Pith Number

pith:APYCMLVU

pith:1997:APYCMLVUNTJP6JVPQ423WFEWEB

not attested not anchored not stored refs pending

Renormalization of gauge-invariant operators for the structure function g_2(x, Q^{2})

Hiroshi Tochimura (Hiroshima Univ.), Jiro Kodaira (Hiroshima Univ.), Kazuhiro Tanaka (Juntendo Univ.), Takashi Nasuno (Hiroshima Univ.), Yoshiaki Yasui (RIKEN-BNL)

arxiv:hep-ph/9712395 v2 · 1997-12-16 · 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{APYCMLVUNTJP6JVPQ423WFEWEB}

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	2026-07-04T16:05:20.420848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03f0262eb46cd2ff26af8735bb1496206026917284c749fc61a2d83cae362797

Aliases

arxiv: hep-ph/9712395 · arxiv_version: hep-ph/9712395v2 · doi: 10.48550/arxiv.hep-ph/9712395 · pith_short_12: APYCMLVUNTJP · pith_short_16: APYCMLVUNTJP6JVP · pith_short_8: APYCMLVU

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/APYCMLVUNTJP6JVPQ423WFEWEB \
  | 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: 03f0262eb46cd2ff26af8735bb1496206026917284c749fc61a2d83cae362797

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7835dcbda7b618a3a8f29705138ddd2662442a73411cd9075e67290c5197d108",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1997-12-16T11:40:44Z",
    "title_canon_sha256": "56147d7ef60f79790c6dc6bb2e06fd94b0dc6a7233d330ccd6f43943f8248f5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9712395",
    "kind": "arxiv",
    "version": 2
  }
}