{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:RTPTK2JZXLFCYOZCDW7DGYNZYW","short_pith_number":"pith:RTPTK2JZ","canonical_record":{"source":{"id":"1206.6590","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2012-06-28T08:29:27Z","cross_cats_sorted":["physics.bio-ph"],"title_canon_sha256":"0b63fc448d04309f940be4f484e79228cdcad38ce436115c9ed953cb26642571","abstract_canon_sha256":"11cf5832eada13e8155c420fe05627ceb84fad0c2b475ed36857927e1c963862"},"schema_version":"1.0"},"canonical_sha256":"8cdf356939baca2c3b221dbe3361b9c5a490a69e87ae3badb99b642af75e989b","source":{"kind":"arxiv","id":"1206.6590","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.6590","created_at":"2026-05-18T01:56:41Z"},{"alias_kind":"arxiv_version","alias_value":"1206.6590v1","created_at":"2026-05-18T01:56:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.6590","created_at":"2026-05-18T01:56:41Z"},{"alias_kind":"pith_short_12","alias_value":"RTPTK2JZXLFC","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"RTPTK2JZXLFCYOZC","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"RTPTK2JZ","created_at":"2026-05-18T12:27:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:RTPTK2JZXLFCYOZCDW7DGYNZYW","target":"record","payload":{"canonical_record":{"source":{"id":"1206.6590","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2012-06-28T08:29:27Z","cross_cats_sorted":["physics.bio-ph"],"title_canon_sha256":"0b63fc448d04309f940be4f484e79228cdcad38ce436115c9ed953cb26642571","abstract_canon_sha256":"11cf5832eada13e8155c420fe05627ceb84fad0c2b475ed36857927e1c963862"},"schema_version":"1.0"},"canonical_sha256":"8cdf356939baca2c3b221dbe3361b9c5a490a69e87ae3badb99b642af75e989b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:56:41.004239Z","signature_b64":"MYFePh/9p7CZ90WwX48E7VTh/aFEb42muq6EY6kUGXm7hFrx+Pf/tVcqmQM/6pPqevp3Q+wBW+FRgNV+ZW4KAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8cdf356939baca2c3b221dbe3361b9c5a490a69e87ae3badb99b642af75e989b","last_reissued_at":"2026-05-18T01:56:41.003733Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:56:41.003733Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1206.6590","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":"2026-05-18T01:56:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r9l2jZP4JeRzSkDRHRq7kWPaMewwLNBvM5IwC5uwY3NwhdKIDNt37RNFf2V4AbR0aMIdfO6iM5fn2lsdW3CUBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T16:10:21.638256Z"},"content_sha256":"502863ad4d43f5acbbcf4c9cf4af885173be64c1f81ced663c1839e2f7776d85","schema_version":"1.0","event_id":"sha256:502863ad4d43f5acbbcf4c9cf4af885173be64c1f81ced663c1839e2f7776d85"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:RTPTK2JZXLFCYOZCDW7DGYNZYW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An exactly solvable coarse-grained model for species diversity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.bio-ph"],"primary_cat":"q-bio.PE","authors_text":"Amos Maritan, Andrea Rinaldo, Samir Suweis","submitted_at":"2012-06-28T08:29:27Z","abstract_excerpt":"We present novel analytical results about ecosystem species diversity that stem from a proposed coarse grained neutral model based on birth-death processes. The relevance of the problem lies in the urgency for understanding and synthesizing both theoretical results of ecological neutral theory and empirical evidence on species diversity preservation. Neutral model of biodiversity deals with ecosystems in the same trophic level where per-capita vital rates are assumed to be species-independent. Close-form analytical solutions for neutral theory are obtained within a coarse-grained model, where "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.6590","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":"2026-05-18T01:56:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lZCOK9CTqNFqfPy8ZEg8Ruazq1DUqCIg04M1p9FGRqbSWcwkjTykhvEg1be1CMMYT9lc8O14f3rT8KD5w6JnBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T16:10:21.638636Z"},"content_sha256":"3bd7fd7c36f9596de7acbf13b8a399c1769a9f945888402971a07c32ef58eaf7","schema_version":"1.0","event_id":"sha256:3bd7fd7c36f9596de7acbf13b8a399c1769a9f945888402971a07c32ef58eaf7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RTPTK2JZXLFCYOZCDW7DGYNZYW/bundle.json","state_url":"https