Pith Number

pith:Z57SYZIK

pith:1993:Z57SYZIKB3TRAACWQSDF3CS4QI

not attested not anchored not stored refs pending

One Loop Multiphoton Helicity Amplitudes

Gregory Mahlon

arxiv:hep-ph/9311213 v1 · 1993-11-02 · 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{Z57SYZIKB3TRAACWQSDF3CS4QI}

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

Associativity is enough: an all-orders 2d chiral algebra for 4d form factors

Receipt and verification

First computed	2026-07-04T15:55:52.576841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf7f2c650a0ee710005684865d8a5c820e6ac3c444eb6e382de76cf0aec59524

Aliases

arxiv: hep-ph/9311213 · arxiv_version: hep-ph/9311213v1 · doi: 10.48550/arxiv.hep-ph/9311213 · pith_short_12: Z57SYZIKB3TR · pith_short_16: Z57SYZIKB3TRAACW · pith_short_8: Z57SYZIK

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/Z57SYZIKB3TRAACWQSDF3CS4QI \
  | 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: cf7f2c650a0ee710005684865d8a5c820e6ac3c444eb6e382de76cf0aec59524

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c2d9622d13f922339b8e866056376de830f4320695ec25dff256d410d1acb1a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1993-11-02T22:28:39Z",
    "title_canon_sha256": "2ba2483c81622c095c2c869ec47c886e0105c6c1df99e342be4e136f05be1edf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9311213",
    "kind": "arxiv",
    "version": 1
  }
}