Pith Number

pith:YTRN7Z2F

pith:2023:YTRN7Z2FVPVO7N23B7J2WKFVST

not attested not anchored not stored refs pending

$\varepsilon$-factorized differential equations for two-loop non-planar triangle Feynman integrals with elliptic curves

Jingbang Zhao, Li Lin Yang, Xing Wang, Xuhang Jiang

arxiv:2305.13951 v2 · 2023-05-23 · hep-th · 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{YTRN7Z2FVPVO7N23B7J2WKFVST}

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

4 papers in Pith

CHESS: CHEbyshev pSeudo-Spectral transport for Feynman integral differential equations

From geometry to phenomenology

New algorithms for Feynman integral reduction and $\varepsilon$-factorised differential equations

Integrand Analysis, Leading Singularities and Canonical Bases beyond Polylogarithms

Receipt and verification

First computed	2026-07-05T06:49:22.588798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4e2dfe745abeaefb75b0fd3ab28b594ebcd5326b3d7db863ad1ab0247032fa8

Aliases

arxiv: 2305.13951 · arxiv_version: 2305.13951v2 · doi: 10.48550/arxiv.2305.13951 · pith_short_12: YTRN7Z2FVPVO · pith_short_16: YTRN7Z2FVPVO7N23 · pith_short_8: YTRN7Z2F

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/YTRN7Z2FVPVO7N23B7J2WKFVST \
  | 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: c4e2dfe745abeaefb75b0fd3ab28b594ebcd5326b3d7db863ad1ab0247032fa8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90c9af800658855c34cb43a9eaf6c9bd7bad51ad936582d35cf159a8f75e23af",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2023-05-23T11:25:49Z",
    "title_canon_sha256": "efefb6aa95cdfaa11851378d902f576f57f78ed8160d90ccd2a26e6e985964da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.13951",
    "kind": "arxiv",
    "version": 2
  }
}