{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:X6VU4A4BAZLCTYU22HMSUIFKDO","short_pith_number":"pith:X6VU4A4B","schema_version":"1.0","canonical_sha256":"bfab4e0381065629e29ad1d92a20aa1b96f461a9d75310716c1970571442813f","source":{"kind":"arxiv","id":"2606.30439","version":1},"attestation_state":"computed","paper":{"title":"On a Generalized Compartment Model for Ethanol Metabolism in the Human Body","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Benjamin Wacker, Manh Tuan Hoang, Thi Kim Quy Ngo","submitted_at":"2026-06-29T15:13:57Z","abstract_excerpt":"We introduce a generalized continuous-time compartment model of ethanol metabolism in the human body that extends a recently developed framework. In the proposed model, we replace the Michaelis-Menten mechanism of the liver's ethanol metabolism rate with a general class of nonlinear rate functions. This modification provides greater modeling flexibility and enables the model to capture a wider range of hepatic ethanol metabolism dynamics. The qualitative behavior of the proposed ethanol metabolism model is analyzed rigorously. More specifically, we investigate the positivity and boundedness of"},"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":"2606.30439","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DS","submitted_at":"2026-06-29T15:13:57Z","cross_cats_sorted":[],"title_canon_sha256":"5ce7f09fd0072f7a93bfa69a88d0edf81cc4bb71d92a2724195b061fcb92157a","abstract_canon_sha256":"fe02d9aa8415217f53738af2ca90a4e298842cbabd3d08405f664f6a2dc58580"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-30T02:18:15.238948Z","signature_b64":"6Bu/Af3p/UJtwhEwYE1vo6q0PonsuC1zdrecRA1vO66/yFfVOIO4224PEA8FnD3LaSpNiBLTOPyGt/i63YJJBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bfab4e0381065629e29ad1d92a20aa1b96f461a9d75310716c1970571442813f","last_reissued_at":"2026-06-30T02:18:15.238348Z","signature_status":"signed_v1","first_computed_at":"2026-06-30T02:18:15.238348Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On a Generalized Compartment Model for Ethanol Metabolism in the Human Body","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Benjamin Wacker, Manh Tuan Hoang, Thi Kim Quy Ngo","submitted_at":"2026-06-29T15:13:57Z","abstract_excerpt":"We introduce a generalized continuous-time compartment model of ethanol metabolism in the human body that extends a recently developed framework. In the proposed model, we replace the Michaelis-Menten mechanism of the liver's ethanol metabolism rate with a general class of nonlinear rate functions. This modification provides greater modeling flexibility and enables the model to capture a wider range of hepatic ethanol metabolism dynamics. The qualitative behavior of the proposed ethanol metabolism model is analyzed rigorously. More specifically, we investigate the positivity and boundedness of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.30439","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/2606.30439/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":"2606.30439","created_at":"2026-06-30T02:18:15.238440+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.30439v1","created_at":"2026-06-30T02:18:15.238440+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.30439","created_at":"2026-06-30T02:18:15.238440+00:00"},{"alias_kind":"pith_short_12","alias_value":"X6VU4A4BAZLC","created_at":"2026-06-30T02:18:15.238440+00:00"},{"alias_kind":"pith_short_16","alias_value":"X6VU4A4BAZLCTYU2","created_at":"2026-06-30T02:18:15.238440+00:00"},{"alias_kind":"pith_short_8","alias_value":"X6VU4A4B","created_at":"2026-06-30T02:18:15.238440+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/X6VU4A4BAZLCTYU22HMSUIFKDO","json":"https://pith.science/pith/X6VU4A4BAZLCTYU22HMSUIFKDO.json","graph_json":"https://pith.science/api/pith-number/X6VU4A4BAZLCTYU22HMSUIFKDO/graph.json","events_json":"https://pith.science/api/pith-number/X6VU4A4BAZLCTYU22HMSUIFKDO/events.json","paper":"https://pith.science/paper/X6VU4A4B"},"agent_actions":{"view_html":"https://pith.science/pith/X6VU4A4BAZLCTYU22HMSUIFKDO","download_json":"https://pith.science/pith/X6VU4A4BAZLCTYU22HMSUIFKDO.json","view_paper":"https://pith.science/paper/X6VU4A4B","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.30439&json=true","fetch_graph":"https://pith.science/api/pith-number/X6VU4A4BAZLCTYU22HMSUIFKDO/graph.json","fetch_events":"https://pith.science/api/pith-number/X6VU4A4BAZLCTYU22HMSUIFKDO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/X6VU4A4BAZLCTYU22HMSUIFKDO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/X6VU4A4BAZLCTYU22HMSUIFKDO/action/storage_attestation","attest_author":"https://pith.science/pith/X6VU4A4BAZLCTYU22HMSUIFKDO/action/author_attestation","sign_citation":"https://pith.science/pith/X6VU4A4BAZLCTYU22HMSUIFKDO/action/citation_signature","submit_replication":"https://pith.science/pith/X6VU4A4BAZLCTYU22HMSUIFKDO/action/replication_record"}},"created_at":"2026-06-30T02:18:15.238440+00:00","updated_at":"2026-06-30T02:18:15.238440+00:00"}