{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:7VISEYKN54HYCBVNEOR57VRYGT","short_pith_number":"pith:7VISEYKN","schema_version":"1.0","canonical_sha256":"fd5122614def0f8106ad23a3dfd63834e08d6366aa8b7062e67e29ab003a754e","source":{"kind":"arxiv","id":"1308.2701","version":2},"attestation_state":"computed","paper":{"title":"Intersection local times, loop soups and permanental Wick powers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Jay Rosen, Michael B. Marcus, Yves Le Jan","submitted_at":"2013-08-12T21:17:37Z","abstract_excerpt":"Several stochastic processes related to transient L\\'evy processes with potential densities $u(x,y)=u(y-x)$, that need not be symmetric nor bounded on the diagonal, are defined and studied.\n  They are real valued processes on a space of measures $V$ endowed with a metric $d$. Sufficient conditions are obtained for the continuity of these processes on $(V,d)$. The processes include $n$-fold self-intersection local times of transient L\\'evy processes and permanental chaoses, which are `loop soup $n$-fold self-intersection local times' constructed from the loop soup of the L\\'evy process. Loop so"},"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":"1308.2701","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-08-12T21:17:37Z","cross_cats_sorted":[],"title_canon_sha256":"8959e9d842d9273762e83879de4538575e779c39ba68819bcdb5e49ef55082aa","abstract_canon_sha256":"9ae38f1f86071ef0cd2f2be276c8c357cc8b5d147f124f5f0f597bb462dc7e0e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:07:43.068547Z","signature_b64":"QdUMnrz7n+lresdMRozY1hQ9RD4P9Hcbo1aaTXa+guiepWAjsF+/mmw5CKK0XJsZsQp58WvZidPh9GewQiMjCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fd5122614def0f8106ad23a3dfd63834e08d6366aa8b7062e67e29ab003a754e","last_reissued_at":"2026-05-18T03:07:43.067957Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:07:43.067957Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Intersection local times, loop soups and permanental Wick powers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Jay Rosen, Michael B. Marcus, Yves Le Jan","submitted_at":"2013-08-12T21:17:37Z","abstract_excerpt":"Several stochastic processes related to transient L\\'evy processes with potential densities $u(x,y)=u(y-x)$, that need not be symmetric nor bounded on the diagonal, are defined and studied.\n  They are real valued processes on a space of measures $V$ endowed with a metric $d$. Sufficient conditions are obtained for the continuity of these processes on $(V,d)$. The processes include $n$-fold self-intersection local times of transient L\\'evy processes and permanental chaoses, which are `loop soup $n$-fold self-intersection local times' constructed from the loop soup of the L\\'evy process. Loop so"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.2701","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":""},"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":"1308.2701","created_at":"2026-05-18T03:07:43.068044+00:00"},{"alias_kind":"arxiv_version","alias_value":"1308.2701v2","created_at":"2026-05-18T03:07:43.068044+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.2701","created_at":"2026-05-18T03:07:43.068044+00:00"},{"alias_kind":"pith_short_12","alias_value":"7VISEYKN54HY","created_at":"2026-05-18T12:27:38.830355+00:00"},{"alias_kind":"pith_short_16","alias_value":"7VISEYKN54HYCBVN","created_at":"2026-05-18T12:27:38.830355+00:00"},{"alias_kind":"pith_short_8","alias_value":"7VISEYKN","created_at":"2026-05-18T12:27:38.830355+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/7VISEYKN54HYCBVNEOR57VRYGT","json":"https://pith.science/pith/7VISEYKN54HYCBVNEOR57VRYGT.json","graph_json":"https://pith.science/api/pith-number/7VISEYKN54HYCBVNEOR57VRYGT/graph.json","events_json":"https://pith.science/api/pith-number/7VISEYKN54HYCBVNEOR57VRYGT/events.json","paper":"https://pith.science/paper/7VISEYKN"},"agent_actions":{"view_html":"https://pith.science/pith/7VISEYKN54HYCBVNEOR57VRYGT","download_json":"https://pith.science/pith/7VISEYKN54HYCBVNEOR57VRYGT.json","view_paper":"https://pith.science/paper/7VISEYKN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1308.2701&json=true","fetch_graph":"https://pith.science/api/pith-number/7VISEYKN54HYCBVNEOR57VRYGT/graph.json","fetch_events":"https://pith.science/api/pith-number/7VISEYKN54HYCBVNEOR57VRYGT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7VISEYKN54HYCBVNEOR57VRYGT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7VISEYKN54HYCBVNEOR57VRYGT/action/storage_attestation","attest_author":"https://pith.science/pith/7VISEYKN54HYCBVNEOR57VRYGT/action/author_attestation","sign_citation":"https://pith.science/pith/7VISEYKN54HYCBVNEOR57VRYGT/action/citation_signature","submit_replication":"https://pith.science/pith/7VISEYKN54HYCBVNEOR57VRYGT/action/replication_record"}},"created_at":"2026-05-18T03:07:43.068044+00:00","updated_at":"2026-05-18T03:07:43.068044+00:00"}