Pith Number

pith:EBDYYEUT

pith:2003:EBDYYEUTZ3WQS4HXJ3UOD4RXXX

not attested not anchored not stored refs pending

External Operators and Anomalous Dimensions in Soft-Collinear Effective Theory

Bjoern O. Lange (Cornell U.), Matthias Neubert (Cornell U.), Richard J. Hill (SLAC), Thomas Becher (SLAC)

arxiv:hep-ph/0309227 v1 · 2003-09-19 · 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{EBDYYEUTZ3WQS4HXJ3UOD4RXXX}

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

1 paper in Pith

Infrared Singularities of Scattering Amplitudes and N$^3$LL Resummation for $n$-Jet Processes

Receipt and verification

First computed	2026-07-04T16:40:53.543028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20478c1293ceed0970f74ee8e1f237bdf53dc2c655f7f5403cf254c9e4531370

Aliases

arxiv: hep-ph/0309227 · arxiv_version: hep-ph/0309227v1 · doi: 10.48550/arxiv.hep-ph/0309227 · pith_short_12: EBDYYEUTZ3WQ · pith_short_16: EBDYYEUTZ3WQS4HX · pith_short_8: EBDYYEUT

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/EBDYYEUTZ3WQS4HXJ3UOD4RXXX \
  | 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: 20478c1293ceed0970f74ee8e1f237bdf53dc2c655f7f5403cf254c9e4531370

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67b0c53af715fa1459480e54236cf667932417beac9cc30ead3193980ca106cb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2003-09-19T06:07:36Z",
    "title_canon_sha256": "4e6189dc58c2762af65c9b7668eeec1a01ce43f10d2d12d1cdc1865c10d50858"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0309227",
    "kind": "arxiv",
    "version": 1
  }
}