{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:GI5JJ27I5TJRHULJLURW4FUFXT","short_pith_number":"pith:GI5JJ27I","canonical_record":{"source":{"id":"0905.2711","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2009-05-17T01:17:44Z","cross_cats_sorted":[],"title_canon_sha256":"8e3c016c5597cd2208ab380f2cd83a796dbb4e338f3bebbb505e4e46ed0585d6","abstract_canon_sha256":"ea47197a6eeb5e560f3520b2ad5f8effa686b7c36ba437b71d236fb15c258c3c"},"schema_version":"1.0"},"canonical_sha256":"323a94ebe8ecd313d1695d236e1685bcf44e00452a55ce641a7ae71cae4b5adf","source":{"kind":"arxiv","id":"0905.2711","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0905.2711","created_at":"2026-05-18T02:13:39Z"},{"alias_kind":"arxiv_version","alias_value":"0905.2711v1","created_at":"2026-05-18T02:13:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.2711","created_at":"2026-05-18T02:13:39Z"},{"alias_kind":"pith_short_12","alias_value":"GI5JJ27I5TJR","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"GI5JJ27I5TJRHULJ","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"GI5JJ27I","created_at":"2026-05-18T12:25:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:GI5JJ27I5TJRHULJLURW4FUFXT","target":"record","payload":{"canonical_record":{"source":{"id":"0905.2711","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2009-05-17T01:17:44Z","cross_cats_sorted":[],"title_canon_sha256":"8e3c016c5597cd2208ab380f2cd83a796dbb4e338f3bebbb505e4e46ed0585d6","abstract_canon_sha256":"ea47197a6eeb5e560f3520b2ad5f8effa686b7c36ba437b71d236fb15c258c3c"},"schema_version":"1.0"},"canonical_sha256":"323a94ebe8ecd313d1695d236e1685bcf44e00452a55ce641a7ae71cae4b5adf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:13:39.073229Z","signature_b64":"JJMsa/MY0uqJd5LyhXPoAqVMhrRmGGkFpmrxidt7Smy8f/624B/5iVwJ73tdjlvtDTlOUGrbPD43946t7mWjAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"323a94ebe8ecd313d1695d236e1685bcf44e00452a55ce641a7ae71cae4b5adf","last_reissued_at":"2026-05-18T02:13:39.072832Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:13:39.072832Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0905.2711","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":"2026-05-18T02:13:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V16LG12MvHMadGgmJQLd7sfbUR+rMbV3xr/znxsibVS90CEhcjah1AJnGQecIqmoidzB9jcpSpu/w3gzmVUTBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T02:12:13.663877Z"},"content_sha256":"50ca4935e90193d405ab300eaf2ac3b7652dfc986ad51b5b9892fc8ce2da4170","schema_version":"1.0","event_id":"sha256:50ca4935e90193d405ab300eaf2ac3b7652dfc986ad51b5b9892fc8ce2da4170"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:GI5JJ27I5TJRHULJLURW4FUFXT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Preferential attachment renders an evolving network of populations robust against crashes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.AO","authors_text":"Areejit Samal, Hildegard Meyer-Ortmanns","submitted_at":"2009-05-17T01:17:44Z","abstract_excerpt":"We study a model for the evolution of chemical species under a combination of population dynamics on a short time scale and a selection mechanism on a longer time scale. Least fit nodes are replaced by new nodes whose links are attached to the nodes of the given network via preferential attachment. In contrast to a random attachment of newly incoming nodes that was used in previous work, this preferential attachment mechanism accelerates the generation of a so-called autocatalytic set after a start from a random geometry and the growth of this structure until it saturates in a stationary phase"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.2711","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":"2026-05-18T02:13:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G7qQSvNqOlwdGLlnaVufHliIv2u//fxzH65XCZj/hmvpCSAWHMoFGMHkGB/uRm57C5GwNGfCD2RXeDL73txcCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T02:12:13.664246Z"},"content_sha256":"e48b1b2935d1ce3eb4ea417fbeb6b8ca193f03ec48dd7107bf087d448cb7ec9c","schema_version":"1.0","event_id":"sha256:e48b1b2935d1ce3eb4ea417fbeb6b8ca193f03ec48dd7107bf087d448cb7ec9c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GI5JJ27I5TJRHULJLURW4FUFXT/bundle.json","state_url":"https://pith