{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:NPG3KSEN5W6SPQFP4RQ2FVKZHB","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":"13db0c7525d3f7404a1f92c465766ca094a34fe913bd7246f5d6e13520545a0c","cross_cats_sorted":["nlin.AO","q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-11-06T17:21:51Z","title_canon_sha256":"df23aa53f999093849ad54d403a3c9fb0e14524f0ab980cf89d6428c70b3b67d"},"schema_version":"1.0","source":{"id":"1511.02168","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.02168","created_at":"2026-05-18T01:18:41Z"},{"alias_kind":"arxiv_version","alias_value":"1511.02168v2","created_at":"2026-05-18T01:18:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.02168","created_at":"2026-05-18T01:18:41Z"},{"alias_kind":"pith_short_12","alias_value":"NPG3KSEN5W6S","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"NPG3KSEN5W6SPQFP","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"NPG3KSEN","created_at":"2026-05-18T12:29:34Z"}],"graph_snapshots":[{"event_id":"sha256:982f8af7cfafa9f28119b8368f8e07ac31d505540433620a58a33c5b43f211f0","target":"graph","created_at":"2026-05-18T01:18:41Z","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":"Notable recent works have focused on the multi-layer properties of coevolving diseases. We point out that very similar systems play an important role in population ecology. Specifically we study a meta food-web model that was recently proposed by Pillai et al. This model describes a network of species connected by feeding interactions, which spread over a network of spatial patches. Focusing on the essential case, where the network of feeding interactions is a chain, we develop an analytical approach for the computation of the degree distributions of colonized spatial patches for the different","authors_text":"Edmund Barter, Thilo gross","cross_cats":["nlin.AO","q-bio.PE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-11-06T17:21:51Z","title":"Meta-food-chains as a many-layer epidemic process on networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.02168","kind":"arxiv","version":2},"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":"sha256:683c0a57ba30ff3bb9fff1bf117a416bebe1332286f732fa16db45e6abbafba4","target":"record","created_at":"2026-05-18T01:18:41Z","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":"13db0c7525d3f7404a1f92c465766ca094a34fe913bd7246f5d6e13520545a0c","cross_cats_sorted":["nlin.AO","q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-11-06T17:21:51Z","title_canon_sha256":"df23aa53f999093849ad54d403a3c9fb0e14524f0ab980cf89d6428c70b3b67d"},"schema_version":"1.0","source":{"id":"1511.02168","kind":"arxiv","version":2}},"canonical_sha256":"6bcdb5488dedbd27c0afe461a2d559385f31e53d181e4d7ec24d348969d55acd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6bcdb5488dedbd27c0afe461a2d559385f31e53d181e4d7ec24d348969d55acd","first_computed_at":"2026-05-18T01:18:41.730296Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:41.730296Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Tgr3G2HDrJGTC4/HZ2r7ClUZ4a4AC+yal4yumho7FI2C7utRSI5P486rqPfgKkgaBvgwXrkkebDvjDuSV6pGCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:41.730890Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.02168","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:683c0a57ba30ff3bb9fff1bf117a416bebe1332286f732fa16db45e6abbafba4","sha256:982f8af7cfafa9f28119b8368f8e07ac31d505540433620a58a33c5b43f211f0"],"state_sha256":"a4dee6d4ce9350bc40d3b1c6bb9a4f21befe01c75ec278f882499aeb6e2f0ea9"}