://pith.science/pith/RTPTK2JZXLFCYOZCDW7DGYNZYW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RTPTK2JZXLFCYOZCDW7DGYNZYW/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":"2026-05-27T16:10:21Z","links":{"resolver":"https://pith.science/pith/RTPTK2JZXLFCYOZCDW7DGYNZYW","bundle":"https://pith.science/pith/RTPTK2JZXLFCYOZCDW7DGYNZYW/bundle.json","state":"https://pith.science/pith/RTPTK2JZXLFCYOZCDW7DGYNZYW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RTPTK2JZXLFCYOZCDW7DGYNZYW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:RTPTK2JZXLFCYOZCDW7DGYNZYW","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":"11cf5832eada13e8155c420fe05627ceb84fad0c2b475ed36857927e1c963862","cross_cats_sorted":["physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2012-06-28T08:29:27Z","title_canon_sha256":"0b63fc448d04309f940be4f484e79228cdcad38ce436115c9ed953cb26642571"},"schema_version":"1.0","source":{"id":"1206.6590","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.6590","created_at":"2026-05-18T01:56:41Z"},{"alias_kind":"arxiv_version","alias_value":"1206.6590v1","created_at":"2026-05-18T01:56:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.6590","created_at":"2026-05-18T01:56:41Z"},{"alias_kind":"pith_short_12","alias_value":"RTPTK2JZXLFC","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"RTPTK2JZXLFCYOZC","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"RTPTK2JZ","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:3bd7fd7c36f9596de7acbf13b8a399c1769a9f945888402971a07c32ef58eaf7","target":"graph","created_at":"2026-05-18T01:56:41Z","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 present novel analytical results about ecosystem species diversity that stem from a proposed coarse grained neutral model based on birth-death processes. The relevance of the problem lies in the urgency for understanding and synthesizing both theoretical results of ecological neutral theory and empirical evidence on species diversity preservation. Neutral model of biodiversity deals with ecosystems in the same trophic level where per-capita vital rates are assumed to be species-independent. Close-form analytical solutions for neutral theory are obtained within a coarse-grained model, where ","authors_text":"Amos Maritan, Andrea Rinaldo, Samir Suweis","cross_cats":["physics.bio-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2012-06-28T08:29:27Z","title":"An exactly solvable coarse-grained model for species diversity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.6590","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":"sha256:502863ad4d43f5acbbcf4c9cf4af885173be64c1f81ced663c1839e2f7776d85","target":"record","created_at":"2026-05-18T01:56:41Z","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":"11cf5832eada13e8155c420fe05627ceb84fad0c2b475ed36857927e1c963862","cross_cats_sorted":["physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2012-06-28T08:29:27Z","title_canon_sha256":"0b63fc448d04309f940be4f484e79228cdcad38ce436115c9ed953cb26642571"},"schema_version":"1.0","source":{"id":"1206.6590","kind":"arxiv","version":1}},"canonical_sha256":"8cdf356939baca2c3b221dbe3361b9c5a490a69e87ae3badb99b642af75e989b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8cdf356939baca2c3b221dbe3361b9c5a490a69e87ae3badb99b642af75e989b","first_computed_at":"2026-05-18T01:56:41.003733Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:56:41.003733Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MYFePh/9p7CZ90WwX48E7VTh/aFEb42muq6EY6kUGXm7hFrx+Pf/tVcqmQM/6pPqevp3Q+wBW+FRgNV+ZW4KAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:56:41.004239Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.6590","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:502863ad4d43f5acbbcf4c9cf4af885173be64c1f81ced663c1839e2f7776d85","sha256:3bd7fd7c36f9596de7acbf13b8a399c1769a9f945888402971a07c32ef58eaf7"],"state_sha256":"9e18dbc5bc54d28c042c75f5a42af455ea462dee6d70c5fd9ad3bdd7e5cb4eda"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"53H9M4n5E26JJKiyuPz2mfpBumZyZ5A6fMsZNa6BGoFSWVHcaJxOwJ9cmf6JwzCmGRZj9MiXD1phUrOtzAJZAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T16:10:21.641103Z","bundle_sha256":"3c38f3f1effe1ca6ffaeba7d5b905d96ec7c40a693b3e9fc068935790f5a32a5"}}