.science/pith/GI5JJ27I5TJRHULJLURW4FUFXT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GI5JJ27I5TJRHULJLURW4FUFXT/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":"2026-06-07T02:12:13Z","links":{"resolver":"https://pith.science/pith/GI5JJ27I5TJRHULJLURW4FUFXT","bundle":"https://pith.science/pith/GI5JJ27I5TJRHULJLURW4FUFXT/bundle.json","state":"https://pith.science/pith/GI5JJ27I5TJRHULJLURW4FUFXT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GI5JJ27I5TJRHULJLURW4FUFXT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:GI5JJ27I5TJRHULJLURW4FUFXT","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":"ea47197a6eeb5e560f3520b2ad5f8effa686b7c36ba437b71d236fb15c258c3c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2009-05-17T01:17:44Z","title_canon_sha256":"8e3c016c5597cd2208ab380f2cd83a796dbb4e338f3bebbb505e4e46ed0585d6"},"schema_version":"1.0","source":{"id":"0905.2711","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0905.2711","created_at":"2026-05-18T02:13:39Z"},{"alias_kind":"arxiv_version","alias_value":"0905.2711v1","created_at":"2026-05-18T02:13:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.2711","created_at":"2026-05-18T02:13:39Z"},{"alias_kind":"pith_short_12","alias_value":"GI5JJ27I5TJR","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"GI5JJ27I5TJRHULJ","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"GI5JJ27I","created_at":"2026-05-18T12:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:e48b1b2935d1ce3eb4ea417fbeb6b8ca193f03ec48dd7107bf087d448cb7ec9c","target":"graph","created_at":"2026-05-18T02:13:39Z","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 study a model for the evolution of chemical species under a combination of population dynamics on a short time scale and a selection mechanism on a longer time scale. Least fit nodes are replaced by new nodes whose links are attached to the nodes of the given network via preferential attachment. In contrast to a random attachment of newly incoming nodes that was used in previous work, this preferential attachment mechanism accelerates the generation of a so-called autocatalytic set after a start from a random geometry and the growth of this structure until it saturates in a stationary phase","authors_text":"Areejit Samal, Hildegard Meyer-Ortmanns","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2009-05-17T01:17:44Z","title":"Preferential attachment renders an evolving network of populations robust against crashes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.2711","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":"sha256:50ca4935e90193d405ab300eaf2ac3b7652dfc986ad51b5b9892fc8ce2da4170","target":"record","created_at":"2026-05-18T02:13:39Z","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":"ea47197a6eeb5e560f3520b2ad5f8effa686b7c36ba437b71d236fb15c258c3c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2009-05-17T01:17:44Z","title_canon_sha256":"8e3c016c5597cd2208ab380f2cd83a796dbb4e338f3bebbb505e4e46ed0585d6"},"schema_version":"1.0","source":{"id":"0905.2711","kind":"arxiv","version":1}},"canonical_sha256":"323a94ebe8ecd313d1695d236e1685bcf44e00452a55ce641a7ae71cae4b5adf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"323a94ebe8ecd313d1695d236e1685bcf44e00452a55ce641a7ae71cae4b5adf","first_computed_at":"2026-05-18T02:13:39.072832Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:13:39.072832Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JJMsa/MY0uqJd5LyhXPoAqVMhrRmGGkFpmrxidt7Smy8f/624B/5iVwJ73tdjlvtDTlOUGrbPD43946t7mWjAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:13:39.073229Z","signed_message":"canonical_sha256_bytes"},"source_id":"0905.2711","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:50ca4935e90193d405ab300eaf2ac3b7652dfc986ad51b5b9892fc8ce2da4170","sha256:e48b1b2935d1ce3eb4ea417fbeb6b8ca193f03ec48dd7107bf087d448cb7ec9c"],"state_sha256":"1816c1305b960966298cc8f966ec3fe74da2dbcb25eb271b95ec580ff239d150"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rj2VWcbyKpumw6gT1MA8rohhPX9lfEgVO7z+xxqAw6eff5QSPgrpjdbEyyJFjOrG9NvQCVrN0hPN6nBu+OxNBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T02:12:13.667125Z","bundle_sha256":"9e092e3b69ac2cfe48de6a367cc78fa3b7a79681e5223c9d555b91e88432fbb6"}}