Pith Number

pith:WOKTS4IN

pith:1994:WOKTS4INRKRRHNYVIIKG6JUOPJ

not attested not anchored not stored refs pending

Two-loop three-point diagrams with irreducible numerators

Andrei I. Davydychev, Natalia I. Ussyukina

arxiv:hep-ph/9412356 v1 · 1994-12-22 · 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{WOKTS4INRKRRHNYVIIKG6JUOPJ}

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	2026-05-18T02:37:13.027893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b39539710d8aa313b71542146f268e7a7d1f6cd6575d7bb45534d582437607f4

Aliases

arxiv: hep-ph/9412356 · arxiv_version: hep-ph/9412356v1 · doi: 10.48550/arxiv.hep-ph/9412356 · pith_short_12: WOKTS4INRKRR · pith_short_16: WOKTS4INRKRRHNYV · pith_short_8: WOKTS4IN

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/WOKTS4INRKRRHNYVIIKG6JUOPJ \
  | 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: b39539710d8aa313b71542146f268e7a7d1f6cd6575d7bb45534d582437607f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10b5f20bbe76005033c5231c7acfe972efe89bf9bf21ae2968ae9cea6cdc22ca",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1994-12-22T11:05:17Z",
    "title_canon_sha256": "6ed234cec403c7ce125b67f3e36f42ff2034916028847753f5045eacf5ec5367"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9412356",
    "kind": "arxiv",
    "version": 1
  }
}