{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:3IWZ54TUKZWCKKDZKP4KGJQEUJ","short_pith_number":"pith:3IWZ54TU","canonical_record":{"source":{"id":"1204.3398","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2012-04-16T08:27:03Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"fc87d5f8cd41df44437989b23b1161082e083d2e915ea793140e73d43b915220","abstract_canon_sha256":"98b181bad2d78f4a19c665671cd9f9a4516fe5481f659ce403677193e3c68ae8"},"schema_version":"1.0"},"canonical_sha256":"da2d9ef274566c25287953f8a32604a26ed1d9b60667de7f7bd50ac9140829e6","source":{"kind":"arxiv","id":"1204.3398","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.3398","created_at":"2026-05-18T03:46:05Z"},{"alias_kind":"arxiv_version","alias_value":"1204.3398v3","created_at":"2026-05-18T03:46:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.3398","created_at":"2026-05-18T03:46:05Z"},{"alias_kind":"pith_short_12","alias_value":"3IWZ54TUKZWC","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"3IWZ54TUKZWCKKDZ","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"3IWZ54TU","created_at":"2026-05-18T12:26:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:3IWZ54TUKZWCKKDZKP4KGJQEUJ","target":"record","payload":{"canonical_record":{"source":{"id":"1204.3398","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2012-04-16T08:27:03Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"fc87d5f8cd41df44437989b23b1161082e083d2e915ea793140e73d43b915220","abstract_canon_sha256":"98b181bad2d78f4a19c665671cd9f9a4516fe5481f659ce403677193e3c68ae8"},"schema_version":"1.0"},"canonical_sha256":"da2d9ef274566c25287953f8a32604a26ed1d9b60667de7f7bd50ac9140829e6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:46:05.248792Z","signature_b64":"Hqg6jlRg4ojXcPrNoVFK3WJ/OS4AYrcfElaScLABmFUFj8wJFIZnB0pb+R/HWdZ8ctGnUIGos/rs1HTBMiy9Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"da2d9ef274566c25287953f8a32604a26ed1d9b60667de7f7bd50ac9140829e6","last_reissued_at":"2026-05-18T03:46:05.248129Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:46:05.248129Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1204.3398","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:46:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Yktt+vIx8Djv6N/1Crcf09KuIm4PGMBWEInrLZbzOg1iwoZjAxhuUZPshKAek/5Rk//HQJy31ZDiltCO1GCGBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T20:57:37.432250Z"},"content_sha256":"e8014825dea3981b5303692cb1b401937e6516aefd62a9583413041d34c88a00","schema_version":"1.0","event_id":"sha256:e8014825dea3981b5303692cb1b401937e6516aefd62a9583413041d34c88a00"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:3IWZ54TUKZWCKKDZKP4KGJQEUJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Emergence of diversity in a model ecosystem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"q-bio.PE","authors_text":"Joachim Mathiesen, Kim Sneppen, Namiko Mitarai","submitted_at":"2012-04-16T08:27:03Z","abstract_excerpt":"The biological requirements for an ecosystem to develop and maintain species diversity are in general unknown. Here we consider a model ecosystem of sessile and mutually excluding organisms competing for space [Mathiesen et al. Phys. Rev. Lett. 107, 188101 (2011)]. The competition is controlled by an interaction network with fixed links chosen by a Bernoulli process. New species are introduced in the system at a predefined rate. In the limit of small introduction rates, the system becomes bistable and can undergo a phase transition from a state of low diversity to high diversity. We suggest th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.3398","kind":"arxiv","version":3},"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":"2026-05-18T03:46:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8dVofjlLgQh9duhDK4LcCCL1RQTCmrTLF0ypsA+JGvXkxt9brwX6L86sbmh25R6A+8ADKRKcCvOFJQuVgwACBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T20:57:37.432928Z"},"content_sha256":"5e3cfe08c738e16157be256a982f64342f2904a1c4e136cc6d5ff0dd3c4a0adb","schema_version":"1.0","event_id":"sha256:5e3cfe08c738e16157be256a982f64342f2904a1c4e136cc6d5ff0dd3c4a0adb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3IWZ54TUKZWCKKDZKP4KGJQEUJ/bundle.json","state