Pith Number

pith:2GB5OJ6O

pith:2010:2GB5OJ6OYZ67U7GKEZYSGDLT7U

not attested not anchored not stored refs pending

Lower bounds on the lengths of double-base representations

Everett W. Howe, Vassil S. Dimitrov

arxiv:1001.4133 v4 · 2010-01-23 · 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{2GB5OJ6OYZ67U7GKEZYSGDLT7U}

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	2026-05-18T04:14:38.268739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d183d727cec67dfa7cca2671230d73fd0769599acd5bf94609d6baa12a851838

Aliases

arxiv: 1001.4133 · arxiv_version: 1001.4133v4 · doi: 10.48550/arxiv.1001.4133 · pith_short_12: 2GB5OJ6OYZ67 · pith_short_16: 2GB5OJ6OYZ67U7GK · pith_short_8: 2GB5OJ6O

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/2GB5OJ6OYZ67U7GKEZYSGDLT7U \
  | 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: d183d727cec67dfa7cca2671230d73fd0769599acd5bf94609d6baa12a851838

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef858f2f29e9481a7d2180867ec1265e58e55447a0381d9ad90cd13ef1ccc930",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-01-23T07:00:54Z",
    "title_canon_sha256": "cadf9550b9400bfd1db9caaac72fdec75553cd4a4b55428fafcedb4ae59956c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.4133",
    "kind": "arxiv",
    "version": 4
  }
}