{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:FT2ZE4HZBVOKP4RCVMSZTRYWET","short_pith_number":"pith:FT2ZE4HZ","canonical_record":{"source":{"id":"1605.03914","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-05-12T17:55:08Z","cross_cats_sorted":["cond-mat.stat-mech","q-bio.PE"],"title_canon_sha256":"854396ddc4d99d06e871558b15fd57d9ad7dc50adb2a7d6453913350f28856f8","abstract_canon_sha256":"b87346f93ac6e1d2a61d85ea8ee3732bab341e2640770fb18f5ec23107f6647e"},"schema_version":"1.0"},"canonical_sha256":"2cf59270f90d5ca7f222ab2599c71624fab7a6b53652941a8b4bbb73b400decb","source":{"kind":"arxiv","id":"1605.03914","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.03914","created_at":"2026-05-18T01:01:08Z"},{"alias_kind":"arxiv_version","alias_value":"1605.03914v2","created_at":"2026-05-18T01:01:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.03914","created_at":"2026-05-18T01:01:08Z"},{"alias_kind":"pith_short_12","alias_value":"FT2ZE4HZBVOK","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FT2ZE4HZBVOKP4RC","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FT2ZE4HZ","created_at":"2026-05-18T12:30:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:FT2ZE4HZBVOKP4RCVMSZTRYWET","target":"record","payload":{"canonical_record":{"source":{"id":"1605.03914","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-05-12T17:55:08Z","cross_cats_sorted":["cond-mat.stat-mech","q-bio.PE"],"title_canon_sha256":"854396ddc4d99d06e871558b15fd57d9ad7dc50adb2a7d6453913350f28856f8","abstract_canon_sha256":"b87346f93ac6e1d2a61d85ea8ee3732bab341e2640770fb18f5ec23107f6647e"},"schema_version":"1.0"},"canonical_sha256":"2cf59270f90d5ca7f222ab2599c71624fab7a6b53652941a8b4bbb73b400decb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:01:08.502424Z","signature_b64":"raBix9WsXNdQbRYFjeJYS3E07jwu2/RB0uvCpOajT7rcA1ZKJqzNpAhM3SOKxO7UGaYvZixTv/32jNEt/u3FBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2cf59270f90d5ca7f222ab2599c71624fab7a6b53652941a8b4bbb73b400decb","last_reissued_at":"2026-05-18T01:01:08.501697Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:01:08.501697Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.03914","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:01:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3+oB2WZ0DLZBpt7EgsXY3HY0cYs5v8Fl7DmMtbnIk0iVwgl/dJtYoDqzBaDpExn6o/dFcJl1pUQwGAii2OrwDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T21:17:36.655964Z"},"content_sha256":"661ff5e61ffe5d43c8d5791f6ef55ed3a78d1f3f49dca3c5a6238ecc22015a19","schema_version":"1.0","event_id":"sha256:661ff5e61ffe5d43c8d5791f6ef55ed3a78d1f3f49dca3c5a6238ecc22015a19"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:FT2ZE4HZBVOKP4RCVMSZTRYWET","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dynamics of epidemic spreading with vaccination: impact of social pressure and engagement","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","q-bio.PE"],"primary_cat":"physics.soc-ph","authors_text":"Marcelo A. Pires, Nuno Crokidakis","submitted_at":"2016-05-12T17:55:08Z","abstract_excerpt":"In this work we consider a model of epidemic spreading coupled with an opinion dynamics in a fully-connected population. Regarding the opinion dynamics, the individuals may be in two distinct states, namely in favor or against a vaccination campaign. Individuals against the vaccination follow a standard SIS model, whereas the pro-vaccine individuals can also be in a third compartment, namely Vaccinated. In addition, the opinions change according to the majority-rule dynamics in groups with three individuals. We also consider that the vaccine can give permanent or temporary immunization to the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.03914","kind":"arxiv","version":2},"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":"2026-05-18T01:01:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1szezdTAP7rVvCQCAbOGEPzzoCN83IJj0yf7KfQRTC9/SfvVMkeqgn9QrWs6T1e5KGnUQRKXY/nqLCV7sdZWDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T21:17:36.656332Z"},"content_sha256":"d50d069299e0d1beb197c2b71aeedcb726b245a051bd457586d95134946e8b5b","schema_version":"1.0","event_id":"sha256:d50d069299e0d1beb197c2b71aeedcb726b245a051bd457586d95134946e8b5b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FT2ZE4HZBVOKP4RCVMSZTRYWET/bundle.json","state_url":"https