Pith Number

pith:NMEZMWTB

pith:2013:NMEZMWTBN4HXUR36OZTJBNR5XB

not attested not anchored not stored refs pending

On measures driven by Markov chains

Andrzej Stos, Yanick Heurteaux

arxiv:1311.1356 v1 · 2013-11-06 · math.CA · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NMEZMWTBN4HXUR36OZTJBNR5XB}

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	2026-05-18T01:46:38.330934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b09965a616f0f7a477e766690b63db84245e21e791d2ffe59b0c4659bfcb3e6

Aliases

arxiv: 1311.1356 · arxiv_version: 1311.1356v1 · doi: 10.48550/arxiv.1311.1356 · pith_short_12: NMEZMWTBN4HX · pith_short_16: NMEZMWTBN4HXUR36 · pith_short_8: NMEZMWTB

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/NMEZMWTBN4HXUR36OZTJBNR5XB \
  | 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: 6b09965a616f0f7a477e766690b63db84245e21e791d2ffe59b0c4659bfcb3e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e62e81c00b18062fcadbb806887c52364a6a21a60dbee96401af0b0151281395",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-11-06T11:39:27Z",
    "title_canon_sha256": "a70c3e2a493678a1c718b0f08df1936d8501f1c42c6b5192d475bc1455f4169b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1356",
    "kind": "arxiv",
    "version": 1
  }
}