Pith Number

pith:URZTGPEF

pith:2009:URZTGPEFLRG22TEYQIR3G642IO

not attested not anchored not stored refs pending

Test Martingales, Bayes Factors and $p$-Values

Alexander Shen, Glenn Shafer, Nikolai Vereshchagin, Vladimir Vovk

arxiv:0912.4269 v3 · 2009-12-21 · math.ST · stat.ME · 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{URZTGPEFLRG22TEYQIR3G642IO}

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	2026-05-18T04:19:54.851937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a473333c855c4dad4c988223b37b9a439ff3fd29761e7c1a968c906d92b3e0d3

Aliases

arxiv: 0912.4269 · arxiv_version: 0912.4269v3 · doi: 10.48550/arxiv.0912.4269 · pith_short_12: URZTGPEFLRG2 · pith_short_16: URZTGPEFLRG22TEY · pith_short_8: URZTGPEF

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/URZTGPEFLRG22TEYQIR3G642IO \
  | 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: a473333c855c4dad4c988223b37b9a439ff3fd29761e7c1a968c906d92b3e0d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "567e23a7cde1aa1a71c5346ed5a531051c2f5726c64173b23fa873b3685c84e9",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2009-12-21T21:19:17Z",
    "title_canon_sha256": "5cf4d978fc22a83d2d15f9e2caa7f25b2b4a4d6e2fb0371af0fcb127f808c937"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4269",
    "kind": "arxiv",
    "version": 3
  }
}