Pith Number

pith:3V23FM7C

pith:1994:3V23FM7CJCIMFRXIOJPUF755SP

not attested not anchored not stored refs pending

The Three-Loop Free Energy for High-Temperature QED and QCD with Fermions

Chengxing Zhai, Peter Arnold

arxiv:hep-ph/9410360 v1 · 1994-10-24 · 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{3V23FM7CJCIMFRXIOJPUF755SP}

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

1 paper in Pith

SIRENA -- Sum-Integral REductioN Algorithm

Receipt and verification

First computed	2026-05-18T01:06:35.414569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd75b2b3e24890c2c6e8725f42ffbd93c419c9a176602e04b581bdb25aee6214

Aliases

arxiv: hep-ph/9410360 · arxiv_version: hep-ph/9410360v1 · doi: 10.48550/arxiv.hep-ph/9410360 · pith_short_12: 3V23FM7CJCIM · pith_short_16: 3V23FM7CJCIMFRXI · pith_short_8: 3V23FM7C

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/3V23FM7CJCIMFRXIOJPUF755SP \
  | 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: dd75b2b3e24890c2c6e8725f42ffbd93c419c9a176602e04b581bdb25aee6214

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "566e5f0ef07723f7f2aaede44964811f515b104639cbaa1203e685cc9eacbcb0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1994-10-24T19:30:20Z",
    "title_canon_sha256": "651fad45f385cbfc7fea2da1021b9806d89e9536adc7a2c92013d92ef3f2f578"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9410360",
    "kind": "arxiv",
    "version": 1
  }
}