Pith Number

pith:CWXPKQFX

pith:2014:CWXPKQFXZJTSZY66DZGRIDJ3AV

not attested not anchored not stored refs pending

The two-loop sunrise graph in two space-time dimensions with arbitrary masses in terms of elliptic dilogarithms

Christian Bogner, Luise Adams, Stefan Weinzierl

arxiv:1405.5640 v2 · 2014-05-22 · hep-ph · hep-th · math-ph · 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{CWXPKQFXZJTSZY66DZGRIDJ3AV}

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.

Cited by

2 papers in Pith

The spectrum of Feynman-integral geometries at two loops

Genus drop involving non-hyperelliptic curves in Feynman integrals

Receipt and verification

First computed	2026-05-18T01:43:09.421425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15aef540b7ca672ce3de1e4d140d3b0557d58384b88939faee50660e009ee933

Aliases

arxiv: 1405.5640 · arxiv_version: 1405.5640v2 · doi: 10.48550/arxiv.1405.5640 · pith_short_12: CWXPKQFXZJTS · pith_short_16: CWXPKQFXZJTSZY66 · pith_short_8: CWXPKQFX

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/CWXPKQFXZJTSZY66DZGRIDJ3AV \
  | 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: 15aef540b7ca672ce3de1e4d140d3b0557d58384b88939faee50660e009ee933

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "741ca8927c9181db005eb6b5b30114aab00628a7e8fc78b21965368e5942df13",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2014-05-22T07:19:51Z",
    "title_canon_sha256": "c6cc8aaf11fc2925009e558a8b7654d634a68f0a8618f2adaa36efdfca08910a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.5640",
    "kind": "arxiv",
    "version": 2
  }
}