{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:E7B4E6SIHSOID2YGKKIEY54XK7","short_pith_number":"pith:E7B4E6SI","schema_version":"1.0","canonical_sha256":"27c3c27a483c9c81eb0652904c779757f7a825a5aeeb2ad41df59d966d7f0faf","source":{"kind":"arxiv","id":"1507.08759","version":1},"attestation_state":"computed","paper":{"title":"Measure-valued discrete branching Markov processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Lucian Beznea, Oana Lupascu","submitted_at":"2015-07-31T05:58:17Z","abstract_excerpt":"We construct and study branching Markov processes on the space of finite configurations of the state space of a given standard process, controlled by a branching kernel and a killing one. In particular, we may start with a superprocess, obtaining a branching process with state space the finite configurations of positive finite measures on a topological space. A main tool in proving the path regularity of the branching process is the existence of convenient superharmonic functions having compact level sets, allowing the use of appropriate potential theoretical methods."},"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":"1507.08759","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-07-31T05:58:17Z","cross_cats_sorted":[],"title_canon_sha256":"ee1b403d2c4b263e1463ffa58341e5dcb3ebeff1ec7d249bab72f9bf1f04b1e8","abstract_canon_sha256":"10ed3b6b0d342a96d92390b511c6ee2a3e304003d50bce520e4ab11230883851"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:36:02.903467Z","signature_b64":"pbTcD02Ucv5XfQCAfPgHlAkDiiOwFPuTH8DHqaJ6KGwFkNU2T9yRoaypLGgjNIUWWjG5z4lazRg3vlpggx3vDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"27c3c27a483c9c81eb0652904c779757f7a825a5aeeb2ad41df59d966d7f0faf","last_reissued_at":"2026-05-18T01:36:02.902933Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:36:02.902933Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Measure-valued discrete branching Markov processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Lucian Beznea, Oana Lupascu","submitted_at":"2015-07-31T05:58:17Z","abstract_excerpt":"We construct and study branching Markov processes on the space of finite configurations of the state space of a given standard process, controlled by a branching kernel and a killing one. In particular, we may start with a superprocess, obtaining a branching process with state space the finite configurations of positive finite measures on a topological space. A main tool in proving the path regularity of the branching process is the existence of convenient superharmonic functions having compact level sets, allowing the use of appropriate potential theoretical methods."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.08759","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":"1507.08759","created_at":"2026-05-18T01:36:02.903027+00:00"},{"alias_kind":"arxiv_version","alias_value":"1507.08759v1","created_at":"2026-05-18T01:36:02.903027+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.08759","created_at":"2026-05-18T01:36:02.903027+00:00"},{"alias_kind":"pith_short_12","alias_value":"E7B4E6SIHSOI","created_at":"2026-05-18T12:29:19.899920+00:00"},{"alias_kind":"pith_short_16","alias_value":"E7B4E6SIHSOID2YG","created_at":"2026-05-18T12:29:19.899920+00:00"},{"alias_kind":"pith_short_8","alias_value":"E7B4E6SI","created_at":"2026-05-18T12:29:19.899920+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/E7B4E6SIHSOID2YGKKIEY54XK7","json":"https://pith.science/pith/E7B4E6SIHSOID2YGKKIEY54XK7.json","graph_json":"https://pith.science/api/pith-number/E7B4E6SIHSOID2YGKKIEY54XK7/graph.json","events_json":"https://pith.science/api/pith-number/E7B4E6SIHSOID2YGKKIEY54XK7/events.json","paper":"https://pith.science/paper/E7B4E6SI"},"agent_actions":{"view_html":"https://pith.science/pith/E7B4E6SIHSOID2YGKKIEY54XK7","download_json":"https://pith.science/pith/E7B4E6SIHSOID2YGKKIEY54XK7.json","view_paper":"https://pith.science/paper/E7B4E6SI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1507.08759&json=true","fetch_graph":"https://pith.science/api/pith-number/E7B4E6SIHSOID2YGKKIEY54XK7/graph.json","fetch_events":"https://pith.science/api/pith-number/E7B4E6SIHSOID2YGKKIEY54XK7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/E7B4E6SIHSOID2YGKKIEY54XK7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/E7B4E6SIHSOID2YGKKIEY54XK7/action/storage_attestation","attest_author":"https://pith.science/pith/E7B4E6SIHSOID2YGKKIEY54XK7/action/author_attestation","sign_citation":"https://pith.science/pith/E7B4E6SIHSOID2YGKKIEY54XK7/action/citation_signature","submit_replication":"https://pith.science/pith/E7B4E6SIHSOID2YGKKIEY54XK7/action/replication_record"}},"created_at":"2026-05-18T01:36:02.903027+00:00","updated_at":"2026-05-18T01:36:02.903027+00:00"}