Pith Number

pith:7SZNAXX5

pith:2001:7SZNAXX5UHRAZCXPLMAMB2IYWK

not attested not anchored not stored refs pending

N-Point Vertex Functions, Ward-Takahashi Identities and Dyson-Schwinger Equations in Thermal QCD/QED in the Real Time Hard-Thermal-Loop Approximation

Hiroshi Yokota, Hisao Nakkagawa, Koji Yoshida, Yuko Fueki

arxiv:hep-ph/0111275 v1 · 2001-11-22 · 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{7SZNAXX5UHRAZCXPLMAMB2IYWK}

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	2026-05-18T04:23:55.255415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcb2d05efda1e20c8aef5b00c0e918b289c934518b55e6ae25651237a652c6f8

Aliases

arxiv: hep-ph/0111275 · arxiv_version: hep-ph/0111275v1 · doi: 10.48550/arxiv.hep-ph/0111275 · pith_short_12: 7SZNAXX5UHRA · pith_short_16: 7SZNAXX5UHRAZCXP · pith_short_8: 7SZNAXX5

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/7SZNAXX5UHRAZCXPLMAMB2IYWK \
  | 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: fcb2d05efda1e20c8aef5b00c0e918b289c934518b55e6ae25651237a652c6f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b32ac695979ab37737eb16ef14b3c0710c36610d3968e7d37ed70b205afd46d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2001-11-22T09:01:37Z",
    "title_canon_sha256": "84cd7c0afa7f294774d9db07f42757e34241f906803408ba6c63ba6959f02a07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0111275",
    "kind": "arxiv",
    "version": 1
  }
}