Pith Number

pith:VEPSPCMA

pith:1993:VEPSPCMANGT3XWHBQ7A56FWNAT

not attested not anchored not stored refs pending

Two-loop two-point functions with masses: asymptotic expansions and Taylor series, in any dimension

D.J.Broadhurst, J.Fleischer, O.V.Tarasov

arxiv:hep-ph/9304303 v1 · 1993-04-27 · 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{VEPSPCMANGT3XWHBQ7A56FWNAT}

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

2 papers in Pith

Numerical analytical continuation of multivariate hypergeometric functions

The spectrum of Feynman-integral geometries at two loops

Receipt and verification

First computed	2026-05-18T04:15:27.124837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a91f27898069a7bbd8e187c1df16cd04d5f6e0a0cd88ff2c3ae5b06b98dca1c3

Aliases

arxiv: hep-ph/9304303 · arxiv_version: hep-ph/9304303v1 · doi: 10.48550/arxiv.hep-ph/9304303 · pith_short_12: VEPSPCMANGT3 · pith_short_16: VEPSPCMANGT3XWHB · pith_short_8: VEPSPCMA

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/VEPSPCMANGT3XWHBQ7A56FWNAT \
  | 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: a91f27898069a7bbd8e187c1df16cd04d5f6e0a0cd88ff2c3ae5b06b98dca1c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96780231c3fbb86f25492b3a95fa63ff047b5fae78ac2e29516823c1ab65d6bb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1993-04-27T12:50:48Z",
    "title_canon_sha256": "59c2829f00afcde0d18c3902f9c82239326c3d86ca5964efd2ad839d5a20159a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9304303",
    "kind": "arxiv",
    "version": 1
  }
}