Pith Number

pith:CDBUTT4B

pith:2020:CDBUTT4BTIVPNT6H7TZ742A4KD

not attested not anchored not stored refs pending

Ergodic property for Galton-Watson processes in which individuals have variable life times

J.P. Li, J.R. Tan

arxiv:2006.16574 v2 · 2020-06-30 · 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{CDBUTT4BTIVPNT6H7TZ742A4KD}

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.

Cited by

1 paper in Pith

Ensemble Kalman Filter for Data Assimilation coupled with low-resolution computations techniques applied in Fluid Dynamics

Receipt and verification

First computed	2026-07-05T04:08:55.767046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10c349cf819a2af6cfc7fcf3fe681c50dd967f33f6f23317400212bced923679

Aliases

arxiv: 2006.16574 · arxiv_version: 2006.16574v2 · doi: 10.48550/arxiv.2006.16574 · pith_short_12: CDBUTT4BTIVP · pith_short_16: CDBUTT4BTIVPNT6H · pith_short_8: CDBUTT4B

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/CDBUTT4BTIVPNT6H7TZ742A4KD \
  | 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: 10c349cf819a2af6cfc7fcf3fe681c50dd967f33f6f23317400212bced923679

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7dd30088f541d12640bc3a700987be77eac0fb1eabf1a52a27022a8774d3102",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-06-30T07:23:00Z",
    "title_canon_sha256": "401730a0fb93017ebe2a731413b16d3e5bfa530a0970099f56f262af1f175eff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.16574",
    "kind": "arxiv",
    "version": 2
  }
}