{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:55HNMM7RJYXO23I3RLZSXKMBNT","short_pith_number":"pith:55HNMM7R","canonical_record":{"source":{"id":"2506.00104","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"physics.soc-ph","submitted_at":"2025-05-30T15:05:07Z","cross_cats_sorted":[],"title_canon_sha256":"a1672ec6c634e73a4fb2683424ebddcd89c3c95bb785c14c49142b74a571fce6","abstract_canon_sha256":"b4effb3338911e695db28124990fb0e6b5b9289d17c102b52c007dd2cd3b0aa0"},"schema_version":"1.0"},"canonical_sha256":"ef4ed633f14e2eed6d1b8af32ba9816ceac1aa16c5b50016d02b617f0acce6c0","source":{"kind":"arxiv","id":"2506.00104","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.00104","created_at":"2026-07-05T11:13:29Z"},{"alias_kind":"arxiv_version","alias_value":"2506.00104v1","created_at":"2026-07-05T11:13:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.00104","created_at":"2026-07-05T11:13:29Z"},{"alias_kind":"pith_short_12","alias_value":"55HNMM7RJYXO","created_at":"2026-07-05T11:13:29Z"},{"alias_kind":"pith_short_16","alias_value":"55HNMM7RJYXO23I3","created_at":"2026-07-05T11:13:29Z"},{"alias_kind":"pith_short_8","alias_value":"55HNMM7R","created_at":"2026-07-05T11:13:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:55HNMM7RJYXO23I3RLZSXKMBNT","target":"record","payload":{"canonical_record":{"source":{"id":"2506.00104","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"physics.soc-ph","submitted_at":"2025-05-30T15:05:07Z","cross_cats_sorted":[],"title_canon_sha256":"a1672ec6c634e73a4fb2683424ebddcd89c3c95bb785c14c49142b74a571fce6","abstract_canon_sha256":"b4effb3338911e695db28124990fb0e6b5b9289d17c102b52c007dd2cd3b0aa0"},"schema_version":"1.0"},"canonical_sha256":"ef4ed633f14e2eed6d1b8af32ba9816ceac1aa16c5b50016d02b617f0acce6c0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:13:29.078013Z","signature_b64":"VUXRpk3qLIDgNG9Mlna4raz+prLaBoffvW93y0EzeSeJyztOVe6Xuj1TUmgY+ZTpTp9EGUg7UHQbvpMC5D9DDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ef4ed633f14e2eed6d1b8af32ba9816ceac1aa16c5b50016d02b617f0acce6c0","last_reissued_at":"2026-07-05T11:13:29.077509Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:13:29.077509Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2506.00104","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":"2026-07-05T11:13:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Nri5KHuR+vJ0WsQniZFE6Pkm9jyu3dglUpxccIX5+kGzAYwIdPOEZoRAng+BhaWCu4nAjxz7uVfipw9rcDX3Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T13:15:22.036825Z"},"content_sha256":"460800695fff5e0d3e64df9e91b55be520b2cc2a75fd7d2a5bd493a721ad77e3","schema_version":"1.0","event_id":"sha256:460800695fff5e0d3e64df9e91b55be520b2cc2a75fd7d2a5bd493a721ad77e3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:55HNMM7RJYXO23I3RLZSXKMBNT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Epidemic dynamics in physical-information-social multilayer networks","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":[],"primary_cat":"physics.soc-ph","authors_text":"Baoguo Jia, Liangrong Peng, Liu Hong, Mengshou Wang","submitted_at":"2025-05-30T15:05:07Z","abstract_excerpt":"During epidemic outbreaks, information dissemination enhances individual protection, while social institutions influence the transmission through measures like government interventions, media campaigns, and hospital resource allocation. Here we develop a tripartite physical-information-social epidemic model and derive the corresponding kinetic equations in different scales by using the Microscopic Markov Chain Approach and mean-field approximations. The basic reproduction number and epidemic thresholds are explicitly derived by the next generation matrix method. Our results reveal that (1) act"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.00104","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/2506.00104/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":"2026-07-05T11:13:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lSrI3L5L6AOCDDu9HXFM6w7spOy/zQ/GEfsy1api/sY+t7oCGrrNUutDfJwfY9o+Ew4HFI4PVOasd9i8mpU8DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T13:15:22.037335Z"},"content_sha256":"c95e1baa33401ec38005fd030d14bc20fcdba524baf40f970efeba93580ed692","schema_version":"1.0","event_id":"sha256:c95e1baa33401ec38005fd030d14bc20fcdba524baf40f970efeba93580ed692"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/55HNMM7RJYXO23I3RLZSXKMBNT/bundle.json","state_url":"https://