Pith Number

pith:QZFXDYGS

pith:2007:QZFXDYGSRMSC2XDIS5WKORXGBH

not attested not anchored not stored refs pending

Gauge invariance and renormalization-group effects in transverse-momentum dependent parton distribution functions

I. O. Cherednikov, N. G. Stefanis

arxiv:0711.1278 v1 · 2007-11-08 · 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{QZFXDYGSRMSC2XDIS5WKORXGBH}

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	2026-07-04T15:30:42.861739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

864b71e0d28b242d5c68976ca746e609d8bf5a65ac69fe39e89d7c1a29c26baa

Aliases

arxiv: 0711.1278 · arxiv_version: 0711.1278v1 · doi: 10.48550/arxiv.0711.1278 · pith_short_12: QZFXDYGSRMSC · pith_short_16: QZFXDYGSRMSC2XDI · pith_short_8: QZFXDYGS

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/QZFXDYGSRMSC2XDIS5WKORXGBH \
  | 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: 864b71e0d28b242d5c68976ca746e609d8bf5a65ac69fe39e89d7c1a29c26baa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5acb03a180b5fd58db5faa36dc7fc9dd7d400fed62db6e90e8ba76046b0f7cc",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2007-11-08T14:41:21Z",
    "title_canon_sha256": "f2bcc7b339b40e70bc19a95e817f5e8a6fab019220cbf87d7ceb28e06a89bcbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.1278",
    "kind": "arxiv",
    "version": 1
  }
}