Pith Number

pith:QHYTY3C7

pith:2011:QHYTY3C72URSCD4O757V5BCEGD

not attested not anchored not stored refs pending

A class of elementary particle models without any adjustable real parameters

Gerard 't Hooft

arxiv:1104.4543 v1 · 2011-04-23 · 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{QHYTY3C72URSCD4O757V5BCEGD}

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	2026-05-18T02:02:15.837823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81f13c6c5fd523210f8eff7f5e844430cffa869623e72462e135c2e58294425e

Aliases

arxiv: 1104.4543 · arxiv_version: 1104.4543v1 · doi: 10.48550/arxiv.1104.4543 · pith_short_12: QHYTY3C72URS · pith_short_16: QHYTY3C72URSCD4O · pith_short_8: QHYTY3C7

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/QHYTY3C72URSCD4O757V5BCEGD \
  | 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: 81f13c6c5fd523210f8eff7f5e844430cffa869623e72462e135c2e58294425e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb26d5076be5e05f380ce7d1b140fc80d3c811cbca946367e9b1c9e11984a6e3",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-04-23T09:27:27Z",
    "title_canon_sha256": "077fda4b0457cc720585861da64a511aaa11e54a06965c255b7841b1178b461c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4543",
    "kind": "arxiv",
    "version": 1
  }
}