Pith Number

pith:YLJFR5NA

pith:2007:YLJFR5NAL4P63TM55GAFITUJGW

not attested not anchored not stored refs pending

The Mathematical Universe

Max Tegmark (MIT)

arxiv:0704.0646 v2 · 2007-04-05 · gr-qc · astro-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YLJFR5NAL4P63TM55GAFITUJGW}

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	2026-07-04T15:24:53.445485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2d258f5a05f1fedcd9de980544e89358652f73a9e15daf2dc47d6ddb968d8f8

Aliases

arxiv: 0704.0646 · arxiv_version: 0704.0646v2 · doi: 10.48550/arxiv.0704.0646 · pith_short_12: YLJFR5NAL4P6 · pith_short_16: YLJFR5NAL4P63TM5 · pith_short_8: YLJFR5NA

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/YLJFR5NAL4P63TM55GAFITUJGW \
  | 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: c2d258f5a05f1fedcd9de980544e89358652f73a9e15daf2dc47d6ddb968d8f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae5e35bbaa2b21287e13219397ed8feb6234da009078d8db96cd8c63e1f9f7e3",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-04-05T14:47:46Z",
    "title_canon_sha256": "f2fa134cd473789bf8616b1705e2e061ca7c78df387bea47e3f531062e1516fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.0646",
    "kind": "arxiv",
    "version": 2
  }
}