Pith Number

pith:GR3KNUG4

pith:2026:GR3KNUG4UFZTPWFP3VWTRX53RA

not attested not anchored not stored refs pending

On the QCD Axion Potential in Fried's QCD Functional Formalism

Peter H. Tsang

arxiv:2606.04192 v1 · 2026-06-02 · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GR3KNUG4UFZTPWFP3VWTRX53RA}

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	2026-06-04T01:08:19.784411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3476a6d0dca17337d8afdd6d38dfbb882a5514af464c51009ea4d7b155b0a8cd

Aliases

arxiv: 2606.04192 · arxiv_version: 2606.04192v1 · doi: 10.48550/arxiv.2606.04192 · pith_short_12: GR3KNUG4UFZT · pith_short_16: GR3KNUG4UFZTPWFP · pith_short_8: GR3KNUG4

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/GR3KNUG4UFZTPWFP3VWTRX53RA \
  | 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: 3476a6d0dca17337d8afdd6d38dfbb882a5514af464c51009ea4d7b155b0a8cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "093e94dcfef0d5cf7d4fe1bcc38ebf2af35fcbc36bba238d3f8513e8927152f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-06-02T20:20:47Z",
    "title_canon_sha256": "876d0bbc667cc72afcf349cd707da28bd33c6631fd3bf52c9c77f916309d5b58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.04192",
    "kind": "arxiv",
    "version": 1
  }
}