Pith Number

pith:DCNZ4CB3

pith:2013:DCNZ4CB32QFQHYJRPLLEMSDOAN

not attested not anchored not stored refs pending

One loop integration with hypergeometric series by using recursion relations

Norihisa Watanabe, Toshiaki KANEKO

arxiv:1309.3118 v1 · 2013-09-12 · 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{DCNZ4CB32QFQHYJRPLLEMSDOAN}

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	2026-05-18T01:47:42.757608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

189b9e083bd40b03e1317ad646486e03564d1cec9a58b8037c6a508a05e71e5a

Aliases

arxiv: 1309.3118 · arxiv_version: 1309.3118v1 · doi: 10.48550/arxiv.1309.3118 · pith_short_12: DCNZ4CB32QFQ · pith_short_16: DCNZ4CB32QFQHYJR · pith_short_8: DCNZ4CB3

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/DCNZ4CB32QFQHYJRPLLEMSDOAN \
  | 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: 189b9e083bd40b03e1317ad646486e03564d1cec9a58b8037c6a508a05e71e5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b02543899b2d97d36253f5169e99af901f0152fbbddf6ca98a9709015c2f108",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2013-09-12T11:30:29Z",
    "title_canon_sha256": "887afcf360bc56397c737dac611046d0d82c4de36c8be7cb5143ceb61c8e54ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3118",
    "kind": "arxiv",
    "version": 1
  }
}