Pith Number

pith:PJCJBK3N

pith:2023:PJCJBK3NHJ6E5EUMEB7PHS4XUR

not attested not anchored not stored refs pending

Soft Theorem to Three Loops in QCD and ${\cal N} = 4$ Super Yang-Mills Theory

Hua Xing Zhu, Ming-Xing Luo, Tong-Zhi Yang, Wen Chen

arxiv:2309.03832 v2 · 2023-09-07 · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PJCJBK3NHJ6E5EUMEB7PHS4XUR}

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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

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T07:36:53.889276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a4490ab6d3a7c4e928c207ef3cb97a4736970bec09f2a926168718ecc13b6a3

Aliases

arxiv: 2309.03832 · arxiv_version: 2309.03832v2 · doi: 10.48550/arxiv.2309.03832 · pith_short_12: PJCJBK3NHJ6E · pith_short_16: PJCJBK3NHJ6E5EUM · pith_short_8: PJCJBK3N

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/PJCJBK3NHJ6E5EUMEB7PHS4XUR \
  | 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: 7a4490ab6d3a7c4e928c207ef3cb97a4736970bec09f2a926168718ecc13b6a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25e9ed449468853ed44d402ca1e5a7af12623a64154e6254c8664160dfc58300",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2023-09-07T16:47:29Z",
    "title_canon_sha256": "b8d0ff82cfe84cf23570daf5bd8e68d3b85d0e8b8aced05cbda2918f5479aeed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.03832",
    "kind": "arxiv",
    "version": 2
  }
}