Pith Number

pith:C7QBN5O2

pith:2012:C7QBN5O2HRYFEVRUO4OTY6ITW6

not attested not anchored not stored refs pending

When epsilon-expansion of hypergeometric functions is expressible in terms of multiple polylogarithms: the two-variables examples

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

arxiv:1212.4719 v1 · 2012-12-19 · hep-th · math-ph · math.CA · 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{C7QBN5O2HRYFEVRUO4OTY6ITW6}

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	2026-05-18T03:36:45.950764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17e016f5da3c70525634771d3c7913b7a2a336b377592003314ad45803422c1c

Aliases

arxiv: 1212.4719 · arxiv_version: 1212.4719v1 · doi: 10.48550/arxiv.1212.4719 · pith_short_12: C7QBN5O2HRYF · pith_short_16: C7QBN5O2HRYFEVRU · pith_short_8: C7QBN5O2

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/C7QBN5O2HRYFEVRUO4OTY6ITW6 \
  | 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: 17e016f5da3c70525634771d3c7913b7a2a336b377592003314ad45803422c1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdef913a0d72d2c105a771403b52b882e98aa25280bdfacc31522da3ed571fd4",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-12-19T16:10:06Z",
    "title_canon_sha256": "53929ef1c39207bd450d14cc4b8c441affa1b8344058c00f431df8ab21208cdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4719",
    "kind": "arxiv",
    "version": 1
  }
}