Pith Number

pith:NG52SYWE

pith:2015:NG52SYWEN5JGRJZ2IKABGP47C2

not attested not anchored not stored refs pending

The two-loop sunrise integral around four space-time dimensions and generalisations of the Clausen and Glaisher functions towards the elliptic case

Christian Bogner, Luise Adams, Stefan Weinzierl

arxiv:1504.03255 v1 · 2015-04-13 · hep-ph · hep-th · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NG52SYWEN5JGRJZ2IKABGP47C2}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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

1 paper in Pith

Recurrence Relations and Dispersive Techniques for Precision Multi-Loop Calculations

Receipt and verification

First computed	2026-05-18T02:18:58.797562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69bba962c46f5268a73a4280133f9f16b396e8b94f1db3ed1f88a032e5860748

Aliases

arxiv: 1504.03255 · arxiv_version: 1504.03255v1 · doi: 10.48550/arxiv.1504.03255 · pith_short_12: NG52SYWEN5JG · pith_short_16: NG52SYWEN5JGRJZ2 · pith_short_8: NG52SYWE

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/NG52SYWEN5JGRJZ2IKABGP47C2 \
  | 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: 69bba962c46f5268a73a4280133f9f16b396e8b94f1db3ed1f88a032e5860748

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0866415ea3f09baf938a00bb591b006064b2328a44b37e396a323b55c51531d",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2015-04-13T16:57:04Z",
    "title_canon_sha256": "106c21e0c80ce7c89d07dbfd69bfa0b43390ddeeea31cb7dd68032a9bb136d95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03255",
    "kind": "arxiv",
    "version": 1
  }
}