Pith Number

pith:3VPVK2MC

pith:2009:3VPVK2MCDRXFFVX4CPQOH4N3P2

not attested not anchored not stored refs pending

Feynman Diagrams, Differential Reduction, and Hypergeometric Functions

B.F.L. Ward (Baylor U.), Inst. Theor. Phys. II), Inst. Theor. Phys. II & Dubna, JINR), JINR) Bernd A. Kniehl (Hamburg U., M. Yu. Kalmykov (Hamburg U., S.A. Yost (Citadel Military Coll.), V. V. Bytev (Hamburg U.

arxiv:0901.4716 v3 · 2009-01-29 · hep-th · hep-ph · math-ph · math.AP · 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{3VPVK2MCDRXFFVX4CPQOH4N3P2}

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	2026-05-18T02:35:01.552904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd5f5569821c6e52d6fc13e0e3f1bb7e94bd74fe54d7d70f2a489ada4895512c

Aliases

arxiv: 0901.4716 · arxiv_version: 0901.4716v3 · doi: 10.48550/arxiv.0901.4716 · pith_short_12: 3VPVK2MCDRXF · pith_short_16: 3VPVK2MCDRXFFVX4 · pith_short_8: 3VPVK2MC

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/3VPVK2MCDRXFFVX4CPQOH4N3P2 \
  | 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: dd5f5569821c6e52d6fc13e0e3f1bb7e94bd74fe54d7d70f2a489ada4895512c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1979bd39779464a4ee26a21529e9b6c3b3f12e6ccf904a26c260793dfc511772",
    "cross_cats_sorted": [
      "hep-ph",
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-01-29T16:27:52Z",
    "title_canon_sha256": "c5833d4d9563491531a6dd0abd0ce81f395d01de84b07be4a25554397af096c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.4716",
    "kind": "arxiv",
    "version": 3
  }
}