Pith Number

pith:4F5AWZNZ

pith:2011:4F5AWZNZW4PD4PRJ54CYRCN7IL

not attested not anchored not stored refs pending

Is Zero a Natural Number?

Peter Harremo\"es

arxiv:1102.0418 v1 · 2011-02-02 · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4F5AWZNZW4PD4PRJ54CYRCN7IL}

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	2026-05-18T04:30:04.963888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e17a0b65b9b71e3e3e29ef058889bf42d3e9300c80d6b3dec4da202fddf2321b

Aliases

arxiv: 1102.0418 · arxiv_version: 1102.0418v1 · doi: 10.48550/arxiv.1102.0418 · pith_short_12: 4F5AWZNZW4PD · pith_short_16: 4F5AWZNZW4PD4PRJ · pith_short_8: 4F5AWZNZ

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/4F5AWZNZW4PD4PRJ54CYRCN7IL \
  | 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: e17a0b65b9b71e3e3e29ef058889bf42d3e9300c80d6b3dec4da202fddf2321b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf07ebdbfa17836b4423003584b6ad6de0db0936d58a4e73e1863648a3886b55",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2011-02-02T12:48:03Z",
    "title_canon_sha256": "4b0b9f12df9226153b5ffce76592169ee306d2cbc7007e0f7ae6af76938955c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0418",
    "kind": "arxiv",
    "version": 1
  }
}