Pith Number

pith:SUYP4R2H

pith:2006:SUYP4R2HNYK62GFJZWZWY72GUX

not attested not anchored not stored refs pending

Recursive definitions on surreal numbers

Antongiulio Fornasiero

arxiv:math/0612234 v1 · 2006-12-09 · math.LO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SUYP4R2HNYK62GFJZWZWY72GUX}

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	2026-07-04T14:57:59.976703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9530fe47476e15ed18a9cdb36c7f46a5d7698fe919cbe876e93c467ed3cb96d4

Aliases

arxiv: math/0612234 · arxiv_version: math/0612234v1 · doi: 10.48550/arxiv.math/0612234 · pith_short_12: SUYP4R2HNYK6 · pith_short_16: SUYP4R2HNYK62GFJ · pith_short_8: SUYP4R2H

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/SUYP4R2HNYK62GFJZWZWY72GUX \
  | 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: 9530fe47476e15ed18a9cdb36c7f46a5d7698fe919cbe876e93c467ed3cb96d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae7dcb4adcb92fdc1c405fe169b5da4190ee2b505dc2558ca6361586fa00c49e",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "2006-12-09T15:12:59Z",
    "title_canon_sha256": "4695d9d5cfd78e95ad6bc6f9f6848752c0d003aa2bf02b9914123fd12b27b22a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612234",
    "kind": "arxiv",
    "version": 1
  }
}