Pith Number

pith:NMLIIH5D

pith:1999:NMLIIH5DDTPYFWWXOUMPW5BAUJ

not attested not anchored not stored refs pending

Solving multi-loop Feynman diagrams using light-front coordinates

N.E. Ligterink

arxiv:hep-ph/9911411 v1 · 1999-11-19 · 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{NMLIIH5DDTPYFWWXOUMPW5BAUJ}

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	2026-07-04T16:14:34.071759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b16841fa31cdf82dad77518fb7420a2482c9a935bb99cb277821cc9633090c0

Aliases

arxiv: hep-ph/9911411 · arxiv_version: hep-ph/9911411v1 · doi: 10.48550/arxiv.hep-ph/9911411 · pith_short_12: NMLIIH5DDTPY · pith_short_16: NMLIIH5DDTPYFWWX · pith_short_8: NMLIIH5D

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/NMLIIH5DDTPYFWWXOUMPW5BAUJ \
  | 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: 6b16841fa31cdf82dad77518fb7420a2482c9a935bb99cb277821cc9633090c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d0b728cb7582478e242ddcf5b8234778e575c1b860db41a8f3f2e1ac76b3c41",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-11-19T15:11:06Z",
    "title_canon_sha256": "795cba9ea79973b68e1e680956fbae1bcbf0ef207b89b4bce03ebb54cbf934d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9911411",
    "kind": "arxiv",
    "version": 1
  }
}