{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:RAKBQZ43UY73Y4V6H5MJL2PMA5","short_pith_number":"pith:RAKBQZ43","schema_version":"1.0","canonical_sha256":"881418679ba63fbc72be3f5895e9ec075de2eca17bafe234d778819ab69856f8","source":{"kind":"arxiv","id":"1605.07479","version":1},"attestation_state":"computed","paper":{"title":"Communities as cliques","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-bio.PE","authors_text":"David A. Kessler, Nadav M. Shnerb, Yael Fried","submitted_at":"2016-05-24T14:31:31Z","abstract_excerpt":"High-diversity assemblages are very common in nature, and yet the factors allowing for the maintenance of biodiversity remain obscure. The competitive exclusion principle and May's complexity-diversity puzzle both suggest that a community can support only a small number of species, turning the spotlight at the dynamics of local patches or islands, where stable and uninvadable (SU) subsets of species play a crucial role. Here we map the community SUs question to the geometric problem of finding maximal cliques of the corresponding graph. We solve for the number of SUs as a function of the speci"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1605.07479","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2016-05-24T14:31:31Z","cross_cats_sorted":[],"title_canon_sha256":"af5cbb941882f1b9bcfc644f47c01134cf34c7e93638bcbd913c033aa8533fe4","abstract_canon_sha256":"2a3d92157de297828a2cc844e6efaadfe40f80a5320323add08899578f677edc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:13:45.962499Z","signature_b64":"E4GjaCDXPem9N8t0JZYtAb6YUa+CohJpGaex4+t8nogoK1UyTvzwnmQLtHAFTZ2Nlx67Jd0su7Z3PHMsetPHBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"881418679ba63fbc72be3f5895e9ec075de2eca17bafe234d778819ab69856f8","last_reissued_at":"2026-05-18T01:13:45.961880Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:13:45.961880Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Communities as cliques","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-bio.PE","authors_text":"David A. Kessler, Nadav M. Shnerb, Yael Fried","submitted_at":"2016-05-24T14:31:31Z","abstract_excerpt":"High-diversity assemblages are very common in nature, and yet the factors allowing for the maintenance of biodiversity remain obscure. The competitive exclusion principle and May's complexity-diversity puzzle both suggest that a community can support only a small number of species, turning the spotlight at the dynamics of local patches or islands, where stable and uninvadable (SU) subsets of species play a crucial role. Here we map the community SUs question to the geometric problem of finding maximal cliques of the corresponding graph. We solve for the number of SUs as a function of the speci"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.07479","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1605.07479","created_at":"2026-05-18T01:13:45.961953+00:00"},{"alias_kind":"arxiv_version","alias_value":"1605.07479v1","created_at":"2026-05-18T01:13:45.961953+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.07479","created_at":"2026-05-18T01:13:45.961953+00:00"},{"alias_kind":"pith_short_12","alias_value":"RAKBQZ43UY73","created_at":"2026-05-18T12:30:41.710351+00:00"},{"alias_kind":"pith_short_16","alias_value":"RAKBQZ43UY73Y4V6","created_at":"2026-05-18T12:30:41.710351+00:00"},{"alias_kind":"pith_short_8","alias_value":"RAKBQZ43","created_at":"2026-05-18T12:30:41.710351+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RAKBQZ43UY73Y4V6H5MJL2PMA5","json":"https://pith.science/pith/RAKBQZ43UY73Y4V6H5MJL2PMA5.json","graph_json":"https://pith.science/api/pith-number/RAKBQZ43UY73Y4V6H5MJL2PMA5/graph.json","events_json":"https://pith.science/api/pith-number/RAKBQZ43UY73Y4V6H5MJL2PMA5/events.json","paper":"https://pith.science/paper/RAKBQZ43"},"agent_actions":{"view_html":"https://pith.science/pith/RAKBQZ43UY73Y4V6H5MJL2PMA5","download_json":"https://pith.science/pith/RAKBQZ43UY73Y4V6H5MJL2PMA5.json","view_paper":"https://pith.science/paper/RAKBQZ43","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1605.07479&json=true","fetch_graph":"https://pith.science/api/pith-number/RAKBQZ43UY73Y4V6H5MJL2PMA5/graph.json","fetch_events":"https://pith.science/api/pith-number/RAKBQZ43UY73Y4V6H5MJL2PMA5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RAKBQZ43UY73Y4V6H5MJL2PMA5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RAKBQZ43UY73Y4V6H5MJL2PMA5/action/storage_attestation","attest_author":"https://pith.science/pith/RAKBQZ43UY73Y4V6H5MJL2PMA5/action/author_attestation","sign_citation":"https://pith.science/pith/RAKBQZ43UY73Y4V6H5MJL2PMA5/action/citation_signature","submit_replication":"https://pith.science/pith/RAKBQZ43UY73Y4V6H5MJL2PMA5/action/replication_record"}},"created_at":"2026-05-18T01:13:45.961953+00:00","updated_at":"2026-05-18T01:13:45.961953+00:00"}