Pith Number

pith:SH56KL5F

pith:2015:SH56KL5FFHXG4LNAKIRATYEJ2I

not attested not anchored not stored refs pending

The surreal numbers as a universal H-field

Joris van der Hoeven, Lou van den Dries, Matthias Aschenbrenner

arxiv:1512.02267 v3 · 2015-12-07 · math.LO · math.CA · 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{SH56KL5FFHXG4LNAKIRATYEJ2I}

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	2026-05-18T01:09:29.635829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91fbe52fa529ee6e2da0522209e089d22ff1d63e8c48bd606ba6f7b52e87a1ab

Aliases

arxiv: 1512.02267 · arxiv_version: 1512.02267v3 · doi: 10.48550/arxiv.1512.02267 · pith_short_12: SH56KL5FFHXG · pith_short_16: SH56KL5FFHXG4LNA · pith_short_8: SH56KL5F

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/SH56KL5FFHXG4LNAKIRATYEJ2I \
  | 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: 91fbe52fa529ee6e2da0522209e089d22ff1d63e8c48bd606ba6f7b52e87a1ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c4f295527945ae26893eca6a90bd7fb7ab274ae484fbc09cc01221c007ec3c8",
    "cross_cats_sorted": [
      "math.CA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-12-07T22:27:29Z",
    "title_canon_sha256": "e3d0e7b7a1b0e61edc8c4c192abaccfd6bed5cc58a33416277e8ade2f73dbd01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02267",
    "kind": "arxiv",
    "version": 3
  }
}