{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:27T6L5L2WA6G6MUDF4LSMXHIT7","short_pith_number":"pith:27T6L5L2","canonical_record":{"source":{"id":"1503.00183","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2015-02-28T21:33:41Z","cross_cats_sorted":["physics.soc-ph"],"title_canon_sha256":"9bac92739ef7df2a43e939bcce63111b86c7ed246d1b65831c1dc946b1336ffe","abstract_canon_sha256":"71d84e2953cd68019a25495994242e0ab094e18da2661f87aa9fa7a4d4915aed"},"schema_version":"1.0"},"canonical_sha256":"d7e7e5f57ab03c6f32832f17265ce89fda9c3b63d978efb0a016e11d5436d45b","source":{"kind":"arxiv","id":"1503.00183","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.00183","created_at":"2026-05-18T02:25:54Z"},{"alias_kind":"arxiv_version","alias_value":"1503.00183v1","created_at":"2026-05-18T02:25:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.00183","created_at":"2026-05-18T02:25:54Z"},{"alias_kind":"pith_short_12","alias_value":"27T6L5L2WA6G","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"27T6L5L2WA6G6MUD","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"27T6L5L2","created_at":"2026-05-18T12:28:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:27T6L5L2WA6G6MUDF4LSMXHIT7","target":"record","payload":{"canonical_record":{"source":{"id":"1503.00183","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2015-02-28T21:33:41Z","cross_cats_sorted":["physics.soc-ph"],"title_canon_sha256":"9bac92739ef7df2a43e939bcce63111b86c7ed246d1b65831c1dc946b1336ffe","abstract_canon_sha256":"71d84e2953cd68019a25495994242e0ab094e18da2661f87aa9fa7a4d4915aed"},"schema_version":"1.0"},"canonical_sha256":"d7e7e5f57ab03c6f32832f17265ce89fda9c3b63d978efb0a016e11d5436d45b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:25:54.969697Z","signature_b64":"knC4HWFecYT49/C21iQY510OSTc95BxgZyNaDh6lG+KsIu0ooR5RgYaaIDkupYWUegjyKMyuASXRw6R5Uwr5AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d7e7e5f57ab03c6f32832f17265ce89fda9c3b63d978efb0a016e11d5436d45b","last_reissued_at":"2026-05-18T02:25:54.969307Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:25:54.969307Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1503.00183","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":"2026-05-18T02:25:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VQvEF4DVtmNc8kKJWBBv2AlKpGhKvsXfT0x080u08cK/nLhwcbYfQ3MbNAhf7zt0koSPVlUiR9ABBz7QD4sMCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T09:38:54.220505Z"},"content_sha256":"e3de0bea49d390c773f98364d22fcac1ad34b740b5c1ab3abd6346c68fe319c2","schema_version":"1.0","event_id":"sha256:e3de0bea49d390c773f98364d22fcac1ad34b740b5c1ab3abd6346c68fe319c2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:27T6L5L2WA6G6MUDF4LSMXHIT7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Role of word-of-mouth for programs of voluntary vaccination: A game-theoretic approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.soc-ph"],"primary_cat":"q-bio.PE","authors_text":"Chris Bauch, Romulus Breban, Samit Bhattacharyya","submitted_at":"2015-02-28T21:33:41Z","abstract_excerpt":"We propose a model describing the synergetic feedback between word-of-mouth (WoM) and epidemic dynamics controlled by voluntary vaccination. We combine a game-theoretic model for the spread of WoM and a compartmental model describing $SIR$ disease dynamics in the presence of a program of voluntary vaccination. We evaluate and compare two scenarios, depending on what WoM disseminates: (1) vaccine advertising, which may occur whether or not an epidemic is ongoing and (2) epidemic status, notably disease prevalence. Understanding the synergy between the two strategies could be particularly