{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:7VMLBUYQYJFM5GERRTC7YVLIHD","short_pith_number":"pith:7VMLBUYQ","schema_version":"1.0","canonical_sha256":"fd58b0d310c24ace98918cc5fc556838f13cfc1b312f3adf0f18311c2328acf0","source":{"kind":"arxiv","id":"2103.09178","version":2},"attestation_state":"computed","paper":{"title":"Continuous-time stochastic processes for the spread of COVID-19 disease simulated via a Monte Carlo approach and comparison with deterministic models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.bio-ph"],"primary_cat":"q-bio.PE","authors_text":"Fabiana Calleri, Giovanni Nastasi, Vittorio Romano","submitted_at":"2021-03-16T16:27:01Z","abstract_excerpt":"Two stochastic models are proposed to describe the evolution of the COVID-19 pandemic. In the first model the population is partitioned into four compartments: susceptible $S$, infected $I$, removed $R$ and dead people $D$. In order to have a cross validation, a deterministic version of such a model is also devised which is represented by a system of ordinary differential equations with delays. In the second stochastic model two further compartments are added: the class $A$ of asymptomatic individuals and the class $L$ of isolated infected people. Effects such as social distancing measures are"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2103.09178","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2021-03-16T16:27:01Z","cross_cats_sorted":["physics.bio-ph"],"title_canon_sha256":"a2146e1d13763c92203120e74fc0a4163fca46353678a2fc7a4d3ae1fed3e0a4","abstract_canon_sha256":"4ea645c3c1156349bcd3898504391a4f4c47b98d9bac7cabf9b66b3ce058c828"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:14:33.771825Z","signature_b64":"5bwIqtMbxS+aqWj/CR6b+39M8gGadaLj2Oyhhqtb+qFWWJaEUQaoSELTBolaKeIdEcVCM9bruqH8WYAor9mxCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fd58b0d310c24ace98918cc5fc556838f13cfc1b312f3adf0f18311c2328acf0","last_reissued_at":"2026-07-05T03:14:33.771286Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:14:33.771286Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Continuous-time stochastic processes for the spread of COVID-19 disease simulated via a Monte Carlo approach and comparison with deterministic models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.bio-ph"],"primary_cat":"q-bio.PE","authors_text":"Fabiana Calleri, Giovanni Nastasi, Vittorio Romano","submitted_at":"2021-03-16T16:27:01Z","abstract_excerpt":"Two stochastic models are proposed to describe the evolution of the COVID-19 pandemic. In the first model the population is partitioned into four compartments: susceptible $S$, infected $I$, removed $R$ and dead people $D$. In order to have a cross validation, a deterministic version of such a model is also devised which is represented by a system of ordinary differential equations with delays. In the second stochastic model two further compartments are added: the class $A$ of asymptomatic individuals and the class $L$ of isolated infected people. Effects such as social distancing measures are"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.09178","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2103.09178/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2103.09178","created_at":"2026-07-05T03:14:33.771363+00:00"},{"alias_kind":"arxiv_version","alias_value":"2103.09178v2","created_at":"2026-07-05T03:14:33.771363+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.09178","created_at":"2026-07-05T03:14:33.771363+00:00"},{"alias_kind":"pith_short_12","alias_value":"7VMLBUYQYJFM","created_at":"2026-07-05T03:14:33.771363+00:00"},{"alias_kind":"pith_short_16","alias_value":"7VMLBUYQYJFM5GER","created_at":"2026-07-05T03:14:33.771363+00:00"},{"alias_kind":"pith_short_8","alias_value":"7VMLBUYQ","created_at":"2026-07-05T03:14:33.771363+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/7VMLBUYQYJFM5GERRTC7YVLIHD","json":"https://pith.science/pith/7VMLBUYQYJFM5GERRTC7YVLIHD.json","graph_json":"https://pith.science/api/pith-number/7VMLBUYQYJFM5GERRTC7YVLIHD/graph.json","events_json":"https://pith.science/api/pith-number/7VMLBUYQYJFM5GERRTC7YVLIHD/events.json","paper":"https://pith.science/paper/7VMLBUYQ"},"agent_actions":{"view_html":"https://pith.science/pith/7VMLBUYQYJFM5GERRTC7YVLIHD","download_json":"https://pith.science/pith/7VMLBUYQYJFM5GERRTC7YVLIHD.json","view_paper":"https://pith.science/paper/7VMLBUYQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2103.09178&json=true","fetch_graph":"https://pith.science/api/pith-number/7VMLBUYQYJFM5GERRTC7YVLIHD/graph.json","fetch_events":"https://pith.science/api/pith-number/7VMLBUYQYJFM5GERRTC7YVLIHD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7VMLBUYQYJFM5GERRTC7YVLIHD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7VMLBUYQYJFM5GERRTC7YVLIHD/action/storage_attestation","attest_author":"https://pith.science/pith/7VMLBUYQYJFM5GERRTC7YVLIHD/action/author_attestation","sign_citation":"https://pith.science/pith/7VMLBUYQYJFM5GERRTC7YVLIHD/action/citation_signature","submit_replication":"https://pith.science/pith/7VMLBUYQYJFM5GERRTC7YVLIHD/action/replication_record"}},"created_at":"2026-07-05T03:14:33.771363+00:00","updated_at":"2026-07-05T03:14:33.771363+00:00"}