Pith Number

pith:XQIBCQLM

pith:2001:XQIBCQLMLZDUDADQI4URIZJ7XC

not attested not anchored not stored refs pending

Invariant Operators in Collinear Effective Theory

Christian W. Bauer, Iain W. Stewart

arxiv:hep-ph/0107001 v2 · 2001-07-02 · 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{XQIBCQLMLZDUDADQI4URIZJ7XC}

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

6 papers in Pith

Energy Correlators Resolving Proton Spin

Sivers Tomography from Charge and Angle Only

Polarized Deep Inelastic Scattering as $x \to 1$ using Soft Collinear Effective Theory

Accessing nucleon transversity with one-point energy correlators

Jet Charge with Global Event Shapes: Probing Quark Flavor Dynamics

Receipt and verification

First computed	2026-05-18T04:23:00.048109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc1011416c5e47418070472914653fb8907a3c2bb6f1c77dabc9f0e4ee2fab5e

Aliases

arxiv: hep-ph/0107001 · arxiv_version: hep-ph/0107001v2 · doi: 10.48550/arxiv.hep-ph/0107001 · pith_short_12: XQIBCQLMLZDU · pith_short_16: XQIBCQLMLZDUDADQ · pith_short_8: XQIBCQLM

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/XQIBCQLMLZDUDADQI4URIZJ7XC \
  | 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: bc1011416c5e47418070472914653fb8907a3c2bb6f1c77dabc9f0e4ee2fab5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2288299ad2c0b73eca9a37cc7103f5947634e31b0ad30d2fa50da4649f4d8e76",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2001-07-02T22:09:53Z",
    "title_canon_sha256": "50ca4dfcd2192cb82aefa1f5f65596a54ce2fbef835ba2141b67b262bba43bec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0107001",
    "kind": "arxiv",
    "version": 2
  }
}