{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:OUEIJSZOQCLMJUQE5BRUNU2FXR","short_pith_number":"pith:OUEIJSZO","canonical_record":{"source":{"id":"1004.5569","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-04-30T16:26:00Z","cross_cats_sorted":["q-bio.PE"],"title_canon_sha256":"3b287fdee516f6f879199c6abd1ab09b90aa105018d891bde0ead0dc75966e12","abstract_canon_sha256":"7993380eaaf7fa9fe1fe32d3263fd2aedbcaeaf05e4dbbcf2fd396e7ec1de9db"},"schema_version":"1.0"},"canonical_sha256":"750884cb2e8096c4d204e86346d345bc4b515e5ac9303428f0cdf967a7d5c587","source":{"kind":"arxiv","id":"1004.5569","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.5569","created_at":"2026-05-18T02:24:09Z"},{"alias_kind":"arxiv_version","alias_value":"1004.5569v1","created_at":"2026-05-18T02:24:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.5569","created_at":"2026-05-18T02:24:09Z"},{"alias_kind":"pith_short_12","alias_value":"OUEIJSZOQCLM","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"OUEIJSZOQCLMJUQE","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"OUEIJSZO","created_at":"2026-05-18T12:26:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:OUEIJSZOQCLMJUQE5BRUNU2FXR","target":"record","payload":{"canonical_record":{"source":{"id":"1004.5569","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-04-30T16:26:00Z","cross_cats_sorted":["q-bio.PE"],"title_canon_sha256":"3b287fdee516f6f879199c6abd1ab09b90aa105018d891bde0ead0dc75966e12","abstract_canon_sha256":"7993380eaaf7fa9fe1fe32d3263fd2aedbcaeaf05e4dbbcf2fd396e7ec1de9db"},"schema_version":"1.0"},"canonical_sha256":"750884cb2e8096c4d204e86346d345bc4b515e5ac9303428f0cdf967a7d5c587","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:24:09.776743Z","signature_b64":"SmnGQ8MZcSwq4GZfJdm6fW26UYQP9iOa4yApLoyKaQtXCS6icSr1vrqNoAhpKw1cKTsj925s9jsZNsmtV+LlAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"750884cb2e8096c4d204e86346d345bc4b515e5ac9303428f0cdf967a7d5c587","last_reissued_at":"2026-05-18T02:24:09.776001Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:24:09.776001Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1004.5569","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":"2026-05-18T02:24:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oaz63cfb+0cdsGHuEjDNKMVICNJ2bXPLUTfZM2deRurCPiNsssc2jA15+2+8AcHwSHo9HyZrVsI78c7yGiWvDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T04:13:37.171455Z"},"content_sha256":"78e7ba843d431ba26fc8b542bb31d5d26a34f2ac3c92dfd26d079c9f1ab8369e","schema_version":"1.0","event_id":"sha256:78e7ba843d431ba26fc8b542bb31d5d26a34f2ac3c92dfd26d079c9f1ab8369e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:OUEIJSZOQCLMJUQE5BRUNU2FXR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Will the swine strain crowd out the seasonal influenza strain?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.PE"],"primary_cat":"math.PR","authors_text":"Rinaldo B. Schinazi","submitted_at":"2010-04-30T16:26:00Z","abstract_excerpt":"We use spatial and non spatial models to argue that competition alone may explain why two influenza strains do not usually coexist. The more virulent strain is likely to crowd out the less virulent one. This can be seen as a consequence of the Exclusion Principle of Ecology. We exhibit, however, a spatial model for which coexistence is possible."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.5569","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":"2026-05-18T02:24:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b/0k3p40kyAyxBTA9T4pgdvwBNhGWvglxW99iobhsS4BnzmqSoBs9vJDh3Q8e4ydyHxeWD/dPresRz+oykQOAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T04:13:37.172104Z"},"content_sha256":"d6748128b4651ce99e00e9f55f11b1a762a83457851a61d7d62d8f13e273a3af","schema_version":"1.0","event_id":"sha256:d6748128b4651ce99e00e9f55f11b1a762a83457851a61d7d62d8f13e273a3af"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OUEIJSZOQCLMJUQE5BRUNU2FXR/bundle.json","state_url":"https://pith.science/pith/OUEIJSZOQCLMJUQE5BRUNU2FXR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OUEIJSZOQCLMJUQE5BRUNU2FXR/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":"2026-05-31T04:13:37Z","links":{"resolver":"https://pith.science/pith/OUEIJSZOQCLMJUQE5BRUNU2FXR","bundle":"https://pith.science/pith/OUEIJSZOQCLMJUQE5BRUNU2FXR/bundle.json","state":"https://pith.science/pith/OUEIJSZOQCLMJUQE5BRUNU2FXR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OUEIJSZOQCLMJUQE5BRUNU2FXR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:OUEIJSZOQCLMJUQE5BRUNU2FXR","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":"7993380eaaf7fa9fe1fe32d3263fd2aedbcaeaf05e4dbbcf2fd396e7ec1de9db","cross_cats_sorted":["q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-04-30T16:26:00Z","title_canon_sha256":"3b287fdee516f6f879199c6abd1ab09b90aa105018d891bde0ead0dc75966e12"},"schema_version":"1.0","source":{"id":"1004.5569","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.5569","created_at":"2026-05-18T02:24:09Z"},{"alias_kind":"arxiv_version","alias_value":"1004.5569v1","created_at":"2026-05-18T02:24:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.5569","created_at":"2026-05-18T02:24:09Z"},{"alias_kind":"pith_short_12","alias_value":"OUEIJSZOQCLM","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"OUEIJSZOQCLMJUQE","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"OUEIJSZO","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:d6748128b4651ce99e00e9f55f11b1a762a83457851a61d7d62d8f13e273a3af","target":"graph","created_at":"2026-05-18T02:24:09Z","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 use spatial and non spatial models to argue that competition alone may explain why two influenza strains do not usually coexist. The more virulent strain is likely to crowd out the less virulent one. This can be seen as a consequence of the Exclusion Principle of Ecology. We exhibit, however, a spatial model for which coexistence is possible.","authors_text":"Rinaldo B. Schinazi","cross_cats":["q-bio.PE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-04-30T16:26:00Z","title":"Will the swine strain crowd out the seasonal influenza strain?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.5569","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":"sha256:78e7ba843d431ba26fc8b542bb31d5d26a34f2ac3c92dfd26d079c9f1ab8369e","target":"record","created_at":"2026-05-18T02:24:09Z","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":"7993380eaaf7fa9fe1fe32d3263fd2aedbcaeaf05e4dbbcf2fd396e7ec1de9db","cross_cats_sorted":["q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-04-30T16:26:00Z","title_canon_sha256":"3b287fdee516f6f879199c6abd1ab09b90aa105018d891bde0ead0dc75966e12"},"schema_version":"1.0","source":{"id":"1004.5569","kind":"arxiv","version":1}},"canonical_sha256":"750884cb2e8096c4d204e86346d345bc4b515e5ac9303428f0cdf967a7d5c587","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"750884cb2e8096c4d204e86346d345bc4b515e5ac9303428f0cdf967a7d5c587","first_computed_at":"2026-05-18T02:24:09.776001Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:24:09.776001Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SmnGQ8MZcSwq4GZfJdm6fW26UYQP9iOa4yApLoyKaQtXCS6icSr1vrqNoAhpKw1cKTsj925s9jsZNsmtV+LlAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:24:09.776743Z","signed_message":"canonical_sha256_bytes"},"source_id":"1004.5569","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:78e7ba843d431ba26fc8b542bb31d5d26a34f2ac3c92dfd26d079c9f1ab8369e","sha256:d6748128b4651ce99e00e9f55f11b1a762a83457851a61d7d62d8f13e273a3af"],"state_sha256":"d62d05dc26e8524c4e9cbadb3b54361e595e5f9a298717f091a4215a0751b382"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"94Gh2kOC7kckc8lq5GrWTOvP7PhBiRYQp/EGbqTQDFg8pWGUTq/3n/xv58/eg+1nucwZi+3pdDre9P8spVwnCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T04:13:37.175723Z","bundle_sha256":"b04d6d80d783c015b24ccc84fb89c340be67fab2a89c233d5929f908c79a9eed"}}