Pith Number

pith:2GZ34W32

pith:2012:2GZ34W32VKUILFK2AOTMTM46ZD

not attested not anchored not stored refs pending

Central limit theorems and diffusion approximations for multiscale Markov chain models

Hye-Won Kang, Lea Popovic, Thomas G. Kurtz

arxiv:1208.3783 v2 · 2012-08-18 · 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{2GZ34W32VKUILFK2AOTMTM46ZD}

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	2026-05-18T02:55:57.624280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1b3be5b7aaaa885955a03a6c9b39ec8e05518ec28ed62b6ab386456c9c3d255

Aliases

arxiv: 1208.3783 · arxiv_version: 1208.3783v2 · doi: 10.48550/arxiv.1208.3783 · pith_short_12: 2GZ34W32VKUI · pith_short_16: 2GZ34W32VKUILFK2 · pith_short_8: 2GZ34W32

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/2GZ34W32VKUILFK2AOTMTM46ZD \
  | 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: d1b3be5b7aaaa885955a03a6c9b39ec8e05518ec28ed62b6ab386456c9c3d255

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08d72b01595f422fe1d61496b4bdfb159d2fbc68b625fd49afcfa24a3ae1adaa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-08-18T20:05:18Z",
    "title_canon_sha256": "04a314596c05b4f7b95fa4467684772875da7c6dd324018f607d355071e0cc58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3783",
    "kind": "arxiv",
    "version": 2
  }
}