{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:TMPUDVJ3CMHG2JJQT65ZE7Z6J5","short_pith_number":"pith:TMPUDVJ3","schema_version":"1.0","canonical_sha256":"9b1f41d53b130e6d25309fbb927f3e4f51e884f58c4f6618729f64f0d976dc8a","source":{"kind":"arxiv","id":"2010.00690","version":2},"attestation_state":"computed","paper":{"title":"The Fundamental Solution for the Heat Equation on the half-line with Drift and Dirichlet Boundary Condition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Marielle Simon, Nicolas Perkowski, Patr\\'icia Gon\\c{c}alves, Tertuliano Franco","submitted_at":"2020-10-01T21:19:39Z","abstract_excerpt":"By a probabilistic method we provide an explicit fundamental solution of the Cauchy problem associated to the heat equation on the half-line with constant drift and Dirichlet boundary condition at zero."},"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":"2010.00690","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2020-10-01T21:19:39Z","cross_cats_sorted":[],"title_canon_sha256":"5ad799527c4331b83c0dc0cd4b2413b058d8e8c904b34f65fabc7ed5030903f8","abstract_canon_sha256":"914a5867dc76a105ee9d7b5bc46317df3789c2aecb0f058589f390b2d240353f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:40:02.369825Z","signature_b64":"yRXX/HDBeWLtNbXJDUjToj/CIdqD8rgKA5XFq7DZYRPWy/x5yH/9ZyFaQqELwoZjInFQge21p+xunp+lwLrsAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9b1f41d53b130e6d25309fbb927f3e4f51e884f58c4f6618729f64f0d976dc8a","last_reissued_at":"2026-07-05T01:40:02.369361Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:40:02.369361Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Fundamental Solution for the Heat Equation on the half-line with Drift and Dirichlet Boundary Condition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Marielle Simon, Nicolas Perkowski, Patr\\'icia Gon\\c{c}alves, Tertuliano Franco","submitted_at":"2020-10-01T21:19:39Z","abstract_excerpt":"By a probabilistic method we provide an explicit fundamental solution of the Cauchy problem associated to the heat equation on the half-line with constant drift and Dirichlet boundary condition at zero."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.00690","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/2010.00690/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":"2010.00690","created_at":"2026-07-05T01:40:02.369419+00:00"},{"alias_kind":"arxiv_version","alias_value":"2010.00690v2","created_at":"2026-07-05T01:40:02.369419+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.00690","created_at":"2026-07-05T01:40:02.369419+00:00"},{"alias_kind":"pith_short_12","alias_value":"TMPUDVJ3CMHG","created_at":"2026-07-05T01:40:02.369419+00:00"},{"alias_kind":"pith_short_16","alias_value":"TMPUDVJ3CMHG2JJQ","created_at":"2026-07-05T01:40:02.369419+00:00"},{"alias_kind":"pith_short_8","alias_value":"TMPUDVJ3","created_at":"2026-07-05T01:40:02.369419+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2507.07632","citing_title":"Latent Space-Driven Quantification of Biofilm Formation using Time Resolved Droplet Microfluidics","ref_index":33,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/TMPUDVJ3CMHG2JJQT65ZE7Z6J5","json":"https://pith.science/pith/TMPUDVJ3CMHG2JJQT65ZE7Z6J5.json","graph_json":"https://pith.science/api/pith-number/TMPUDVJ3CMHG2JJQT65ZE7Z6J5/graph.json","events_json":"https://pith.science/api/pith-number/TMPUDVJ3CMHG2JJQT65ZE7Z6J5/events.json","paper":"https://pith.science/paper/TMPUDVJ3"},"agent_actions":{"view_html":"https://pith.science/pith/TMPUDVJ3CMHG2JJQT65ZE7Z6J5","download_json":"https://pith.science/pith/TMPUDVJ3CMHG2JJQT65ZE7Z6J5.json","view_paper":"https://pith.science/paper/TMPUDVJ3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2010.00690&json=true","fetch_graph":"https://pith.science/api/pith-number/TMPUDVJ3CMHG2JJQT65ZE7Z6J5/graph.json","fetch_events":"https://pith.science/api/pith-number/TMPUDVJ3CMHG2JJQT65ZE7Z6J5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TMPUDVJ3CMHG2JJQT65ZE7Z6J5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TMPUDVJ3CMHG2JJQT65ZE7Z6J5/action/storage_attestation","attest_author":"https://pith.science/pith/TMPUDVJ3CMHG2JJQT65ZE7Z6J5/action/author_attestation","sign_citation":"https://pith.science/pith/TMPUDVJ3CMHG2JJQT65ZE7Z6J5/action/citation_signature","submit_replication":"https://pith.science/pith/TMPUDVJ3CMHG2JJQT65ZE7Z6J5/action/replication_record"}},"created_at":"2026-07-05T01:40:02.369419+00:00","updated_at":"2026-07-05T01:40:02.369419+00:00"}