{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:2TRSXFLBQIUGFKMKUJPF4P5JUG","short_pith_number":"pith:2TRSXFLB","schema_version":"1.0","canonical_sha256":"d4e32b9561822862a98aa25e5e3fa9a18636dac092c6f6569270d51861ed2d61","source":{"kind":"arxiv","id":"1703.09192","version":1},"attestation_state":"computed","paper":{"title":"Precise tail behaviour of self-similar profiles with infinite mass for Smoluchowski's coagulation equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Sebastian Throm","submitted_at":"2017-03-27T17:24:49Z","abstract_excerpt":"We consider self-similar profiles to Smoluchowski's coagulation equation for which we derive the precise asymptotic behaviour at infinity. More precisely, we look at so-called fat-tailed profiles which decay algebraically and as a consequence have infinite total mass. The results only require mild assumptions on the coagulation kernel and thus cover a large class of rate kernels."},"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":"1703.09192","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-03-27T17:24:49Z","cross_cats_sorted":[],"title_canon_sha256":"b3960978cde759cdaece693f7e91c3f96d8dc074471c14a4c8feb01fe08d9fd6","abstract_canon_sha256":"acbc30a3adf880a23dfa600bcfb6136c3a20216e43206224d7358ba4cdb521df"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:19:30.810841Z","signature_b64":"m5ocakeA5ETkcG05A2SHcgf29MnDZSvt692R2/JRZwy0ILyjpIucP5p0Cm6NyoJD4Pe5xbBfx/aOuNf+wjgZDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d4e32b9561822862a98aa25e5e3fa9a18636dac092c6f6569270d51861ed2d61","last_reissued_at":"2026-05-18T00:19:30.810023Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:19:30.810023Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Precise tail behaviour of self-similar profiles with infinite mass for Smoluchowski's coagulation equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Sebastian Throm","submitted_at":"2017-03-27T17:24:49Z","abstract_excerpt":"We consider self-similar profiles to Smoluchowski's coagulation equation for which we derive the precise asymptotic behaviour at infinity. More precisely, we look at so-called fat-tailed profiles which decay algebraically and as a consequence have infinite total mass. The results only require mild assumptions on the coagulation kernel and thus cover a large class of rate kernels."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.09192","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":"1703.09192","created_at":"2026-05-18T00:19:30.810164+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.09192v1","created_at":"2026-05-18T00:19:30.810164+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.09192","created_at":"2026-05-18T00:19:30.810164+00:00"},{"alias_kind":"pith_short_12","alias_value":"2TRSXFLBQIUG","created_at":"2026-05-18T12:30:55.937587+00:00"},{"alias_kind":"pith_short_16","alias_value":"2TRSXFLBQIUGFKMK","created_at":"2026-05-18T12:30:55.937587+00:00"},{"alias_kind":"pith_short_8","alias_value":"2TRSXFLB","created_at":"2026-05-18T12:30:55.937587+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/2TRSXFLBQIUGFKMKUJPF4P5JUG","json":"https://pith.science/pith/2TRSXFLBQIUGFKMKUJPF4P5JUG.json","graph_json":"https://pith.science/api/pith-number/2TRSXFLBQIUGFKMKUJPF4P5JUG/graph.json","events_json":"https://pith.science/api/pith-number/2TRSXFLBQIUGFKMKUJPF4P5JUG/events.json","paper":"https://pith.science/paper/2TRSXFLB"},"agent_actions":{"view_html":"https://pith.science/pith/2TRSXFLBQIUGFKMKUJPF4P5JUG","download_json":"https://pith.science/pith/2TRSXFLBQIUGFKMKUJPF4P5JUG.json","view_paper":"https://pith.science/paper/2TRSXFLB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.09192&json=true","fetch_graph":"https://pith.science/api/pith-number/2TRSXFLBQIUGFKMKUJPF4P5JUG/graph.json","fetch_events":"https://pith.science/api/pith-number/2TRSXFLBQIUGFKMKUJPF4P5JUG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2TRSXFLBQIUGFKMKUJPF4P5JUG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2TRSXFLBQIUGFKMKUJPF4P5JUG/action/storage_attestation","attest_author":"https://pith.science/pith/2TRSXFLBQIUGFKMKUJPF4P5JUG/action/author_attestation","sign_citation":"https://pith.science/pith/2TRSXFLBQIUGFKMKUJPF4P5JUG/action/citation_signature","submit_replication":"https://pith.science/pith/2TRSXFLBQIUGFKMKUJPF4P5JUG/action/replication_record"}},"created_at":"2026-05-18T00:19:30.810164+00:00","updated_at":"2026-05-18T00:19:30.810164+00:00"}