{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:SYAQDI3ZCIDAYGZSFIEBNVNADC","short_pith_number":"pith:SYAQDI3Z","schema_version":"1.0","canonical_sha256":"960101a37912060c1b322a0816d5a018b76c2c14176568ef19822ab720313849","source":{"kind":"arxiv","id":"1703.08335","version":1},"attestation_state":"computed","paper":{"title":"Uniqueness of Weak Solutions to a Prion Equation with Polymer Joining","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Christoph Walker, Elena Leis","submitted_at":"2017-03-24T10:01:24Z","abstract_excerpt":"We consider a model for prion proliferation that includes prion polymerization, polymer splitting, and polymer joining. The model consists of an ordinary differential equation for the prion monomers and a hyperbolic nonlinear differential equation with integral terms for the prion polymers and was shown to possess global weak solutions for unbounded reaction rates [11]. Here we prove the uniqueness of weak solutions."},"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":"1703.08335","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-03-24T10:01:24Z","cross_cats_sorted":[],"title_canon_sha256":"8e26622bd0b0d554cf3e67c1055695e302eb7de9f1200c2fff65bfee7e18c530","abstract_canon_sha256":"30fe0b89c10c6f1fe157d769da93cd063d49da0dbebda4361701dc9d32de7c63"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:48:00.130818Z","signature_b64":"tz8LG6xBDstXInmmLGFZ1mun6niVKl0d15wsxKdxmhSSUf+JRcMiaeR7bDhslnqw5pZa6u0DTTRZV6kaSvXuAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"960101a37912060c1b322a0816d5a018b76c2c14176568ef19822ab720313849","last_reissued_at":"2026-05-18T00:48:00.130391Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:48:00.130391Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Uniqueness of Weak Solutions to a Prion Equation with Polymer Joining","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Christoph Walker, Elena Leis","submitted_at":"2017-03-24T10:01:24Z","abstract_excerpt":"We consider a model for prion proliferation that includes prion polymerization, polymer splitting, and polymer joining. The model consists of an ordinary differential equation for the prion monomers and a hyperbolic nonlinear differential equation with integral terms for the prion polymers and was shown to possess global weak solutions for unbounded reaction rates [11]. Here we prove the uniqueness of weak solutions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.08335","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":""},"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":"1703.08335","created_at":"2026-05-18T00:48:00.130457+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.08335v1","created_at":"2026-05-18T00:48:00.130457+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.08335","created_at":"2026-05-18T00:48:00.130457+00:00"},{"alias_kind":"pith_short_12","alias_value":"SYAQDI3ZCIDA","created_at":"2026-05-18T12:31:43.269735+00:00"},{"alias_kind":"pith_short_16","alias_value":"SYAQDI3ZCIDAYGZS","created_at":"2026-05-18T12:31:43.269735+00:00"},{"alias_kind":"pith_short_8","alias_value":"SYAQDI3Z","created_at":"2026-05-18T12:31:43.269735+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/SYAQDI3ZCIDAYGZSFIEBNVNADC","json":"https://pith.science/pith/SYAQDI3ZCIDAYGZSFIEBNVNADC.json","graph_json":"https://pith.science/api/pith-number/SYAQDI3ZCIDAYGZSFIEBNVNADC/graph.json","events_json":"https://pith.science/api/pith-number/SYAQDI3ZCIDAYGZSFIEBNVNADC/events.json","paper":"https://pith.science/paper/SYAQDI3Z"},"agent_actions":{"view_html":"https://pith.science/pith/SYAQDI3ZCIDAYGZSFIEBNVNADC","download_json":"https://pith.science/pith/SYAQDI3ZCIDAYGZSFIEBNVNADC.json","view_paper":"https://pith.science/paper/SYAQDI3Z","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.08335&json=true","fetch_graph":"https://pith.science/api/pith-number/SYAQDI3ZCIDAYGZSFIEBNVNADC/graph.json","fetch_events":"https://pith.science/api/pith-number/SYAQDI3ZCIDAYGZSFIEBNVNADC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SYAQDI3ZCIDAYGZSFIEBNVNADC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SYAQDI3ZCIDAYGZSFIEBNVNADC/action/storage_attestation","attest_author":"https://pith.science/pith/SYAQDI3ZCIDAYGZSFIEBNVNADC/action/author_attestation","sign_citation":"https://pith.science/pith/SYAQDI3ZCIDAYGZSFIEBNVNADC/action/citation_signature","submit_replication":"https://pith.science/pith/SYAQDI3ZCIDAYGZSFIEBNVNADC/action/replication_record"}},"created_at":"2026-05-18T00:48:00.130457+00:00","updated_at":"2026-05-18T00:48:00.130457+00:00"}