Pith Number

pith:PCZNOKUV

pith:2024:PCZNOKUV4BTCKY2SAVHVFCRGH7

not attested not anchored not stored refs pending

Solving arbitrary one-loop reduction via generating function

Liang Zhang, Tingfei Li, Yuekai Song

arxiv:2404.04644 v4 · 2024-04-06 · 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{PCZNOKUV4BTCKY2SAVHVFCRGH7}

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

Efficient AI-Inspired Reduction of Feynman Integrals via Tube Seeding

Feynman Integral Reduction without Integration-By-Parts

Receipt and verification

First computed	2026-07-05T09:56:50.779755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78b2d72a95e066256352054f528a263ff387717ed7a6f31294502d65caf7f4b7

Aliases

arxiv: 2404.04644 · arxiv_version: 2404.04644v4 · doi: 10.48550/arxiv.2404.04644 · pith_short_12: PCZNOKUV4BTC · pith_short_16: PCZNOKUV4BTCKY2S · pith_short_8: PCZNOKUV

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/PCZNOKUV4BTCKY2SAVHVFCRGH7 \
  | 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: 78b2d72a95e066256352054f528a263ff387717ed7a6f31294502d65caf7f4b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "daff4667ed476e1387a15b91800e7ec830c1cc540b8fbcdbe5fc1003eecc4832",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2024-04-06T14:34:35Z",
    "title_canon_sha256": "a3a66747abf758db9cad6be64d7b3b688dbbc01b043e91775921315dd0799d7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.04644",
    "kind": "arxiv",
    "version": 4
  }
}