Pith Number

pith:NAHC7UNC

pith:2011:NAHC7UNCJ2YSBG4R6YW67I3FZP

not attested not anchored not stored refs pending

Conditional limit theorems for intermediately subcritical branching processes in random environment

Christian B\"oinghoff, G\"otz Kersting, Valeriy Afanasyev, Vladimir Vatutin

arxiv:1108.2127 v1 · 2011-08-10 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NAHC7UNCJ2YSBG4R6YW67I3FZP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:15:49.295786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

680e2fd1a24eb1209b91f62defa365cbec0d4fdeb75296f7a1c973b2b15501a4

Aliases

arxiv: 1108.2127 · arxiv_version: 1108.2127v1 · doi: 10.48550/arxiv.1108.2127 · pith_short_12: NAHC7UNCJ2YS · pith_short_16: NAHC7UNCJ2YSBG4R · pith_short_8: NAHC7UNC

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/NAHC7UNCJ2YSBG4R6YW67I3FZP \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 680e2fd1a24eb1209b91f62defa365cbec0d4fdeb75296f7a1c973b2b15501a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0f51109d9474d97cd50fee1cbc6fb1576245112ab89cdc9e668b4103750f973",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-08-10T08:50:58Z",
    "title_canon_sha256": "d35646af32cb7e8944e0c4662bf6afeeacff5394fcb530bc7b156f79109f1717"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2127",
    "kind": "arxiv",
    "version": 1
  }
}