{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1992:RDY2WPUB2HSGZINZZJKQW2UIQS","short_pith_number":"pith:RDY2WPUB","schema_version":"1.0","canonical_sha256":"88f1ab3e81d1e46ca1b9ca550b6a8884aa517e8a8c24cc34d01b8d903904f159","source":{"kind":"arxiv","id":"math/9204224","version":1},"attestation_state":"computed","paper":{"title":"A general correspondence between Dirichlet forms and right processes","license":"","headline":"","cross_cats":["math.PR"],"primary_cat":"math.CV","authors_text":"Sergio Albeverio, Zhi-Ming Ma","submitted_at":"1992-04-01T00:00:00Z","abstract_excerpt":"The theory of Dirichlet forms as originated by Beurling-Deny and developed particularly by Fukushima and Silverstein, is a natural functional analytic extension of classical (and axiomatic) potential theory. Although some parts of it have abstract measure theoretic versions, the basic general construction of a Hunt process properly associated with the form, obtained by Fukushima and Silverstein, requires the form to be defined on a locally compact separable space with a Radon measure $m$ and the form to be regular (in the sense of the continuous functions of compact support being dense in the "},"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":"math/9204224","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.CV","submitted_at":"1992-04-01T00:00:00Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"a8e0165a2a02d47d4667805288e7a3d1f4d121dbed131df7bf2199f354f28cb7","abstract_canon_sha256":"3435a0e0ff5ffeb078b722c496bae588b365ab2be54d610fcbbcda9ff4fb2412"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:52.878976Z","signature_b64":"08hOSfsQcwp6/w7auqQr1OCrcyv7Q/yAj1buAG9NFedDonY/2TaV4fmScQJtFZs/FdCUpnRupTYOUUNOIJw5Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"88f1ab3e81d1e46ca1b9ca550b6a8884aa517e8a8c24cc34d01b8d903904f159","last_reissued_at":"2026-05-18T01:05:52.878481Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:52.878481Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A general correspondence between Dirichlet forms and right processes","license":"","headline":"","cross_cats":["math.PR"],"primary_cat":"math.CV","authors_text":"Sergio Albeverio, Zhi-Ming Ma","submitted_at":"1992-04-01T00:00:00Z","abstract_excerpt":"The theory of Dirichlet forms as originated by Beurling-Deny and developed particularly by Fukushima and Silverstein, is a natural functional analytic extension of classical (and axiomatic) potential theory. Although some parts of it have abstract measure theoretic versions, the basic general construction of a Hunt process properly associated with the form, obtained by Fukushima and Silverstein, requires the form to be defined on a locally compact separable space with a Radon measure $m$ and the form to be regular (in the sense of the continuous functions of compact support being dense in the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9204224","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":"math/9204224","created_at":"2026-05-18T01:05:52.878556+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/9204224v1","created_at":"2026-05-18T01:05:52.878556+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9204224","created_at":"2026-05-18T01:05:52.878556+00:00"},{"alias_kind":"pith_short_12","alias_value":"RDY2WPUB2HSG","created_at":"2026-05-18T12:25:47.102015+00:00"},{"alias_kind":"pith_short_16","alias_value":"RDY2WPUB2HSGZINZ","created_at":"2026-05-18T12:25:47.102015+00:00"},{"alias_kind":"pith_short_8","alias_value":"RDY2WPUB","created_at":"2026-05-18T12:25:47.102015+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/RDY2WPUB2HSGZINZZJKQW2UIQS","json":"https://pith.science/pith/RDY2WPUB2HSGZINZZJKQW2UIQS.json","graph_json":"https://pith.science/api/pith-number/RDY2WPUB2HSGZINZZJKQW2UIQS/graph.json","events_json":"https://pith.science/api/pith-number/RDY2WPUB2HSGZINZZJKQW2UIQS/events.json","paper":"https://pith.science/paper/RDY2WPUB"},"agent_actions":{"view_html":"https://pith.science/pith/RDY2WPUB2HSGZINZZJKQW2UIQS","download_json":"https://pith.science/pith/RDY2WPUB2HSGZINZZJKQW2UIQS.json","view_paper":"https://pith.science/paper/RDY2WPUB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/9204224&json=true","fetch_graph":"https://pith.science/api/pith-number/RDY2WPUB2HSGZINZZJKQW2UIQS/graph.json","fetch_events":"https://pith.science/api/pith-number/RDY2WPUB2HSGZINZZJKQW2UIQS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RDY2WPUB2HSGZINZZJKQW2UIQS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RDY2WPUB2HSGZINZZJKQW2UIQS/action/storage_attestation","attest_author":"https://pith.science/pith/RDY2WPUB2HSGZINZZJKQW2UIQS/action/author_attestation","sign_citation":"https://pith.science/pith/RDY2WPUB2HSGZINZZJKQW2UIQS/action/citation_signature","submit_replication":"https://pith.science/pith/RDY2WPUB2HSGZINZZJKQW2UIQS/action/replication_record"}},"created_at":"2026-05-18T01:05:52.878556+00:00","updated_at":"2026-05-18T01:05:52.878556+00:00"}