Pith Number

pith:WZJ7LWAA

pith:2015:WZJ7LWAA5ZDGSCLLYZMFWMYKEQ

not attested not anchored not stored refs pending

The diamond rule for multi-loop Feynman diagrams

Ben Ruijl, Jos Vermaseren, Takahiro Ueda

arxiv:1504.08258 v1 · 2015-04-30 · 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{WZJ7LWAA5ZDGSCLLYZMFWMYKEQ}

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	2026-05-18T01:55:31.869027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b653f5d800ee4669096bc6585b330a2412f373feb346423e9f5e0554a9529b26

Aliases

arxiv: 1504.08258 · arxiv_version: 1504.08258v1 · doi: 10.48550/arxiv.1504.08258 · pith_short_12: WZJ7LWAA5ZDG · pith_short_16: WZJ7LWAA5ZDGSCLL · pith_short_8: WZJ7LWAA

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/WZJ7LWAA5ZDGSCLLYZMFWMYKEQ \
  | 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: b653f5d800ee4669096bc6585b330a2412f373feb346423e9f5e0554a9529b26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "898c38ee041fdf530f6a6cbfa265f07d2766cd6c8c8c0e2aae35e594339c6066",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2015-04-30T14:54:26Z",
    "title_canon_sha256": "6fee4a2f14f07697e1a6322d4daf92a15951070c126f68288476eb8776dcf8e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.08258",
    "kind": "arxiv",
    "version": 1
  }
}