43f5181973c1dce8363e7c7f3f76a559304f6"},"schema_version":"1.0","source":{"id":"1305.5972","kind":"arxiv","version":1}},"canonical_sha256":"709a303f92a743e3e0a267037fd8e24ed6cc8743aea3a5b7b1e617015ce9bb79","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"709a303f92a743e3e0a267037fd8e24ed6cc8743aea3a5b7b1e617015ce9bb79","first_computed_at":"2026-05-18T03:08:59.026157Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:08:59.026157Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xoyeM/AgRIKZBy8uGSRTva1bFGvBuVijY19cOQvjYoh4b5b33zrQu2O8ChFa8iqGTBc++xZQfNxl3N0h1S+nBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:08:59.026857Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.5972","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e64e84bc672b3e19f0009fbd3edc3f25bd46c605797db883ec4f1061c0d772bf","sha256:f271340d9e2e6f68392a2487cffe7e9fd1df07dad78528394f1b27f7ddb0256f"],"state_sha256":"68cd25de81f85c751e53f1f701fcfd1daec26504d34e2cbce570fd1ab8e23735"}