Pith Number

pith:PKESFD2S

pith:2015:PKESFD2S45FGI7VODXAIYUJKBB

not attested not anchored not stored refs pending

Martingale central-limit theorems for pivotal sampling

Guillaume Chauvet

arxiv:1510.08895 v1 · 2015-10-29 · 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{PKESFD2S45FGI7VODXAIYUJKBB}

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	2026-05-18T01:28:24.479482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a89228f52e74a647eae1dc08c512a0868921d76690af90184b332ca43bcd7ce

Aliases

arxiv: 1510.08895 · arxiv_version: 1510.08895v1 · doi: 10.48550/arxiv.1510.08895 · pith_short_12: PKESFD2S45FG · pith_short_16: PKESFD2S45FGI7VO · pith_short_8: PKESFD2S

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/PKESFD2S45FGI7VODXAIYUJKBB \
  | 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: 7a89228f52e74a647eae1dc08c512a0868921d76690af90184b332ca43bcd7ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "442b09ba5b4bc007f66efdc0ee024a94b793d3cbb1f0f62e0b1d3e906857869a",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-10-29T20:45:06Z",
    "title_canon_sha256": "275b034e2e55e0604cc62df1206de1e3eff1c928f4d3fbe5e220dfc1a52c890c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08895",
    "kind": "arxiv",
    "version": 1
  }
}