Pith Number

pith:C2JEK2Y3

pith:2024:C2JEK2Y3VKSPRJVXW4NKE7JDAD

not attested not anchored not stored refs pending

Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$

Dao-Ming Mu, Dong-Shan Jian, Rui-Jun Huang, Wen-Hao Wu, Yan-Qing Ma

arxiv:2412.21054 v1 · 2024-12-30 · 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{C2JEK2Y3VKSPRJVXW4NKE7JDAD}

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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

AMFlow 2.0: significant algorithmic and software improvements for Feynman integral evaluation

Tensor decomposition of $e^+e^-\to\pi^+\pi^-\gamma$ to higher orders in the dimensional regulator

Receipt and verification

First computed	2026-07-05T09:55:26.712151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1692456b1baaa4f8a6b7b71aa27d2300f21d5ffd4ca3bb5f0d70c3403aea3554

Aliases

arxiv: 2412.21054 · arxiv_version: 2412.21054v1 · doi: 10.48550/arxiv.2412.21054 · pith_short_12: C2JEK2Y3VKSP · pith_short_16: C2JEK2Y3VKSPRJVX · pith_short_8: C2JEK2Y3

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/C2JEK2Y3VKSPRJVXW4NKE7JDAD \
  | 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: 1692456b1baaa4f8a6b7b71aa27d2300f21d5ffd4ca3bb5f0d70c3403aea3554

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f40507455194af482d73f35e8aa155cb34d5e8a7758879b3128e88e7b7ffa1d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2024-12-30T16:10:37Z",
    "title_canon_sha256": "09d893344c17cc44d353475e504168a216a7f9cdb36d4866ddd4b5f7a8c46dd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.21054",
    "kind": "arxiv",
    "version": 1
  }
}