Pith Number

pith:GAHTEM5U

pith:2002:GAHTEM5UFJ7AUBZKJ5W6D5WTKL

not attested not anchored not stored refs pending

Clifford Geometrodynamics

A. Garrett Lisi

arxiv:gr-qc/0212041 v3 · 2002-12-09 · gr-qc · 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{GAHTEM5UFJ7AUBZKJ5W6D5WTKL}

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	2026-05-18T01:06:47.562785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

300f3233b42a7e0a072a4f6de1f6d352cf0ab66eb6f5b1bda09914127beb0388

Aliases

arxiv: gr-qc/0212041 · arxiv_version: gr-qc/0212041v3 · doi: 10.48550/arxiv.gr-qc/0212041 · pith_short_12: GAHTEM5UFJ7A · pith_short_16: GAHTEM5UFJ7AUBZK · pith_short_8: GAHTEM5U

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/GAHTEM5UFJ7AUBZKJ5W6D5WTKL \
  | 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: 300f3233b42a7e0a072a4f6de1f6d352cf0ab66eb6f5b1bda09914127beb0388

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "981fa786ab42e2f07b585244b047c247b070f00bfd4c3a063e92c75d8b736fba",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2002-12-09T16:42:00Z",
    "title_canon_sha256": "20b29c7b5bfb32d9ae7187c255fcea6688254085c2be415aa4bcc76040e975cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0212041",
    "kind": "arxiv",
    "version": 3
  }
}