Pith Number

pith:IHCX6V7G

pith:2019:IHCX6V7GSST4ILRI55JMZOFMGX

not attested not anchored not stored refs pending

Survival probability for a class of multitype subcritical branching processes in random environment

Elena Dyakonova, Vladimir Vatutin

arxiv:1903.12491 v1 · 2019-03-29 · 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{IHCX6V7GSST4ILRI55JMZOFMGX}

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	2026-05-17T23:49:53.905790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41c57f57e694a7c42e28ef52ccb8ac35df4afef3257dacc2398f55e80ff33d15

Aliases

arxiv: 1903.12491 · arxiv_version: 1903.12491v1 · doi: 10.48550/arxiv.1903.12491 · pith_short_12: IHCX6V7GSST4 · pith_short_16: IHCX6V7GSST4ILRI · pith_short_8: IHCX6V7G

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/IHCX6V7GSST4ILRI55JMZOFMGX \
  | 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: 41c57f57e694a7c42e28ef52ccb8ac35df4afef3257dacc2398f55e80ff33d15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cae7925f279173a5fa915e0b33c0aca038dab49b87c29fa931e1190d7f3a16df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-03-29T12:51:57Z",
    "title_canon_sha256": "486b39f9bede5963d1abfa29df88bf30c6f465a8e925904ffaf74ee88a45386f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.12491",
    "kind": "arxiv",
    "version": 1
  }
}