import"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.00183","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":"2026-05-18T02:25:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RASx2gGRy+8mvq5GB6s4ZL8xqvZ1Uu4NwOLr1dHMtxmCzdXiFWMgdLCHXkQ5kDQDQi0Scax9LKz7nQe1rLfKAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T09:38:54.220932Z"},"content_sha256":"e84f2e255d3af57205ee24f587c40b07b3487decaa4fe58631873557ac9787b1","schema_version":"1.0","event_id":"sha256:e84f2e255d3af57205ee24f587c40b07b3487decaa4fe58631873557ac9787b1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/27T6L5L2WA6G6MUDF4LSMXHIT7/bundle.json","state_url":"https://pith.science/pith/27T6L5L2WA6G6MUDF4LSMXHIT7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/27T6L5L2WA6G6MUDF4LSMXHIT7/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":"2026-06-09T09:38:54Z","links":{"resolver":"https://pith.science/pith/27T6L5L2WA6G6MUDF4LSMXHIT7","bundle":"https://pith.science/pith/27T6L5L2WA6G6MUDF4LSMXHIT7/bundle.json","state":"https://pith.science/pith/27T6L5L2WA6G6MUDF4LSMXHIT7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/27T6L5L2WA6G6MUDF4LSMXHIT7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:27T6L5L2WA6G6MUDF4LSMXHIT7","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":"71d84e2953cd68019a25495994242e0ab094e18da2661f87aa9fa7a4d4915aed","cross_cats_sorted":["physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2015-02-28T21:33:41Z","title_canon_sha256":"9bac92739ef7df2a43e939bcce63111b86c7ed246d1b65831c1dc946b1336ffe"},"schema_version":"1.0","source":{"id":"1503.00183","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.00183","created_at":"2026-05-18T02:25:54Z"},{"alias_kind":"arxiv_version","alias_value":"1503.00183v1","created_at":"2026-05-18T02:25:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.00183","created_at":"2026-05-18T02:25:54Z"},{"alias_kind":"pith_short_12","alias_value":"27T6L5L2WA6G","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"27T6L5L2WA6G6MUD","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"27T6L5L2","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:e84f2e255d3af57205ee24f587c40b07b3487decaa4fe58631873557ac9787b1","target":"graph","created_at":"2026-05-18T02:25:54Z","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 propose a model describing the synergetic feedback between word-of-mouth (WoM) and epidemic dynamics controlled by voluntary vaccination. We combine a game-theoretic model for the spread of WoM and a compartmental model describing $SIR$ disease dynamics in the presence of a program of voluntary vaccination. We evaluate and compare two scenarios, depending on what WoM disseminates: (1) vaccine advertising, which may occur whether or not an epidemic is ongoing and (2) epidemic status, notably disease prevalence. Understanding the synergy between the two strategies could be particularly import","authors_text":"Chris Bauch, Romulus Breban, Samit Bhattacharyya","cross_cats":["physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2015-02-28T21:33:41Z","title":"Role of word-of-mouth for programs of voluntary vaccination: A game-theoretic approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.00183","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:e3de0bea49d390c773f98364d22fcac1ad34b740b5c1ab3abd6346c68fe319c2","target":"record","created_at":"2026-05-18T02:25:54Z","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":"71d84e2953cd68019a25495994242e0ab094e18da2661f87aa9fa7a4d4915aed","cross_cats_sorted":["physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2015-02-28T21:33:41Z","title_canon_sha256":"9bac92739ef7df2a43e939bcce63111b86c7ed246d1b65831c1dc946b1336ffe"},"schema_version":"1.0","source":{"id":"1503.00183","kind":"arxiv","version":1}},"canonical_sha256":"d7e7e5f57ab03c6f32832f17265ce89fda9c3b63d978efb0a016e11d5436d45b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d7e7e5f57ab03c6f32832f17265ce89fda9c3b63d978efb0a016e11d5436d45b","first_computed_at":"2026-05-18T02:25:54.969307Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:25:54.969307Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"knC4HWFecYT49/C21iQY510OSTc95BxgZyNaDh6lG+KsIu0ooR5RgYaaIDkupYWUegjyKMyuASXRw6R5Uwr5AA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:25:54.969697Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.00183","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e3de0bea49d390c773f98364d22fcac1ad34b740b5c1ab3abd6346c68fe319c2","sha256:e84f2e255d3af57205ee24f587c40b07b3487decaa4fe58631873557ac9787b1"],"state_sha256":"df625bf2ab7eb21c943eda7b6a513e354957537f0f2dbb3a73fc366bf6be034c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5vPpzwHwqYO6ekPM1QYDMUx1zTnTbDsDGhQzQCnI3rCWdgVf7K0a8jYeM5cmJwfU3EXhe9px9Sxe113RKM1SAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T09:38:54.222924Z","bundle_sha256":"acc788371a3ddf27a4423cb407edc93ef5aa284170420ccdb9804ca81fa0016e"}}