_url":"https://pith.science/pith/3IWZ54TUKZWCKKDZKP4KGJQEUJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3IWZ54TUKZWCKKDZKP4KGJQEUJ/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":"2026-06-06T20:57:37Z","links":{"resolver":"https://pith.science/pith/3IWZ54TUKZWCKKDZKP4KGJQEUJ","bundle":"https://pith.science/pith/3IWZ54TUKZWCKKDZKP4KGJQEUJ/bundle.json","state":"https://pith.science/pith/3IWZ54TUKZWCKKDZKP4KGJQEUJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3IWZ54TUKZWCKKDZKP4KGJQEUJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:3IWZ54TUKZWCKKDZKP4KGJQEUJ","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":"98b181bad2d78f4a19c665671cd9f9a4516fe5481f659ce403677193e3c68ae8","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2012-04-16T08:27:03Z","title_canon_sha256":"fc87d5f8cd41df44437989b23b1161082e083d2e915ea793140e73d43b915220"},"schema_version":"1.0","source":{"id":"1204.3398","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.3398","created_at":"2026-05-18T03:46:05Z"},{"alias_kind":"arxiv_version","alias_value":"1204.3398v3","created_at":"2026-05-18T03:46:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.3398","created_at":"2026-05-18T03:46:05Z"},{"alias_kind":"pith_short_12","alias_value":"3IWZ54TUKZWC","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"3IWZ54TUKZWCKKDZ","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"3IWZ54TU","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:5e3cfe08c738e16157be256a982f64342f2904a1c4e136cc6d5ff0dd3c4a0adb","target":"graph","created_at":"2026-05-18T03:46:05Z","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 biological requirements for an ecosystem to develop and maintain species diversity are in general unknown. Here we consider a model ecosystem of sessile and mutually excluding organisms competing for space [Mathiesen et al. Phys. Rev. Lett. 107, 188101 (2011)]. The competition is controlled by an interaction network with fixed links chosen by a Bernoulli process. New species are introduced in the system at a predefined rate. In the limit of small introduction rates, the system becomes bistable and can undergo a phase transition from a state of low diversity to high diversity. We suggest th","authors_text":"Joachim Mathiesen, Kim Sneppen, Namiko Mitarai","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2012-04-16T08:27:03Z","title":"Emergence of diversity in a model ecosystem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.3398","kind":"arxiv","version":3},"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:e8014825dea3981b5303692cb1b401937e6516aefd62a9583413041d34c88a00","target":"record","created_at":"2026-05-18T03:46:05Z","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":"98b181bad2d78f4a19c665671cd9f9a4516fe5481f659ce403677193e3c68ae8","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2012-04-16T08:27:03Z","title_canon_sha256":"fc87d5f8cd41df44437989b23b1161082e083d2e915ea793140e73d43b915220"},"schema_version":"1.0","source":{"id":"1204.3398","kind":"arxiv","version":3}},"canonical_sha256":"da2d9ef274566c25287953f8a32604a26ed1d9b60667de7f7bd50ac9140829e6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"da2d9ef274566c25287953f8a32604a26ed1d9b60667de7f7bd50ac9140829e6","first_computed_at":"2026-05-18T03:46:05.248129Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:46:05.248129Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Hqg6jlRg4ojXcPrNoVFK3WJ/OS4AYrcfElaScLABmFUFj8wJFIZnB0pb+R/HWdZ8ctGnUIGos/rs1HTBMiy9Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:46:05.248792Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.3398","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e8014825dea3981b5303692cb1b401937e6516aefd62a9583413041d34c88a00","sha256:5e3cfe08c738e16157be256a982f64342f2904a1c4e136cc6d5ff0dd3c4a0adb"],"state_sha256":"697f89bb6fc4cfd2dad51d48493a76a08295103006a1e4891024ec5427251420"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VR/vy9I0o8DPqWYqvdtljL/kKbMCvWKf32F+Z+tyq/86DHzX7HzRbVy8xi0sT8qG9O6rxNHS0zIb5g1jhfg9CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T20:57:37.436279Z","bundle_sha256":"421df4e700b9f34f6a56eb08bec68165abc233673a4a9c50c9a1f1e0a2894742"}}