Pith Number

pith:KIGUPN6H

pith:2000:KIGUPN6H2QLL3PUEC42LMYQMLP

not attested not anchored not stored refs pending

Soft Resummation of Quark Anomalous Dimensions and Coefficient Functions in MS-bar Factorization

Richard D. Ball, Simon Albino

arxiv:hep-ph/0011133 v1 · 2000-11-09 · 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{KIGUPN6H2QLL3PUEC42LMYQMLP}

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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

Threshold resummation of rapidity distributions at fixed partonic rapidity

Properties and implications of the four-loop non-singlet splitting functions in QCD

Receipt and verification

First computed	2026-05-18T02:36:49.079616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

520d47b7c7d416bdbe841734b6620c5bc4c9619aa64b084181ac00e82bee2d64

Aliases

arxiv: hep-ph/0011133 · arxiv_version: hep-ph/0011133v1 · doi: 10.48550/arxiv.hep-ph/0011133 · pith_short_12: KIGUPN6H2QLL · pith_short_16: KIGUPN6H2QLL3PUE · pith_short_8: KIGUPN6H

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/KIGUPN6H2QLL3PUEC42LMYQMLP \
  | 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: 520d47b7c7d416bdbe841734b6620c5bc4c9619aa64b084181ac00e82bee2d64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2478190c4aaf92327bcacbd11e13d2a0fe8551a5e428f7853b4454d2bb66295b",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2000-11-09T17:20:37Z",
    "title_canon_sha256": "372543feb711c6d543e866db1f6c4e84d3747b2b79c5f41205c9499f2a071853"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0011133",
    "kind": "arxiv",
    "version": 1
  }
}