Pith Number

pith:5JCKY5GK

pith:2011:5JCKY5GKHOU4FCOKQ6B3HAS5ZB

not attested not anchored not stored refs pending

Wilson lines in the operator definition of TMDs: spin degrees of freedom and renormalization

A.I. Karanikas, I.O. Cherednikov, N.G. Stefanis

arxiv:1108.4612 v1 · 2011-08-23 · hep-ph · hep-lat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5JCKY5GKHOU4FCOKQ6B3HAS5ZB}

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.

Receipt and verification

First computed	2026-05-18T04:14:54.086697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea44ac74ca3ba9c289ca8783b3825dc8753f54a6670527d1affe4dde084d32ef

Aliases

arxiv: 1108.4612 · arxiv_version: 1108.4612v1 · doi: 10.48550/arxiv.1108.4612 · pith_short_12: 5JCKY5GKHOU4 · pith_short_16: 5JCKY5GKHOU4FCOK · pith_short_8: 5JCKY5GK

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/5JCKY5GKHOU4FCOKQ6B3HAS5ZB \
  | 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: ea44ac74ca3ba9c289ca8783b3825dc8753f54a6670527d1affe4dde084d32ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04928bd04bc3f59ee3e042042f939b50bbb3fb3951713eebad99ead75c5ef15d",
    "cross_cats_sorted": [
      "hep-lat"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-08-23T14:32:14Z",
    "title_canon_sha256": "672d2f1d9caebc88dca13b466ac568414bb5281ce5ce2b745702a483484e8b72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4612",
    "kind": "arxiv",
    "version": 1
  }
}