Pith Number

pith:XZ3VJMYF

pith:2025:XZ3VJMYF64QMLTEEBIPYJF7EHP

not attested not anchored not stored refs pending

Infrared singularities and the collinear limits of multi-leg scattering amplitudes

Claude Duhr, Einan Gardi, Jonas L\"ubken, Leonardo Vernazza, Sebastian Jaskiewicz

arxiv:2507.21854 v1 · 2025-07-29 · 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{XZ3VJMYF64QMLTEEBIPYJF7EHP}

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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

A simple introduction to soft resummation

Progress on the soft anomalous dimension in QCD

Receipt and verification

First computed	2026-07-05T11:45:08.827082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be7754b305f720c5cc840a1f8497e43bd5d81f804f5fb2366f8248cf63576698

Aliases

arxiv: 2507.21854 · arxiv_version: 2507.21854v1 · doi: 10.48550/arxiv.2507.21854 · pith_short_12: XZ3VJMYF64QM · pith_short_16: XZ3VJMYF64QMLTEE · pith_short_8: XZ3VJMYF

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/XZ3VJMYF64QMLTEEBIPYJF7EHP \
  | 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: be7754b305f720c5cc840a1f8497e43bd5d81f804f5fb2366f8248cf63576698

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d811df2415d5c719d1cb5c1298262e111c69f4d4640d8d60287026b77b607a7",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2025-07-29T14:27:46Z",
    "title_canon_sha256": "96fb9f9134aadbc1dbfd90666e43378d8f3d80e05cd6398f0b01ceceb6dd7be2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.21854",
    "kind": "arxiv",
    "version": 1
  }
}