{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:AKCJ7NOQ7ZM6FBJLXXT3ASTZS7","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"7105212cb549fc23670675b3c92ad2c92823c19eb8be0ca1742a15947aebbdd5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-08-02T12:39:07Z","title_canon_sha256":"14ec121eb7f6d8c336a33717895e3729f2f16a90f6d3a0657b89ad0c90082915"},"schema_version":"1.0","source":{"id":"1608.00792","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.00792","created_at":"2026-05-18T01:10:00Z"},{"alias_kind":"arxiv_version","alias_value":"1608.00792v1","created_at":"2026-05-18T01:10:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.00792","created_at":"2026-05-18T01:10:00Z"},{"alias_kind":"pith_short_12","alias_value":"AKCJ7NOQ7ZM6","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"AKCJ7NOQ7ZM6FBJL","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"AKCJ7NOQ","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:971034c520f2b6620e52b53f6fa5fc039e360b882c432831a81e8a209dd4b6ea","target":"graph","created_at":"2026-05-18T01:10:00Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We investigate in this work the spectrum of singularities of super-Brownian motion with stable branching. The main purpose is to provide a uniform description of the latter in high dimension $d\\geq\\tfrac{2}{\\gamma-1}$, presenting the singularities existing at every time t and characterising as well the set of random times at which singularities of higher order appear. In lower dimensions, we give a partial description of the singularities which complement the recent study of the density by Mytnik and Wachtel.","authors_text":"Leonid Mytnik, Paul Balan\\c{c}a","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-08-02T12:39:07Z","title":"Singularities of stable super-Brownian motion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.00792","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:40b7285559b2c3d69afd044fbaf6047f2dea2ba0f5f0e0db78bc831b60666b97","target":"record","created_at":"2026-05-18T01:10:00Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"7105212cb549fc23670675b3c92ad2c92823c19eb8be0ca1742a15947aebbdd5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-08-02T12:39:07Z","title_canon_sha256":"14ec121eb7f6d8c336a33717895e3729f2f16a90f6d3a0657b89ad0c90082915"},"schema_version":"1.0","source":{"id":"1608.00792","kind":"arxiv","version":1}},"canonical_sha256":"02849fb5d0fe59e2852bbde7b04a7997e285cd1b6384ec84c72e3d51e35a1bb2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"02849fb5d0fe59e2852bbde7b04a7997e285cd1b6384ec84c72e3d51e35a1bb2","first_computed_at":"2026-05-18T01:10:00.974281Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:10:00.974281Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PJLv2qpPAI3U3HjdCH87T1LNO3/NcucIRBTDPvCYMPOFRrpABsR0r3B73YiSBc0Ef8KK1h/SlSCI0alw9UU4Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:10:00.974799Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.00792","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:40b7285559b2c3d69afd044fbaf6047f2dea2ba0f5f0e0db78bc831b60666b97","sha256:971034c520f2b6620e52b53f6fa5fc039e360b882c432831a81e8a209dd4b6ea"],"state_sha256":"90702c2995469d35a7a13d3ccc395178855215d40cd78ae14a5d0bee8dac3dec"}