{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:UMFQ526JAVOVTDA4DYYADGODCH","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":"933e11bd3fb7dc1b976af9d4f0c135bcb326bc580d56a176e3c0416d4c1b2def","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-09-06T13:34:51Z","title_canon_sha256":"f4ce052f7d5324bb010d46247553c277d481b6d720d1f7277ffa0cc481c3c275"},"schema_version":"1.0","source":{"id":"1209.1274","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.1274","created_at":"2026-05-18T03:46:06Z"},{"alias_kind":"arxiv_version","alias_value":"1209.1274v1","created_at":"2026-05-18T03:46:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.1274","created_at":"2026-05-18T03:46:06Z"},{"alias_kind":"pith_short_12","alias_value":"UMFQ526JAVOV","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"UMFQ526JAVOVTDA4","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"UMFQ526J","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:b270b6057a650eda46a470bf76424cb2618d0161a2a60a7ebff3c6e96ef879b7","target":"graph","created_at":"2026-05-18T03:46:06Z","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":"Intermediately subcritical branching processes in random environment are at the borderline between two subcritical regimes and exhibit a particularly rich behavior. In this paper, we prove a functional limit theorem for these processes. It is discussed together with two other recently proved limit theorems for the intermediately subcritical case and illustrated by several computer simulations.","authors_text":"Christian B\\\"oinghoff, G\\\"otz Kersting","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-09-06T13:34:51Z","title":"Simulations and a conditional limit theorem for intermediately subcritical branching processes in random environment"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.1274","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":"sha256:75a995edd3cb7ddbb8e6e5ab2da01d06e4f4d57e6c2c9d7279657af2c68ac960","target":"record","created_at":"2026-05-18T03:46:06Z","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":"933e11bd3fb7dc1b976af9d4f0c135bcb326bc580d56a176e3c0416d4c1b2def","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-09-06T13:34:51Z","title_canon_sha256":"f4ce052f7d5324bb010d46247553c277d481b6d720d1f7277ffa0cc481c3c275"},"schema_version":"1.0","source":{"id":"1209.1274","kind":"arxiv","version":1}},"canonical_sha256":"a30b0eebc9055d598c1c1e300199c311c2a20900a7e62b50eefd30b3449b6202","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a30b0eebc9055d598c1c1e300199c311c2a20900a7e62b50eefd30b3449b6202","first_computed_at":"2026-05-18T03:46:06.046124Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:46:06.046124Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sGXoXMDSPOWWAKQuw+9USb4aZT1R5TsgchHFDn/0q91jiVdPh/RwhxhtWErEYqi8xe+qAl32t1b8VVZDe7WkDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:46:06.046582Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.1274","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:75a995edd3cb7ddbb8e6e5ab2da01d06e4f4d57e6c2c9d7279657af2c68ac960","sha256:b270b6057a650eda46a470bf76424cb2618d0161a2a60a7ebff3c6e96ef879b7"],"state_sha256":"0375bb9303259134eb8c248ba5d40fc1a17409689052a2cc4400dd056573d5f0"}