{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:PUCGYK2MMB4P2Q4NM6EMCJJ2QB","short_pith_number":"pith:PUCGYK2M","schema_version":"1.0","canonical_sha256":"7d046c2b4c6078fd438d6788c1253a8043293d1aa1f03c88cf294a24f6df0601","source":{"kind":"arxiv","id":"math/0606621","version":1},"attestation_state":"computed","paper":{"title":"Superprocesses with Coalescing Brownian Spatial Motion as Large-Scale Limits","license":"","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Donald A. Dawson, Xiaowen Zhou, Zenghu Li","submitted_at":"2006-06-24T12:30:11Z","abstract_excerpt":"A superprocess with coalescing spatial motion is constructed in terms of one-dimensional excursions. Based on this construction, it is proved that the superprocess is purely atomic and arises as scaling limit of a special form of the superprocess with dependent spatial motion studied in Dawson {\\it et al.} (2001) and Wang (1997, 1998)."},"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/0606621","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.PR","submitted_at":"2006-06-24T12:30:11Z","cross_cats_sorted":[],"title_canon_sha256":"cf74fadb9e14e4e7eaebac20ee87ba2f769c4a69a2d8d49e12da01c6af34b431","abstract_canon_sha256":"80a7011cb7390615db9565b3f27364ef6e3fd7e1b4933b165fc8372925b8c967"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:28:28.074725Z","signature_b64":"doJU3UPN3nwLYw4no6CCRADAVw6bodwbjKr06ccxj+CVv3Zq9LGnozF7UkQlIcIsvH7ZUE9438tKBLPMbPW2AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7d046c2b4c6078fd438d6788c1253a8043293d1aa1f03c88cf294a24f6df0601","last_reissued_at":"2026-05-18T04:28:28.074141Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:28:28.074141Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Superprocesses with Coalescing Brownian Spatial Motion as Large-Scale Limits","license":"","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Donald A. Dawson, Xiaowen Zhou, Zenghu Li","submitted_at":"2006-06-24T12:30:11Z","abstract_excerpt":"A superprocess with coalescing spatial motion is constructed in terms of one-dimensional excursions. Based on this construction, it is proved that the superprocess is purely atomic and arises as scaling limit of a special form of the superprocess with dependent spatial motion studied in Dawson {\\it et al.} (2001) and Wang (1997, 1998)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0606621","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/0606621","created_at":"2026-05-18T04:28:28.074218+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0606621v1","created_at":"2026-05-18T04:28:28.074218+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0606621","created_at":"2026-05-18T04:28:28.074218+00:00"},{"alias_kind":"pith_short_12","alias_value":"PUCGYK2MMB4P","created_at":"2026-05-18T12:25:54.717736+00:00"},{"alias_kind":"pith_short_16","alias_value":"PUCGYK2MMB4P2Q4N","created_at":"2026-05-18T12:25:54.717736+00:00"},{"alias_kind":"pith_short_8","alias_value":"PUCGYK2M","created_at":"2026-05-18T12:25:54.717736+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/PUCGYK2MMB4P2Q4NM6EMCJJ2QB","json":"https://pith.science/pith/PUCGYK2MMB4P2Q4NM6EMCJJ2QB.json","graph_json":"https://pith.science/api/pith-number/PUCGYK2MMB4P2Q4NM6EMCJJ2QB/graph.json","events_json":"https://pith.science/api/pith-number/PUCGYK2MMB4P2Q4NM6EMCJJ2QB/events.json","paper":"https://pith.science/paper/PUCGYK2M"},"agent_actions":{"view_html":"https://pith.science/pith/PUCGYK2MMB4P2Q4NM6EMCJJ2QB","download_json":"https://pith.science/pith/PUCGYK2MMB4P2Q4NM6EMCJJ2QB.json","view_paper":"https://pith.science/paper/PUCGYK2M","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0606621&json=true","fetch_graph":"https://pith.science/api/pith-number/PUCGYK2MMB4P2Q4NM6EMCJJ2QB/graph.json","fetch_events":"https://pith.science/api/pith-number/PUCGYK2MMB4P2Q4NM6EMCJJ2QB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PUCGYK2MMB4P2Q4NM6EMCJJ2QB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PUCGYK2MMB4P2Q4NM6EMCJJ2QB/action/storage_attestation","attest_author":"https://pith.science/pith/PUCGYK2MMB4P2Q4NM6EMCJJ2QB/action/author_attestation","sign_citation":"https://pith.science/pith/PUCGYK2MMB4P2Q4NM6EMCJJ2QB/action/citation_signature","submit_replication":"https://pith.science/pith/PUCGYK2MMB4P2Q4NM6EMCJJ2QB/action/replication_record"}},"created_at":"2026-05-18T04:28:28.074218+00:00","updated_at":"2026-05-18T04:28:28.074218+00:00"}