pith.science/pith/55HNMM7RJYXO23I3RLZSXKMBNT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/55HNMM7RJYXO23I3RLZSXKMBNT/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":"2026-08-08T13:15:22Z","links":{"resolver":"https://pith.science/pith/55HNMM7RJYXO23I3RLZSXKMBNT","bundle":"https://pith.science/pith/55HNMM7RJYXO23I3RLZSXKMBNT/bundle.json","state":"https://pith.science/pith/55HNMM7RJYXO23I3RLZSXKMBNT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/55HNMM7RJYXO23I3RLZSXKMBNT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:55HNMM7RJYXO23I3RLZSXKMBNT","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":"b4effb3338911e695db28124990fb0e6b5b9289d17c102b52c007dd2cd3b0aa0","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"physics.soc-ph","submitted_at":"2025-05-30T15:05:07Z","title_canon_sha256":"a1672ec6c634e73a4fb2683424ebddcd89c3c95bb785c14c49142b74a571fce6"},"schema_version":"1.0","source":{"id":"2506.00104","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.00104","created_at":"2026-07-05T11:13:29Z"},{"alias_kind":"arxiv_version","alias_value":"2506.00104v1","created_at":"2026-07-05T11:13:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.00104","created_at":"2026-07-05T11:13:29Z"},{"alias_kind":"pith_short_12","alias_value":"55HNMM7RJYXO","created_at":"2026-07-05T11:13:29Z"},{"alias_kind":"pith_short_16","alias_value":"55HNMM7RJYXO23I3","created_at":"2026-07-05T11:13:29Z"},{"alias_kind":"pith_short_8","alias_value":"55HNMM7R","created_at":"2026-07-05T11:13:29Z"}],"graph_snapshots":[{"event_id":"sha256:c95e1baa33401ec38005fd030d14bc20fcdba524baf40f970efeba93580ed692","target":"graph","created_at":"2026-07-05T11:13:29Z","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/2506.00104/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"During epidemic outbreaks, information dissemination enhances individual protection, while social institutions influence the transmission through measures like government interventions, media campaigns, and hospital resource allocation. Here we develop a tripartite physical-information-social epidemic model and derive the corresponding kinetic equations in different scales by using the Microscopic Markov Chain Approach and mean-field approximations. The basic reproduction number and epidemic thresholds are explicitly derived by the next generation matrix method. Our results reveal that (1) act","authors_text":"Baoguo Jia, Liangrong Peng, Liu Hong, Mengshou Wang","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"physics.soc-ph","submitted_at":"2025-05-30T15:05:07Z","title":"Epidemic dynamics in physical-information-social multilayer networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.00104","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":"sha256:460800695fff5e0d3e64df9e91b55be520b2cc2a75fd7d2a5bd493a721ad77e3","target":"record","created_at":"2026-07-05T11:13:29Z","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":"b4effb3338911e695db28124990fb0e6b5b9289d17c102b52c007dd2cd3b0aa0","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"physics.soc-ph","submitted_at":"2025-05-30T15:05:07Z","title_canon_sha256":"a1672ec6c634e73a4fb2683424ebddcd89c3c95bb785c14c49142b74a571fce6"},"schema_version":"1.0","source":{"id":"2506.00104","kind":"arxiv","version":1}},"canonical_sha256":"ef4ed633f14e2eed6d1b8af32ba9816ceac1aa16c5b50016d02b617f0acce6c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ef4ed633f14e2eed6d1b8af32ba9816ceac1aa16c5b50016d02b617f0acce6c0","first_computed_at":"2026-07-05T11:13:29.077509Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:13:29.077509Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VUXRpk3qLIDgNG9Mlna4raz+prLaBoffvW93y0EzeSeJyztOVe6Xuj1TUmgY+ZTpTp9EGUg7UHQbvpMC5D9DDw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:13:29.078013Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.00104","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:460800695fff5e0d3e64df9e91b55be520b2cc2a75fd7d2a5bd493a721ad77e3","sha256:c95e1baa33401ec38005fd030d14bc20fcdba524baf40f970efeba93580ed692"],"state_sha256":"5edf56c845b3c9269269883336d93201d7de9c4c066afd73519ccf0142d817d6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yxP3+maGKv6xZ6rlZIq1GMJcpQxvYPj27HKKExkZU0bW/GyettICqvOAtVXwe8M0+uj4B1UudFsnHtST/S6qAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T13:15:22.042537Z","bundle_sha256":"d38e45ac0e2df4266886abc23c0df244ce3199c76c1c835f5f04f6cb4ab11789"}}