{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:DELDVENZACX7LG4PHFRDRGLAMY","short_pith_number":"pith:DELDVENZ","schema_version":"1.0","canonical_sha256":"19163a91b900aff59b8f396238996066058353f2e92b2a48c46097f238226c4a","source":{"kind":"arxiv","id":"1403.3486","version":3},"attestation_state":"computed","paper":{"title":"Intrinsic Ultracontractivity of Feynman-Kac Semigroups for Symmetric Jump Processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Jian Wang, Xin Chen","submitted_at":"2014-03-14T05:26:26Z","abstract_excerpt":"Consider the symmetric non-local Dirichlet form $(D,\\D(D))$ given by $$ D(f,f)=\\int_{\\R^d}\\int_{\\R^d}\\big(f(x)-f(y)\\big)^2 J(x,y)\\,dx\\,dy $$with $\\D(D)$ the closure of the set of $C^1$ functions on $\\R^d$ with compact support under the norm $\\sqrt{D_1(f,f)}$, where $D_1(f,f):=D(f,f)+\\int f^2(x)\\,dx$ and $J(x,y)$ is a nonnegative symmetric measurable function on $\\R^d\\times \\R^d$. Suppose that there is a Hunt process $(X_t)_{t\\ge 0}$ on $\\R^d$ corresponding to $(D,\\D(D))$, and that $(L,\\D(L))$ is its infinitesimal generator. We study the intrinsic ultracontractivity for the Feynman-Kac semigrou"},"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":"1403.3486","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-03-14T05:26:26Z","cross_cats_sorted":[],"title_canon_sha256":"88cb0938c6a1eebd8d52874112878e0722a73bcc498fe34a33013b662e77f8a5","abstract_canon_sha256":"b9950a2c80cebc5163b94cb0bfcd88ab945fbed0d0df33d0fc9975707eeb8ad9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:28:47.993996Z","signature_b64":"E9LVSJH5cUaaE5p6Yf7E8mkFWrlrmAHJt4I5UNGhW3+EvD1qA10iQuNSB1TgbAXA262cH3QLDpTbVqvrVXNVCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"19163a91b900aff59b8f396238996066058353f2e92b2a48c46097f238226c4a","last_reissued_at":"2026-05-18T02:28:47.993628Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:28:47.993628Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Intrinsic Ultracontractivity of Feynman-Kac Semigroups for Symmetric Jump Processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Jian Wang, Xin Chen","submitted_at":"2014-03-14T05:26:26Z","abstract_excerpt":"Consider the symmetric non-local Dirichlet form $(D,\\D(D))$ given by $$ D(f,f)=\\int_{\\R^d}\\int_{\\R^d}\\big(f(x)-f(y)\\big)^2 J(x,y)\\,dx\\,dy $$with $\\D(D)$ the closure of the set of $C^1$ functions on $\\R^d$ with compact support under the norm $\\sqrt{D_1(f,f)}$, where $D_1(f,f):=D(f,f)+\\int f^2(x)\\,dx$ and $J(x,y)$ is a nonnegative symmetric measurable function on $\\R^d\\times \\R^d$. Suppose that there is a Hunt process $(X_t)_{t\\ge 0}$ on $\\R^d$ corresponding to $(D,\\D(D))$, and that $(L,\\D(L))$ is its infinitesimal generator. We study the intrinsic ultracontractivity for the Feynman-Kac semigrou"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.3486","kind":"arxiv","version":3},"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":"1403.3486","created_at":"2026-05-18T02:28:47.993683+00:00"},{"alias_kind":"arxiv_version","alias_value":"1403.3486v3","created_at":"2026-05-18T02:28:47.993683+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.3486","created_at":"2026-05-18T02:28:47.993683+00:00"},{"alias_kind":"pith_short_12","alias_value":"DELDVENZACX7","created_at":"2026-05-18T12:28:25.294606+00:00"},{"alias_kind":"pith_short_16","alias_value":"DELDVENZACX7LG4P","created_at":"2026-05-18T12:28:25.294606+00:00"},{"alias_kind":"pith_short_8","alias_value":"DELDVENZ","created_at":"2026-05-18T12:28:25.294606+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/DELDVENZACX7LG4PHFRDRGLAMY","json":"https://pith.science/pith/DELDVENZACX7LG4PHFRDRGLAMY.json","graph_json":"https://pith.science/api/pith-number/DELDVENZACX7LG4PHFRDRGLAMY/graph.json","events_json":"https://pith.science/api/pith-number/DELDVENZACX7LG4PHFRDRGLAMY/events.json","paper":"https://pith.science/paper/DELDVENZ"},"agent_actions":{"view_html":"https://pith.science/pith/DELDVENZACX7LG4PHFRDRGLAMY","download_json":"https://pith.science/pith/DELDVENZACX7LG4PHFRDRGLAMY.json","view_paper":"https://pith.science/paper/DELDVENZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1403.3486&json=true","fetch_graph":"https://pith.science/api/pith-number/DELDVENZACX7LG4PHFRDRGLAMY/graph.json","fetch_events":"https://pith.science/api/pith-number/DELDVENZACX7LG4PHFRDRGLAMY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DELDVENZACX7LG4PHFRDRGLAMY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DELDVENZACX7LG4PHFRDRGLAMY/action/storage_attestation","attest_author":"https://pith.science/pith/DELDVENZACX7LG4PHFRDRGLAMY/action/author_attestation","sign_citation":"https://pith.science/pith/DELDVENZACX7LG4PHFRDRGLAMY/action/citation_signature","submit_replication":"https://pith.science/pith/DELDVENZACX7LG4PHFRDRGLAMY/action/replication_record"}},"created_at":"2026-05-18T02:28:47.993683+00:00","updated_at":"2026-05-18T02:28:47.993683+00:00"}