Pith Number

pith:M3GHWSUF

pith:2014:M3GHWSUFNC2YSWTWKI77FEMLKT

not attested not anchored not stored refs pending

The quantization for Markov-type measures on a class of ratio-specified graph directed fractals

Marc Kesseb\"ohmer, Sanguo Zhu

arxiv:1406.3257 v1 · 2014-06-12 · 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{M3GHWSUFNC2YSWTWKI77FEMLKT}

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	2026-05-18T00:33:33.001854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66cc7b4a8568b5895a76523ff2918b54d0ac85351f4e9520d01f23ab8b1b8df7

Aliases

arxiv: 1406.3257 · arxiv_version: 1406.3257v1 · doi: 10.48550/arxiv.1406.3257 · pith_short_12: M3GHWSUFNC2Y · pith_short_16: M3GHWSUFNC2YSWTW · pith_short_8: M3GHWSUF

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/M3GHWSUFNC2YSWTWKI77FEMLKT \
  | 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: 66cc7b4a8568b5895a76523ff2918b54d0ac85351f4e9520d01f23ab8b1b8df7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73df12fedfa16a72da1dec803243b65f29a7d8333cf0e8656fbe612029fd9179",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-06-12T14:52:43Z",
    "title_canon_sha256": "eb6a1648f000e2d80d0fb85fcdf17a32ecfeb777e70dadba6b89ad68795124da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.3257",
    "kind": "arxiv",
    "version": 1
  }
}