Pith Number

pith:VNNRTNZ5

pith:2010:VNNRTNZ56QN4BAQ2MKJUARODKE

not attested not anchored not stored refs pending

Feynman graph polynomials

Christian Bogner, Stefan Weinzierl

arxiv:1002.3458 v3 · 2010-02-18 · hep-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VNNRTNZ56QN4BAQ2MKJUARODKE}

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

Discrete symmetries of Feynman integrals

Receipt and verification

First computed	2026-05-18T02:08:59.769726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab5b19b73df41bc0821a62934045c3511f0a27243f735484da56a9ba4b15adbc

Aliases

arxiv: 1002.3458 · arxiv_version: 1002.3458v3 · doi: 10.48550/arxiv.1002.3458 · pith_short_12: VNNRTNZ56QN4 · pith_short_16: VNNRTNZ56QN4BAQ2 · pith_short_8: VNNRTNZ5

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/VNNRTNZ56QN4BAQ2MKJUARODKE \
  | 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: ab5b19b73df41bc0821a62934045c3511f0a27243f735484da56a9ba4b15adbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23c4a6f1815a0304cf552259a79c57e25f015b87c9f79a11349ee09dbd53e624",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2010-02-18T09:25:24Z",
    "title_canon_sha256": "50af5757fb3dec42cddc60862b3bc1dbe605861d50ab810690bbed052f8ac357"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.3458",
    "kind": "arxiv",
    "version": 3
  }
}