Pith Number

pith:TI2FLZDN

pith:2004:TI2FLZDNUIZMO4R6LQ4T2C3XNU

not attested not anchored not stored refs pending

Master Integrals For Massless Two-Loop Vertex Diagrams With Three Offshell Legs

E.W.N. Glover, Ippp), P. Marquard (Durham, T.G. Birthwright

arxiv:hep-ph/0407343 v2 · 2004-07-29 · 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{TI2FLZDNUIZMO4R6LQ4T2C3XNU}

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

Status of two-loop automation in OpenLoops

Receipt and verification

First computed	2026-07-04T15:20:24.357532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a3455e46da232c7723e5c393d0b776d3809bccc1e7672bc7431a7edc652cd03

Aliases

arxiv: hep-ph/0407343 · arxiv_version: hep-ph/0407343v2 · doi: 10.48550/arxiv.hep-ph/0407343 · pith_short_12: TI2FLZDNUIZM · pith_short_16: TI2FLZDNUIZMO4R6 · pith_short_8: TI2FLZDN

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/TI2FLZDNUIZMO4R6LQ4T2C3XNU \
  | 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: 9a3455e46da232c7723e5c393d0b776d3809bccc1e7672bc7431a7edc652cd03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2cd7d4221284d54e18513ad5dd8c28f71152109591c29b82a30fd04d8f243a4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2004-07-29T14:30:22Z",
    "title_canon_sha256": "1eb4cd1fb6b811bab21fa4a9d9fab4db20ae2c349d64faf1880e8f5d6952815f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0407343",
    "kind": "arxiv",
    "version": 2
  }
}