Pith Number

pith:HH7T2L5S

pith:1994:HH7T2L5SXMRL7P3VWYPKUMYYY6

not attested not anchored not stored refs pending

The Three-Loop Free Energy for Pure Gauge QCD

Chengxing Zhai, Peter Arnold

arxiv:hep-ph/9408276 v1 · 1994-08-12 · 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{HH7T2L5SXMRL7P3VWYPKUMYYY6}

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.

Cited by

3 papers in Pith

Warm Inflation with Pseudo-scalar Couplings

$\mathcal{PT}$-symmetric Field Theories at Finite Temperature

SIRENA -- Sum-Integral REductioN Algorithm

Receipt and verification

First computed	2026-07-04T17:21:48.294926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39ff3d2fb2bb22bfbf75b61eaa3318c7818a42206e86159cd380e31abf7bbda5

Aliases

arxiv: hep-ph/9408276 · arxiv_version: hep-ph/9408276v1 · doi: 10.48550/arxiv.hep-ph/9408276 · pith_short_12: HH7T2L5SXMRL · pith_short_16: HH7T2L5SXMRL7P3V · pith_short_8: HH7T2L5S

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/HH7T2L5SXMRL7P3VWYPKUMYYY6 \
  | 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: 39ff3d2fb2bb22bfbf75b61eaa3318c7818a42206e86159cd380e31abf7bbda5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e37bc1b97ccc8e4699e09fac896cb2450eeb319db16987db00fa54583e7b0d24",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1994-08-12T01:38:40Z",
    "title_canon_sha256": "1002f7b36a48435d9a64be6bc09b73c476e94c6322a773a82bc9026932f91c81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9408276",
    "kind": "arxiv",
    "version": 1
  }
}