{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:223R4MMHHBQOIIZ6TNONUE7EJO","short_pith_number":"pith:223R4MMH","canonical_record":{"source":{"id":"2004.12308","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.soc-ph","submitted_at":"2020-04-26T08:28:41Z","cross_cats_sorted":["math.DS","q-bio.PE"],"title_canon_sha256":"a4864aa9c72fc09f27cb7b2846e9a43984f9f9afd720bf254ba3846f83e9075b","abstract_canon_sha256":"3df070b33247ea78cc1fd4f3ac3e61cdeae4cc733f9bc47e2386a22e152c5913"},"schema_version":"1.0"},"canonical_sha256":"d6b71e31873860e4233e9b5cda13e44ba78eb4578c1e6b0d09af7eab832665be","source":{"kind":"arxiv","id":"2004.12308","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2004.12308","created_at":"2026-07-05T00:59:25Z"},{"alias_kind":"arxiv_version","alias_value":"2004.12308v3","created_at":"2026-07-05T00:59:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2004.12308","created_at":"2026-07-05T00:59:25Z"},{"alias_kind":"pith_short_12","alias_value":"223R4MMHHBQO","created_at":"2026-07-05T00:59:25Z"},{"alias_kind":"pith_short_16","alias_value":"223R4MMHHBQOIIZ6","created_at":"2026-07-05T00:59:25Z"},{"alias_kind":"pith_short_8","alias_value":"223R4MMH","created_at":"2026-07-05T00:59:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:223R4MMHHBQOIIZ6TNONUE7EJO","target":"record","payload":{"canonical_record":{"source":{"id":"2004.12308","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.soc-ph","submitted_at":"2020-04-26T08:28:41Z","cross_cats_sorted":["math.DS","q-bio.PE"],"title_canon_sha256":"a4864aa9c72fc09f27cb7b2846e9a43984f9f9afd720bf254ba3846f83e9075b","abstract_canon_sha256":"3df070b33247ea78cc1fd4f3ac3e61cdeae4cc733f9bc47e2386a22e152c5913"},"schema_version":"1.0"},"canonical_sha256":"d6b71e31873860e4233e9b5cda13e44ba78eb4578c1e6b0d09af7eab832665be","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:59:25.332885Z","signature_b64":"oniPy0fdKmF0M9E6naHB/8NbKJKg8coxrdKnajXc47wt3/KrW0JiuJr4S4uPLGpDYYPespafZdWGpTOnBFjpBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d6b71e31873860e4233e9b5cda13e44ba78eb4578c1e6b0d09af7eab832665be","last_reissued_at":"2026-07-05T00:59:25.332394Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:59:25.332394Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2004.12308","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:59:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sPubNQr+R9Q3bgTcSp0/dowaJzJt2Ml+AiepJiufhlfgoz3w+MKpwFJWAa91g31Dyk89NA98gkza979GcyvpBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-24T07:33:19.413616Z"},"content_sha256":"072e794565edc51e30750daa129a382202af4933228974690c08a08991885894","schema_version":"1.0","event_id":"sha256:072e794565edc51e30750daa129a382202af4933228974690c08a08991885894"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:223R4MMHHBQOIIZ6TNONUE7EJO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A fractional-order SEIHDR model for COVID-19 with inter-city networked coupling effects","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.DS","q-bio.PE"],"primary_cat":"physics.soc-ph","authors_text":"Conghui Xu, Guojian Ren, Shuhui Wang, YangQuan Chen, Yongguang Yu, Zhenzhen Lu, Zhe Yin","submitted_at":"2020-04-26T08:28:41Z","abstract_excerpt":"In this paper, a mathematical model is proposed to analyze the dynamic behavior of COVID-19. Based on inter-city networked coupling effects, a fractional-order SEIHDR system with the real-data from 23 January to 18 March, 2020 of COVID-19 is discussed. Meanwhile, hospitalized individuals and the mortality rates of three types of individuals (exposed, infected and hospitalized) are firstly taken into account in the proposed model. And infectivity of individuals during incubation is also considered in this paper. By applying least squares method and predictor-correctors scheme, the numerical sol"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2004.12308","kind":"arxiv","version":3},"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/2004.12308/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":"2026-07-05T00:59:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EPiM02Ke7lvV5dBkHQ+qM/kqKD5QaZLVp7TswwQHvfTfS2WVFCzo+IPETstyqg5WN8RyIk9fF3nYHLL083xfBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-24T07:33:19.413982Z"},"content_sha256":"3bf375870500a7a95c265be09ada71244651466bf125975c906e46e7728a37ee","schema_version":"1.0","event_id":"sha256:3bf375870500a7a95c265be09ada71244651466bf125975c906e46e7728a37ee"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/223R4MMHHBQOIIZ6TNONUE7EJO/bundle.json","state_url":"https://pith.science/pith/223R4MMHHBQOIIZ6TNONUE7EJO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/223R4MMHHBQOIIZ6TNONUE7EJO/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":"2026-07-24T07:33:19Z","links":{"resolver":"https://pith.science/pith/223R4MMHHBQOIIZ6TNONUE7EJO","bundle":"https://pith.science/pith/223R4MMHHBQOIIZ6TNONUE7EJO/bundle.json","state":"https://pith.science/pith/223R4MMHHBQOIIZ6TNONUE7EJO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/223R4MMHHBQOIIZ6TNONUE7EJO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:223R4MMHHBQOIIZ6TNONUE7EJO","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":"3df070b33247ea78cc1fd4f3ac3e61cdeae4cc733f9bc47e2386a22e152c5913","cross_cats_sorted":["math.DS","q-bio.PE"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.soc-ph","submitted_at":"2020-04-26T08:28:41Z","title_canon_sha256":"a4864aa9c72fc09f27cb7b2846e9a43984f9f9afd720bf254ba3846f83e9075b"},"schema_version":"1.0","source":{"id":"2004.12308","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2004.12308","created_at":"2026-07-05T00:59:25Z"},{"alias_kind":"arxiv_version","alias_value":"2004.12308v3","created_at":"2026-07-05T00:59:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2004.12308","created_at":"2026-07-05T00:59:25Z"},{"alias_kind":"pith_short_12","alias_value":"223R4MMHHBQO","created_at":"2026-07-05T00:59:25Z"},{"alias_kind":"pith_short_16","alias_value":"223R4MMHHBQOIIZ6","created_at":"2026-07-05T00:59:25Z"},{"alias_kind":"pith_short_8","alias_value":"223R4MMH","created_at":"2026-07-05T00:59:25Z"}],"graph_snapshots":[{"event_id":"sha256:3bf375870500a7a95c265be09ada71244651466bf125975c906e46e7728a37ee","target":"graph","created_at":"2026-07-05T00:59:25Z","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/2004.12308/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, a mathematical model is proposed to analyze the dynamic behavior of COVID-19. Based on inter-city networked coupling effects, a fractional-order SEIHDR system with the real-data from 23 January to 18 March, 2020 of COVID-19 is discussed. Meanwhile, hospitalized individuals and the mortality rates of three types of individuals (exposed, infected and hospitalized) are firstly taken into account in the proposed model. And infectivity of individuals during incubation is also considered in this paper. By applying least squares method and predictor-correctors scheme, the numerical sol","authors_text":"Conghui Xu, Guojian Ren, Shuhui Wang, YangQuan Chen, Yongguang Yu, Zhenzhen Lu, Zhe Yin","cross_cats":["math.DS","q-bio.PE"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.soc-ph","submitted_at":"2020-04-26T08:28:41Z","title":"A fractional-order SEIHDR model for COVID-19 with inter-city networked coupling effects"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2004.12308","kind":"arxiv","version":3},"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":"sha256:072e794565edc51e30750daa129a382202af4933228974690c08a08991885894","target":"record","created_at":"2026-07-05T00:59:25Z","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":"3df070b33247ea78cc1fd4f3ac3e61cdeae4cc733f9bc47e2386a22e152c5913","cross_cats_sorted":["math.DS","q-bio.PE"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.soc-ph","submitted_at":"2020-04-26T08:28:41Z","title_canon_sha256":"a4864aa9c72fc09f27cb7b2846e9a43984f9f9afd720bf254ba3846f83e9075b"},"schema_version":"1.0","source":{"id":"2004.12308","kind":"arxiv","version":3}},"canonical_sha256":"d6b71e31873860e4233e9b5cda13e44ba78eb4578c1e6b0d09af7eab832665be","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d6b71e31873860e4233e9b5cda13e44ba78eb4578c1e6b0d09af7eab832665be","first_computed_at":"2026-07-05T00:59:25.332394Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:59:25.332394Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oniPy0fdKmF0M9E6naHB/8NbKJKg8coxrdKnajXc47wt3/KrW0JiuJr4S4uPLGpDYYPespafZdWGpTOnBFjpBA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:59:25.332885Z","signed_message":"canonical_sha256_bytes"},"source_id":"2004.12308","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:072e794565edc51e30750daa129a382202af4933228974690c08a08991885894","sha256:3bf375870500a7a95c265be09ada71244651466bf125975c906e46e7728a37ee"],"state_sha256":"63a1328a435aff21693fa13f07bc4b51389a6130e441c56d90ac553d71cf6cae"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1QcsKD9XqlwYqiQmPsNN8Yu9MGm2d0AgYLR4GxoTwyph2gXdsivu2ITooVmHbPkM9nm/jn61Dn0aBYAN7NCFDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-24T07:33:19.416043Z","bundle_sha256":"f1a0d64a7bed67512c64decc0de7593244c958c479eb974772dd6b7619c56610"}}