Pith Number

pith:JA5MYPRA

pith:2012:JA5MYPRAYOZKCKH4DUEQ3SGRZM

not attested not anchored not stored refs pending

Estimation of the transition density of a Markov chain

Mathieu Sart

arxiv:1210.5165 v1 · 2012-10-18 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JA5MYPRAYOZKCKH4DUEQ3SGRZM}

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	2026-05-18T03:42:53.715732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

483acc3e20c3b2a128fc1d090dc8d1cb31bb25476b3f3624b9f3dcf07e6f328e

Aliases

arxiv: 1210.5165 · arxiv_version: 1210.5165v1 · doi: 10.48550/arxiv.1210.5165 · pith_short_12: JA5MYPRAYOZK · pith_short_16: JA5MYPRAYOZKCKH4 · pith_short_8: JA5MYPRA

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/JA5MYPRAYOZKCKH4DUEQ3SGRZM \
  | 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: 483acc3e20c3b2a128fc1d090dc8d1cb31bb25476b3f3624b9f3dcf07e6f328e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f6638c98fc7321b96aa71c2ab1fc16a572cbb71aeab68ec2786b4686821542b",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-10-18T16:04:06Z",
    "title_canon_sha256": "1aeaeab3404c216e1c9e551a2667390c475a05d91a8f7c36b9be14869e938f05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5165",
    "kind": "arxiv",
    "version": 1
  }
}