Pith Number

pith:22FT7I4L

pith:2010:22FT7I4LWB3G3EDED5XIBZVR2S

not attested not anchored not stored refs pending

SO(4,1) Yang-Mills theory of quantum gravity

Timothy D. Andersen

arxiv:1005.4089 v10 · 2010-05-21 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{22FT7I4LWB3G3EDED5XIBZVR2S}

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	2026-05-18T03:05:28.754766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d68b3fa38bb0766d90641f6e80e6b1d497998a58c4ebcc30cdf2ad9f00ad4ada

Aliases

arxiv: 1005.4089 · arxiv_version: 1005.4089v10 · doi: 10.48550/arxiv.1005.4089 · pith_short_12: 22FT7I4LWB3G · pith_short_16: 22FT7I4LWB3G3EDE · pith_short_8: 22FT7I4L

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/22FT7I4LWB3G3EDED5XIBZVR2S \
  | 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: d68b3fa38bb0766d90641f6e80e6b1d497998a58c4ebcc30cdf2ad9f00ad4ada

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2e9719a2cbae17ca96937d723158062c8dd9de97ac3532c9dfe683bbb1e6c80",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-05-21T21:51:15Z",
    "title_canon_sha256": "0ccf1e257fa78955609a8abf87164cbb22fd11a12f424a370a6b83867e9722a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.4089",
    "kind": "arxiv",
    "version": 10
  }
}