Pith Number

pith:7VPWHKGR

pith:2010:7VPWHKGRECPGTZM2U563LG35AS

not attested not anchored not stored refs pending

All-order epsilon-expansions of hypergeometric functions of one variable

Bernd A.Kniehl (Hamburg U., Inst. Theor. Phys. II), Inst. Theor. Phys. II & Dubna, JINR), Mikhail Yu. Kalmykov (Hamburg U.

arxiv:1003.1965 v1 · 2010-03-09 · math-ph · hep-ph · hep-th · 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{7VPWHKGRECPGTZM2U563LG35AS}

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	2026-05-18T02:08:35.799136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd5f63a8d1209e69e59aa77db59b7d04b75a46637cb0d94b351d46be4b78e369

Aliases

arxiv: 1003.1965 · arxiv_version: 1003.1965v1 · doi: 10.48550/arxiv.1003.1965 · pith_short_12: 7VPWHKGRECPG · pith_short_16: 7VPWHKGRECPGTZM2 · pith_short_8: 7VPWHKGR

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/7VPWHKGRECPGTZM2U563LG35AS \
  | 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: fd5f63a8d1209e69e59aa77db59b7d04b75a46637cb0d94b351d46be4b78e369

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36923f2f397d34a3fd8e2ea203c137759211de7675788dbcbd12b467d3a5c701",
    "cross_cats_sorted": [
      "hep-ph",
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-03-09T20:00:12Z",
    "title_canon_sha256": "47906b8a321b8dd407130ea1dc277e5c48ece90459549852a01447537ade9ea3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.1965",
    "kind": "arxiv",
    "version": 1
  }
}