Pith Number

pith:T3VP5Y3F

pith:2011:T3VP5Y3FXUVPZFL6JS5PHJPXMF

not attested not anchored not stored refs pending

Dismal Arithmetic

David Applegate, Marc LeBrun, N. J. A. Sloane

arxiv:1107.1130 v2 · 2011-07-06 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T3VP5Y3FXUVPZFL6JS5PHJPXMF}

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	2026-05-18T02:42:46.837779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9eeafee365bd2afc957e4cbaf3a5f761505623154b14b9f4f6e14399d56eaef2

Aliases

arxiv: 1107.1130 · arxiv_version: 1107.1130v2 · doi: 10.48550/arxiv.1107.1130 · pith_short_12: T3VP5Y3FXUVP · pith_short_16: T3VP5Y3FXUVPZFL6 · pith_short_8: T3VP5Y3F

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/T3VP5Y3FXUVPZFL6JS5PHJPXMF \
  | 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: 9eeafee365bd2afc957e4cbaf3a5f761505623154b14b9f4f6e14399d56eaef2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfce733b9e0c63baebcdf9c4a50f572137119cd46efecac546b3d9c2f7a35200",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-07-06T13:51:27Z",
    "title_canon_sha256": "45e4f7a847c288abd1522a6c415afc5167a93748fb249c0019a4e99d53bff733"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1130",
    "kind": "arxiv",
    "version": 2
  }
}