Pith Number

pith:CGLZL6LL

pith:1997:CGLZL6LLZKPZRDB4WKNWM4OYJL

not attested not anchored not stored refs pending

On the dimensionality of spacetime

Max Tegmark (IAS)

arxiv:gr-qc/9702052 v2 · 1997-02-25 · gr-qc · hep-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{CGLZL6LLZKPZRDB4WKNWM4OYJL}

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	2026-07-04T17:25:39.228945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

119795f96bca9f988c3cb29b6671d84aff951e50f8b0bc916419685d833e289a

Aliases

arxiv: gr-qc/9702052 · arxiv_version: gr-qc/9702052v2 · doi: 10.48550/arxiv.gr-qc/9702052 · pith_short_12: CGLZL6LLZKPZ · pith_short_16: CGLZL6LLZKPZRDB4 · pith_short_8: CGLZL6LL

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/CGLZL6LLZKPZRDB4WKNWM4OYJL \
  | 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: 119795f96bca9f988c3cb29b6671d84aff951e50f8b0bc916419685d833e289a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14dd8ee3810e32adf40ae41c1bffb37859b3d09dc14acb810a1fb2acb5b5a68c",
    "cross_cats_sorted": [
      "hep-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1997-02-25T05:02:54Z",
    "title_canon_sha256": "1fed6f741c0df0d89e16e676c6a3e9d68fa5f26d82ec2802a0b66eeb88e17183"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9702052",
    "kind": "arxiv",
    "version": 2
  }
}