Pith Number

pith:OJXERMAJ

pith:2017:OJXERMAJVCTJ2CX3DCKOL5APS5

not attested not anchored not stored refs pending

Best finite constrained approximations of one-dimensional probabilities

Arno Berger, Chuang Xu

arxiv:1704.07871 v3 · 2017-04-25 · 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{OJXERMAJVCTJ2CX3DCKOL5APS5}

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	2026-05-17T23:52:08.532575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

726e48b009a8a69d0afb1894e5f40f97470b0502a7fca0695faf0f52f201a3ef

Aliases

arxiv: 1704.07871 · arxiv_version: 1704.07871v3 · doi: 10.48550/arxiv.1704.07871 · pith_short_12: OJXERMAJVCTJ · pith_short_16: OJXERMAJVCTJ2CX3 · pith_short_8: OJXERMAJ

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/OJXERMAJVCTJ2CX3DCKOL5APS5 \
  | 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: 726e48b009a8a69d0afb1894e5f40f97470b0502a7fca0695faf0f52f201a3ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdfdfecc82b6e2ae3c152e184cf2480b61a432bf2b34d286d0d31938f83178d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-04-25T19:15:21Z",
    "title_canon_sha256": "ede90efa1534f65a7a507768a47cd2d20e36bbbe2305d018d1952d030461ead5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.07871",
    "kind": "arxiv",
    "version": 3
  }
}