Pith Number

pith:ME4KMDSU

pith:2014:ME4KMDSURICIJZMNBAQQVD7KCB

not attested not anchored not stored refs pending

Central Limit Theorems for Supercritical Branching Nonsymmetric Markov Processes

Renming Song, Rui Zhang, Yan-Xia Ren

arxiv:1404.0116 v1 · 2014-04-01 · 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{ME4KMDSURICIJZMNBAQQVD7KCB}

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	2026-05-18T02:55:05.088325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6138a60e548a0484e58d08210a8fea106608c3cd969b6db3e6474777772a7d1a

Aliases

arxiv: 1404.0116 · arxiv_version: 1404.0116v1 · doi: 10.48550/arxiv.1404.0116 · pith_short_12: ME4KMDSURICI · pith_short_16: ME4KMDSURICIJZMN · pith_short_8: ME4KMDSU

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/ME4KMDSURICIJZMNBAQQVD7KCB \
  | 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: 6138a60e548a0484e58d08210a8fea106608c3cd969b6db3e6474777772a7d1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b7abb65307323f3d48aaa409b94a1d86303c33ba26cf5f853cd3f56203800e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-04-01T03:20:11Z",
    "title_canon_sha256": "bcb184cd0b0540a4d3b9dcb8886e5468c0ea12e90b1e5cbcd68b06638f2d33e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.0116",
    "kind": "arxiv",
    "version": 1
  }
}