{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:4S4M57NY5WLSGAHRPJDIVYUPGE","short_pith_number":"pith:4S4M57NY","canonical_record":{"source":{"id":"2607.00905","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"q-bio.PE","submitted_at":"2026-07-01T13:07:01Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"b1071426ce8d2a4af57a68b778a954646586b09278d90a3e2edf48db648dc215","abstract_canon_sha256":"071f3907cfae80e4024e308193fd548da69b311c373eb4e837ba36153ecaebf3"},"schema_version":"1.0"},"canonical_sha256":"e4b8cefdb8ed972300f17a468ae28f311089c98773f1ebdf0565b68c63830932","source":{"kind":"arxiv","id":"2607.00905","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.00905","created_at":"2026-07-02T01:18:23Z"},{"alias_kind":"arxiv_version","alias_value":"2607.00905v1","created_at":"2026-07-02T01:18:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.00905","created_at":"2026-07-02T01:18:23Z"},{"alias_kind":"pith_short_12","alias_value":"4S4M57NY5WLS","created_at":"2026-07-02T01:18:23Z"},{"alias_kind":"pith_short_16","alias_value":"4S4M57NY5WLSGAHR","created_at":"2026-07-02T01:18:23Z"},{"alias_kind":"pith_short_8","alias_value":"4S4M57NY","created_at":"2026-07-02T01:18:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:4S4M57NY5WLSGAHRPJDIVYUPGE","target":"record","payload":{"canonical_record":{"source":{"id":"2607.00905","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"q-bio.PE","submitted_at":"2026-07-01T13:07:01Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"b1071426ce8d2a4af57a68b778a954646586b09278d90a3e2edf48db648dc215","abstract_canon_sha256":"071f3907cfae80e4024e308193fd548da69b311c373eb4e837ba36153ecaebf3"},"schema_version":"1.0"},"canonical_sha256":"e4b8cefdb8ed972300f17a468ae28f311089c98773f1ebdf0565b68c63830932","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-02T01:18:23.092241Z","signature_b64":"5Fcpov4nrh5cYKRmikp7baJ1Jt08KpD0vzX2pXFsSRW/0JUMIv6h2JYhuTqnCms6tawEqQLcfNrys1WyYiU0Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e4b8cefdb8ed972300f17a468ae28f311089c98773f1ebdf0565b68c63830932","last_reissued_at":"2026-07-02T01:18:23.091852Z","signature_status":"signed_v1","first_computed_at":"2026-07-02T01:18:23.091852Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.00905","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":"2026-07-02T01:18:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JEmen6QA6XiI8OCg/fCe5NwRorB7ke4yrzcJsOxaq1VAZ3wKQchr9u+/jLaVgjAuvPok6a7LYAJWAk+QAAPBCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T13:46:23.042785Z"},"content_sha256":"63367e52a1fea0c02c14d916c474baaee2ac9a06de5ab3de86c240dc92390fef","schema_version":"1.0","event_id":"sha256:63367e52a1fea0c02c14d916c474baaee2ac9a06de5ab3de86c240dc92390fef"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:4S4M57NY5WLSGAHRPJDIVYUPGE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Immune history shapes recurrent epidemics of antigenically related variants","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["nlin.CD"],"primary_cat":"q-bio.PE","authors_text":"Akira Sasaki, Hisashi Ohtsuki, Ryuichi Kumata, Yuma Fujimoto","submitted_at":"2026-07-01T13:07:01Z","abstract_excerpt":"Population immunity carried over from past epidemics of an antigenically variable pathogen influences the epidemic of new variants based on their antigenic similarity to the previous ones. We develop a recurrent SIR model where a population faces sequential, antigenically related variants. The model yields a recurrence map for the population susceptibility to successive variants under the assumption of status-based population immunity. The model reveals that stable, equal-sized recurrent epidemics occur across broad parameter ranges, but can be destabilized when transmission is strong and anti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.00905","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.00905/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-02T01:18:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A2UDPdyZeWEEE6osbaI66FoJQ5PBtgSlj3jxD71vTeAd5HxPzpwmCq/FyfsVzxHVcduRYDzGfhlc25r2fnzyAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T13:46:23.043162Z"},"content_sha256":"02fc01f9764757f7619f0259aeb52822ef4db984c5a088b95a1aefe43b279b42","schema_version":"1.0","event_id":"sha256:02fc01f9764757f7619f0259aeb52822ef4db984c5a088b95a1aefe43b279b42"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4S4M57NY5WLSGAHRPJDIVYUPGE/bundle.json","state_url":"https://pith.science/pith/4S4M57NY5WLSGAHRPJDIVYUPGE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4S4M57NY5WLSGAHRPJDIVYUPGE/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":"2026-07-07T13:46:23Z","links":{"resolver":"https://pith.science/pith/4S4M57NY5WLSGAHRPJDIVYUPGE","bundle":"https://pith.science/pith/4S4M57NY5WLSGAHRPJDIVYUPGE/bundle.json","state":"https://pith.science/pith/4S4M57NY5WLSGAHRPJDIVYUPGE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4S4M57NY5WLSGAHRPJDIVYUPGE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:4S4M57NY5WLSGAHRPJDIVYUPGE","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":"071f3907cfae80e4024e308193fd548da69b311c373eb4e837ba36153ecaebf3","cross_cats_sorted":["nlin.CD"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"q-bio.PE","submitted_at":"2026-07-01T13:07:01Z","title_canon_sha256":"b1071426ce8d2a4af57a68b778a954646586b09278d90a3e2edf48db648dc215"},"schema_version":"1.0","source":{"id":"2607.00905","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.00905","created_at":"2026-07-02T01:18:23Z"},{"alias_kind":"arxiv_version","alias_value":"2607.00905v1","created_at":"2026-07-02T01:18:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.00905","created_at":"2026-07-02T01:18:23Z"},{"alias_kind":"pith_short_12","alias_value":"4S4M57NY5WLS","created_at":"2026-07-02T01:18:23Z"},{"alias_kind":"pith_short_16","alias_value":"4S4M57NY5WLSGAHR","created_at":"2026-07-02T01:18:23Z"},{"alias_kind":"pith_short_8","alias_value":"4S4M57NY","created_at":"2026-07-02T01:18:23Z"}],"graph_snapshots":[{"event_id":"sha256:02fc01f9764757f7619f0259aeb52822ef4db984c5a088b95a1aefe43b279b42","target":"graph","created_at":"2026-07-02T01:18:23Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2607.00905/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Population immunity carried over from past epidemics of an antigenically variable pathogen influences the epidemic of new variants based on their antigenic similarity to the previous ones. We develop a recurrent SIR model where a population faces sequential, antigenically related variants. The model yields a recurrence map for the population susceptibility to successive variants under the assumption of status-based population immunity. The model reveals that stable, equal-sized recurrent epidemics occur across broad parameter ranges, but can be destabilized when transmission is strong and anti","authors_text":"Akira Sasaki, Hisashi Ohtsuki, Ryuichi Kumata, Yuma Fujimoto","cross_cats":["nlin.CD"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"q-bio.PE","submitted_at":"2026-07-01T13:07:01Z","title":"Immune history shapes recurrent epidemics of antigenically related variants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.00905","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":"sha256:63367e52a1fea0c02c14d916c474baaee2ac9a06de5ab3de86c240dc92390fef","target":"record","created_at":"2026-07-02T01:18:23Z","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":"071f3907cfae80e4024e308193fd548da69b311c373eb4e837ba36153ecaebf3","cross_cats_sorted":["nlin.CD"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"q-bio.PE","submitted_at":"2026-07-01T13:07:01Z","title_canon_sha256":"b1071426ce8d2a4af57a68b778a954646586b09278d90a3e2edf48db648dc215"},"schema_version":"1.0","source":{"id":"2607.00905","kind":"arxiv","version":1}},"canonical_sha256":"e4b8cefdb8ed972300f17a468ae28f311089c98773f1ebdf0565b68c63830932","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e4b8cefdb8ed972300f17a468ae28f311089c98773f1ebdf0565b68c63830932","first_computed_at":"2026-07-02T01:18:23.091852Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-02T01:18:23.091852Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5Fcpov4nrh5cYKRmikp7baJ1Jt08KpD0vzX2pXFsSRW/0JUMIv6h2JYhuTqnCms6tawEqQLcfNrys1WyYiU0Dw==","signature_status":"signed_v1","signed_at":"2026-07-02T01:18:23.092241Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.00905","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:63367e52a1fea0c02c14d916c474baaee2ac9a06de5ab3de86c240dc92390fef","sha256:02fc01f9764757f7619f0259aeb52822ef4db984c5a088b95a1aefe43b279b42"],"state_sha256":"33a979b982cdd6a7b416db2d6901a1eb09d1453deb0142667ef82b41cbb65006"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7QveM79dKgC/dC82/xQbmVs95Nnlzs1LI+GY59RyNoW9YegwZqCNyAS/0ynVsU8bm5cAsc6D4Ypc4K7YuNmKAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T13:46:23.045401Z","bundle_sha256":"d380926686dcfdaf77a1177eb992d3dc0c9353fa2f404c8c6b65dfb66f9dcfcc"}}