Pith Number

pith:A4ANPFEB

pith:1993:A4ANPFEB2BQVZYEOSNHEHXGNH4

not attested not anchored not stored refs pending

String-Based Perturbative Methods for Gauge Theories

Zvi Bern

arxiv:hep-ph/9304249 v1 · 1993-04-13 · 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{A4ANPFEB2BQVZYEOSNHEHXGNH4}

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

Gluon amplitudes in first quantization

Receipt and verification

First computed	2026-07-04T14:29:28.429066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0700d79481d0615ce08e934e43dccd3f31826225eb8c942c2a532cf249fd58e4

Aliases

arxiv: hep-ph/9304249 · arxiv_version: hep-ph/9304249v1 · doi: 10.48550/arxiv.hep-ph/9304249 · pith_short_12: A4ANPFEB2BQV · pith_short_16: A4ANPFEB2BQVZYEO · pith_short_8: A4ANPFEB

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/A4ANPFEB2BQVZYEOSNHEHXGNH4 \
  | 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: 0700d79481d0615ce08e934e43dccd3f31826225eb8c942c2a532cf249fd58e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4457044c047f9e1c33400abdf092039c58812fbbbc2b9d96dfc14883f398f3fa",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1993-04-13T22:25:24Z",
    "title_canon_sha256": "d6f731974bfda024c1ae38c6a0a501a29d2d2d5bff398cbb219a70eb4e1236a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9304249",
    "kind": "arxiv",
    "version": 1
  }
}