Pith Number

pith:V4CBJEJB

pith:2006:V4CBJEJBSZ2KPRECCJWGG4JINL

not attested not anchored not stored refs pending

All order epsilon-expansion of Gauss hypergeometric functions with integer and half/integer values of parameters

B.F.L.Ward, JINR), M.Yu.Kalmykov (Baylor U. & Dubna, S.Yost (Baylor U.)

arxiv:hep-th/0612240 v2 · 2006-12-21 · hep-th · cs.SC · hep-ph · math-ph · math.CA · math.MP · physics.comp-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{V4CBJEJBSZ2KPRECCJWGG4JINL}

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	2026-05-18T04:38:25.355094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af041491219674a7c482126c6371286aed9463936ec86db18b4c080236751274

Aliases

arxiv: hep-th/0612240 · arxiv_version: hep-th/0612240v2 · doi: 10.48550/arxiv.hep-th/0612240 · pith_short_12: V4CBJEJBSZ2K · pith_short_16: V4CBJEJBSZ2KPREC · pith_short_8: V4CBJEJB

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/V4CBJEJBSZ2KPRECCJWGG4JINL \
  | 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: af041491219674a7c482126c6371286aed9463936ec86db18b4c080236751274

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8535a25a5711359a95983a073bf1dda01e32cdd423bf77689f940ab476297cb7",
    "cross_cats_sorted": [
      "cs.SC",
      "hep-ph",
      "math-ph",
      "math.CA",
      "math.MP",
      "physics.comp-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2006-12-21T17:52:31Z",
    "title_canon_sha256": "f4a4936d64d556592d6eb8d2d1174d1427a8e36b3e7c74229fc02d193f59df9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0612240",
    "kind": "arxiv",
    "version": 2
  }
}