Pith Number

pith:2XRRXUNS

pith:2010:2XRRXUNSHLK6JNTZRIIW6X23VZ

not attested not anchored not stored refs pending

An asymptotic approximation of the marginal likelihood for general Markov models

Piotr Zwiernik

arxiv:1012.0753 v1 · 2010-12-03 · 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{2XRRXUNSHLK6JNTZRIIW6X23VZ}

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	2026-05-18T02:23:16.208445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5e31bd1b23ad5e4b6798a116f5f5bae7834ae1305d79b24657789a38f72745f

Aliases

arxiv: 1012.0753 · arxiv_version: 1012.0753v1 · doi: 10.48550/arxiv.1012.0753 · pith_short_12: 2XRRXUNSHLK6 · pith_short_16: 2XRRXUNSHLK6JNTZ · pith_short_8: 2XRRXUNS

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/2XRRXUNSHLK6JNTZRIIW6X23VZ \
  | 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: d5e31bd1b23ad5e4b6798a116f5f5bae7834ae1305d79b24657789a38f72745f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1ec7721744c4c474d2a1c852686df982b8e38e21e7ca5e95af361b5c731f164",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2010-12-03T14:43:07Z",
    "title_canon_sha256": "77e17d7abe2fb6f43b54e51f0754a4bb19efb51fd7226529a5d0c44329bc6471"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0753",
    "kind": "arxiv",
    "version": 1
  }
}