://pith.science/pith/FT2ZE4HZBVOKP4RCVMSZTRYWET/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FT2ZE4HZBVOKP4RCVMSZTRYWET/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":"2026-05-27T21:17:36Z","links":{"resolver":"https://pith.science/pith/FT2ZE4HZBVOKP4RCVMSZTRYWET","bundle":"https://pith.science/pith/FT2ZE4HZBVOKP4RCVMSZTRYWET/bundle.json","state":"https://pith.science/pith/FT2ZE4HZBVOKP4RCVMSZTRYWET/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FT2ZE4HZBVOKP4RCVMSZTRYWET/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:FT2ZE4HZBVOKP4RCVMSZTRYWET","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":"b87346f93ac6e1d2a61d85ea8ee3732bab341e2640770fb18f5ec23107f6647e","cross_cats_sorted":["cond-mat.stat-mech","q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-05-12T17:55:08Z","title_canon_sha256":"854396ddc4d99d06e871558b15fd57d9ad7dc50adb2a7d6453913350f28856f8"},"schema_version":"1.0","source":{"id":"1605.03914","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.03914","created_at":"2026-05-18T01:01:08Z"},{"alias_kind":"arxiv_version","alias_value":"1605.03914v2","created_at":"2026-05-18T01:01:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.03914","created_at":"2026-05-18T01:01:08Z"},{"alias_kind":"pith_short_12","alias_value":"FT2ZE4HZBVOK","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FT2ZE4HZBVOKP4RC","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FT2ZE4HZ","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:d50d069299e0d1beb197c2b71aeedcb726b245a051bd457586d95134946e8b5b","target":"graph","created_at":"2026-05-18T01:01:08Z","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":"In this work we consider a model of epidemic spreading coupled with an opinion dynamics in a fully-connected population. Regarding the opinion dynamics, the individuals may be in two distinct states, namely in favor or against a vaccination campaign. Individuals against the vaccination follow a standard SIS model, whereas the pro-vaccine individuals can also be in a third compartment, namely Vaccinated. In addition, the opinions change according to the majority-rule dynamics in groups with three individuals. We also consider that the vaccine can give permanent or temporary immunization to the ","authors_text":"Marcelo A. Pires, Nuno Crokidakis","cross_cats":["cond-mat.stat-mech","q-bio.PE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-05-12T17:55:08Z","title":"Dynamics of epidemic spreading with vaccination: impact of social pressure and engagement"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.03914","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":"sha256:661ff5e61ffe5d43c8d5791f6ef55ed3a78d1f3f49dca3c5a6238ecc22015a19","target":"record","created_at":"2026-05-18T01:01:08Z","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":"b87346f93ac6e1d2a61d85ea8ee3732bab341e2640770fb18f5ec23107f6647e","cross_cats_sorted":["cond-mat.stat-mech","q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-05-12T17:55:08Z","title_canon_sha256":"854396ddc4d99d06e871558b15fd57d9ad7dc50adb2a7d6453913350f28856f8"},"schema_version":"1.0","source":{"id":"1605.03914","kind":"arxiv","version":2}},"canonical_sha256":"2cf59270f90d5ca7f222ab2599c71624fab7a6b53652941a8b4bbb73b400decb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2cf59270f90d5ca7f222ab2599c71624fab7a6b53652941a8b4bbb73b400decb","first_computed_at":"2026-05-18T01:01:08.501697Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:01:08.501697Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"raBix9WsXNdQbRYFjeJYS3E07jwu2/RB0uvCpOajT7rcA1ZKJqzNpAhM3SOKxO7UGaYvZixTv/32jNEt/u3FBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:01:08.502424Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.03914","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:661ff5e61ffe5d43c8d5791f6ef55ed3a78d1f3f49dca3c5a6238ecc22015a19","sha256:d50d069299e0d1beb197c2b71aeedcb726b245a051bd457586d95134946e8b5b"],"state_sha256":"4352f2282e5054da01f2168933f9d2e1ff97c14ad5530d8b799c66529256de8f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fSf/hyPR6CM0xU20rCarZHa7/+Zm/qTsFCGjyALM1LSjgCY8yAFVLW+ZERN62scAeEwstmmv9G3YnHF3YdxjAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T21:17:36.658386Z","bundle_sha256":"488d2318be4cc571d23fb6ccb6d97b7c6b488b00addd64addb001dfba2f28461"}}