Pith Number

pith:GJBDTBZK

pith:2021:GJBDTBZKXR3T72W2U2X4PV4PVK

not attested not anchored not stored refs pending

Determination of the continuous $\beta$ function of SU(3) Yang-Mills theory

Anna Hasenfratz, Curtis T. Peterson, Jake van Sickle, Oliver Witzel

arxiv:2109.09720 v1 · 2021-09-20 · hep-lat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GJBDTBZKXR3T72W2U2X4PV4PVK}

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	2026-07-05T03:15:49.174682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

324239872abc773feadaa6afc7d78faabbb72f7a1ba397741775619f48744115

Aliases

arxiv: 2109.09720 · arxiv_version: 2109.09720v1 · doi: 10.48550/arxiv.2109.09720 · pith_short_12: GJBDTBZKXR3T · pith_short_16: GJBDTBZKXR3T72W2 · pith_short_8: GJBDTBZK

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/GJBDTBZKXR3T72W2U2X4PV4PVK \
  | 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: 324239872abc773feadaa6afc7d78faabbb72f7a1ba397741775619f48744115

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38429995e8f46ad3d91384d37c8b76db0d3ed4a769ffc13534f0209f084e1a46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-lat",
    "submitted_at": "2021-09-20T17:53:40Z",
    "title_canon_sha256": "fcf09a88031611947e7ea9ff70053340e17a283af7204d711cb1465122ecffaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.09720",
    "kind": "arxiv",
    "version": 1
  }
}