Pith Number

pith:SPUQPJR4

pith:1992:SPUQPJR4MGN3HRJPM7IEYWNNXC

not attested not anchored not stored refs pending

Large-order perturbation theory for the electromagnetic current-current correlation function

Chengxing Zhai, Laurence G. Yaffe, Lowell S. Brown

arxiv:hep-ph/9205213 v1 · 1992-05-09 · 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{SPUQPJR4MGN3HRJPM7IEYWNNXC}

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

Factorial growth in perturbation theory, power corrections: precise extraction of quark masses and $\alpha_\text{s}$

Receipt and verification

First computed	2026-07-04T15:54:55.167690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93e907a63c619bb3c52f67d04c59adb8b6aec8f78a122beb17907bcc4bf1ccb0

Aliases

arxiv: hep-ph/9205213 · arxiv_version: hep-ph/9205213v1 · doi: 10.48550/arxiv.hep-ph/9205213 · pith_short_12: SPUQPJR4MGN3 · pith_short_16: SPUQPJR4MGN3HRJP · pith_short_8: SPUQPJR4

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/SPUQPJR4MGN3HRJPM7IEYWNNXC \
  | 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: 93e907a63c619bb3c52f67d04c59adb8b6aec8f78a122beb17907bcc4bf1ccb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77af5142fe77d4dd84172a39acf7d49e574e5dbccbba1a97caf0aed3a8434cf8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1992-05-09T02:26:30Z",
    "title_canon_sha256": "985ff47a48f5599bbc211b4f677d11108f59270aa9b459fbcec9a2b5568e016f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9205213",
    "kind": "arxiv",
    "version": 1
  }
}