Pith Number

pith:SBDBY4XK

pith:2017:SBDBY4XK435RZFWD5KHMXYU3WX

not attested not anchored not stored refs pending

Explicit error bounds for lattice Edgeworth expansions

A. C. Gamst, A. W. Hales, J. P. Buhler, R. L. Graham

arxiv:1710.08845 v1 · 2017-10-24 · 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{SBDBY4XK435RZFWD5KHMXYU3WX}

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	2026-05-18T00:32:03.649112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90461c72eae6fb1c96c3ea8ecbe29bb5f586f9043bf03477843e2e0a44fe9dcd

Aliases

arxiv: 1710.08845 · arxiv_version: 1710.08845v1 · doi: 10.48550/arxiv.1710.08845 · pith_short_12: SBDBY4XK435R · pith_short_16: SBDBY4XK435RZFWD · pith_short_8: SBDBY4XK

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/SBDBY4XK435RZFWD5KHMXYU3WX \
  | 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: 90461c72eae6fb1c96c3ea8ecbe29bb5f586f9043bf03477843e2e0a44fe9dcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05d3229ddde2e26ca183c0ff63c866e35033a0c30afa73add69d334a3d14e1dc",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2017-10-24T15:26:12Z",
    "title_canon_sha256": "89a3e8107c1cde85cb32f19cb97586d4c73411426ec0a38fe52593a295c53aa4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.08845",
    "kind": "arxiv",
    "version": 1
  }
}