Pith Number

pith:ZMHHSZCR

pith:2017:ZMHHSZCRO5EEJKODZJO6H6HHNB

not attested not anchored not stored refs pending

The Ordinals as a Consummate Abstraction of Number Systems

Alec Rhea

arxiv:1706.08908 v2 · 2017-06-23 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZMHHSZCRO5EEJKODZJO6H6HHNB}

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.

Cited by

1 paper in Pith

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory

Receipt and verification

First computed	2026-05-18T00:41:12.123802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb0e796451774844a9c3ca5de3f8e768789be1204169d5182dd962672673de5f

Aliases

arxiv: 1706.08908 · arxiv_version: 1706.08908v2 · doi: 10.48550/arxiv.1706.08908 · pith_short_12: ZMHHSZCRO5EE · pith_short_16: ZMHHSZCRO5EEJKOD · pith_short_8: ZMHHSZCR

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/ZMHHSZCRO5EEJKODZJO6H6HHNB \
  | 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: cb0e796451774844a9c3ca5de3f8e768789be1204169d5182dd962672673de5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "336fe1a931e721d2fa6ef8f4efe903850916a7c6131ed9fab51be9557c80af31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-06-23T18:22:25Z",
    "title_canon_sha256": "4cbda4a6b8beff6b942a67625226a302c13c3da5d8cfabea8aca8c2718774d95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.08908",
    "kind": "arxiv",
    "version": 2
  }
}