Pith Number

pith:BWKRIHPL

pith:2015:BWKRIHPLIXUEY3HXWJA7XQOWHG

not attested not anchored not stored refs pending

Smallest bases of expansions with multiple digits

Derong Kong, Wenxia Li, Yuru Zou

arxiv:1507.08135 v1 · 2015-07-29 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BWKRIHPLIXUEY3HXWJA7XQOWHG}

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	2026-05-18T01:36:08.256979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d95141deb45e84c6cf7b241fbc1d639bf9ee6ea10ad588b386ae21ccd2409c8

Aliases

arxiv: 1507.08135 · arxiv_version: 1507.08135v1 · doi: 10.48550/arxiv.1507.08135 · pith_short_12: BWKRIHPLIXUE · pith_short_16: BWKRIHPLIXUEY3HX · pith_short_8: BWKRIHPL

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/BWKRIHPLIXUEY3HXWJA7XQOWHG \
  | 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: 0d95141deb45e84c6cf7b241fbc1d639bf9ee6ea10ad588b386ae21ccd2409c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "055c0f9f0c11942c4fa81a69167ca475f1613e8b8aeab276bcd2163a2e24cd10",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-07-29T13:21:29Z",
    "title_canon_sha256": "0f6c0462dfdd2cb09c8ec5ef0a1f1ac14d1f7c36c8e02ab2c0d34f3b06d02a77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08135",
    "kind": "arxiv",
    "version": 1
  }
}