Pith Number

pith:NGZTLDAM

pith:1999:NGZTLDAMIW2ICKUIWL3RRDPDZO

not attested not anchored not stored refs pending

Differential Equations for Two-Loop Four-Point Functions

E. Remiddi, T.Gehrmann

arxiv:hep-ph/9912329 v2 · 1999-12-14 · hep-ph · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NGZTLDAMIW2ICKUIWL3RRDPDZO}

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

28 papers in Pith

Analytic results for heavy-quark contributions to charged-current DIS at NNLO

Weak-field waveforms for generic relativistic orbits

Efficient AI-Inspired Reduction of Feynman Integrals via Tube Seeding

From geometry to phenomenology

IterInt: Evaluating iterated integrals via differential equations

Receipt and verification

First computed	2026-07-04T16:14:35.611578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69b3358c0c45b4812a88b2f7188de3cb8a00fa5952dd5d3ace6d0985b1a03e8d

Aliases

arxiv: hep-ph/9912329 · arxiv_version: hep-ph/9912329v2 · doi: 10.48550/arxiv.hep-ph/9912329 · pith_short_12: NGZTLDAMIW2I · pith_short_16: NGZTLDAMIW2ICKUI · pith_short_8: NGZTLDAM

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/NGZTLDAMIW2ICKUIWL3RRDPDZO \
  | 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: 69b3358c0c45b4812a88b2f7188de3cb8a00fa5952dd5d3ace6d0985b1a03e8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48ea5f01f4584d2647d89080cd7ebc933d29cac9cad582367b3833beafdf2135",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-12-14T08:54:32Z",
    "title_canon_sha256": "583893905fe50935de0f096aa45014ad78a77e4d2cdaaaaad56378a0fedd8c38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9912329",
    "kind": "arxiv",
    "version": 2
  }
}