{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:OTEZNZ7K3GVKZCZVMUZWWVNV6T","short_pith_number":"pith:OTEZNZ7K","canonical_record":{"source":{"id":"1210.7019","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2012-10-25T23:27:29Z","cross_cats_sorted":["physics.soc-ph","q-bio.PE"],"title_canon_sha256":"b43546c7992d30db16b00e27c69492d6d6a12aa35c734f47d7f93ad0337cd227","abstract_canon_sha256":"a34a53354341d250348d4e49abb26eb7b0064a92dcb8cde76b6c11baba4ee481"},"schema_version":"1.0"},"canonical_sha256":"74c996e7ead9aaac8b3565336b55b5f4eda9f483f5b141fe1ca919723f79d49f","source":{"kind":"arxiv","id":"1210.7019","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.7019","created_at":"2026-05-18T03:20:32Z"},{"alias_kind":"arxiv_version","alias_value":"1210.7019v1","created_at":"2026-05-18T03:20:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.7019","created_at":"2026-05-18T03:20:32Z"},{"alias_kind":"pith_short_12","alias_value":"OTEZNZ7K3GVK","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"OTEZNZ7K3GVKZCZV","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"OTEZNZ7K","created_at":"2026-05-18T12:27:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:OTEZNZ7K3GVKZCZVMUZWWVNV6T","target":"record","payload":{"canonical_record":{"source":{"id":"1210.7019","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2012-10-25T23:27:29Z","cross_cats_sorted":["physics.soc-ph","q-bio.PE"],"title_canon_sha256":"b43546c7992d30db16b00e27c69492d6d6a12aa35c734f47d7f93ad0337cd227","abstract_canon_sha256":"a34a53354341d250348d4e49abb26eb7b0064a92dcb8cde76b6c11baba4ee481"},"schema_version":"1.0"},"canonical_sha256":"74c996e7ead9aaac8b3565336b55b5f4eda9f483f5b141fe1ca919723f79d49f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:20:32.595880Z","signature_b64":"VfTYB21oNInxABSqCgcKHi62dc+tznFWVfs/tHND/o18FoTBBcGEOmSIpLNK15c+2G20YVSEh6KeOwsoRL8uDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"74c996e7ead9aaac8b3565336b55b5f4eda9f483f5b141fe1ca919723f79d49f","last_reissued_at":"2026-05-18T03:20:32.595017Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:20:32.595017Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1210.7019","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":"2026-05-18T03:20:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"abXl9eA3dHcGoAlrqr48BTjTHTac3CLzm9gSzfCz88SV631IfC+2aawmAhIuC9RHLQg2ZqkXsB1+vAeVTs+xDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T17:30:22.637159Z"},"content_sha256":"5274c13083746ed544f3d2d3a31281954674f9774411a2ac7bfb0cf865edebfb","schema_version":"1.0","event_id":"sha256:5274c13083746ed544f3d2d3a31281954674f9774411a2ac7bfb0cf865edebfb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:OTEZNZ7K3GVKZCZVMUZWWVNV6T","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Labyrinthine clustering in a spatial rock-paper-scissors ecosystem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.soc-ph","q-bio.PE"],"primary_cat":"physics.bio-ph","authors_text":"Jeppe Juul, Joachim Mathiesen, Kim Sneppen","submitted_at":"2012-10-25T23:27:29Z","abstract_excerpt":"The spatial rock-paper-scissors ecosystem, where three species interact cyclically, is a model example of how spatial structure can maintain biodiversity. We here consider such a system for a broad range of interaction rates. When one species grows very slowly, this species and its prey dominate the system by self-organizing into a labyrinthine configuration in which the third species propagates. The cluster size distributions of the two dominating species have heavy tails and the configuration is stabilized through a complex, spatial feedback loop. We introduce a new statistical measure that "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.7019","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":"2026-05-18T03:20:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jq+29OsY/g1MyoZsq+0UHQ5gxR+ytDsVSD9Kdsc2V1ZDZxwAxx/EIR0j3TKlnt4HhTGh5V7hpgObRuRhr/DECw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T17:30:22.638102Z"},"content_sha256":"72a627294e1b98ab10a3e00c253c63a0cc2153c961448f4200889fd67e998eaf","schema_version":"1.0","event_id":"sha256:72a627294e1b98ab10a3e00c253c63a0cc2153c961448f4200889fd67e998eaf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OTEZNZ7K3GVKZCZVMUZWWVNV6T/bundle.json","state_url":"https://pith.science/pith/OTEZNZ7K3GVKZCZVMUZWWVNV6T/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OTEZNZ7K3GVKZCZVMUZWWVNV6T/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":"2026-06-08T17:30:22Z","links":{"resolver":"https://pith.science/pith/OTEZNZ7K3GVKZCZVMUZWWVNV6T","bundle":"https://pith.science/pith/OTEZNZ7K3GVKZCZVMUZWWVNV6T/bundle.json","state":"https://pith.science/pith/OTEZNZ7K3GVKZCZVMUZWWVNV6T/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OTEZNZ7K3GVKZCZVMUZWWVNV6T/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:OTEZNZ7K3GVKZCZVMUZWWVNV6T","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":"a34a53354341d250348d4e49abb26eb7b0064a92dcb8cde76b6c11baba4ee481","cross_cats_sorted":["physics.soc-ph","q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2012-10-25T23:27:29Z","title_canon_sha256":"b43546c7992d30db16b00e27c69492d6d6a12aa35c734f47d7f93ad0337cd227"},"schema_version":"1.0","source":{"id":"1210.7019","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.7019","created_at":"2026-05-18T03:20:32Z"},{"alias_kind":"arxiv_version","alias_value":"1210.7019v1","created_at":"2026-05-18T03:20:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.7019","created_at":"2026-05-18T03:20:32Z"},{"alias_kind":"pith_short_12","alias_value":"OTEZNZ7K3GVK","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"OTEZNZ7K3GVKZCZV","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"OTEZNZ7K","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:72a627294e1b98ab10a3e00c253c63a0cc2153c961448f4200889fd67e998eaf","target":"graph","created_at":"2026-05-18T03:20:32Z","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 spatial rock-paper-scissors ecosystem, where three species interact cyclically, is a model example of how spatial structure can maintain biodiversity. We here consider such a system for a broad range of interaction rates. When one species grows very slowly, this species and its prey dominate the system by self-organizing into a labyrinthine configuration in which the third species propagates. The cluster size distributions of the two dominating species have heavy tails and the configuration is stabilized through a complex, spatial feedback loop. We introduce a new statistical measure that ","authors_text":"Jeppe Juul, Joachim Mathiesen, Kim Sneppen","cross_cats":["physics.soc-ph","q-bio.PE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2012-10-25T23:27:29Z","title":"Labyrinthine clustering in a spatial rock-paper-scissors ecosystem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.7019","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":"sha256:5274c13083746ed544f3d2d3a31281954674f9774411a2ac7bfb0cf865edebfb","target":"record","created_at":"2026-05-18T03:20:32Z","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":"a34a53354341d250348d4e49abb26eb7b0064a92dcb8cde76b6c11baba4ee481","cross_cats_sorted":["physics.soc-ph","q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2012-10-25T23:27:29Z","title_canon_sha256":"b43546c7992d30db16b00e27c69492d6d6a12aa35c734f47d7f93ad0337cd227"},"schema_version":"1.0","source":{"id":"1210.7019","kind":"arxiv","version":1}},"canonical_sha256":"74c996e7ead9aaac8b3565336b55b5f4eda9f483f5b141fe1ca919723f79d49f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"74c996e7ead9aaac8b3565336b55b5f4eda9f483f5b141fe1ca919723f79d49f","first_computed_at":"2026-05-18T03:20:32.595017Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:20:32.595017Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VfTYB21oNInxABSqCgcKHi62dc+tznFWVfs/tHND/o18FoTBBcGEOmSIpLNK15c+2G20YVSEh6KeOwsoRL8uDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:20:32.595880Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.7019","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5274c13083746ed544f3d2d3a31281954674f9774411a2ac7bfb0cf865edebfb","sha256:72a627294e1b98ab10a3e00c253c63a0cc2153c961448f4200889fd67e998eaf"],"state_sha256":"8ae6f9d75a069bba2999b2dec3d07bd59e6a720bd7e06f854273a4763e086cd7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i1pofVK8RLwJqnlYPxrPs7dtXOZ4kftjPVOYW8GMj7ETk0S3D1C17KwFI43b25cJo0dY6GRYwZHZQA40L/JUCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T17:30:22.642104Z","bundle_sha256":"d964908599dd17d74d2386e7489c284de269b1deecbc57089f0e8f8f605243ec"}}