Pith Number

pith:PYGB3RF7

pith:1999:PYGB3RF7LMJMF53QFSZ6Y5MQ6E

not attested not anchored not stored refs pending

Renormalization group invariant average momentum of non-singlet parton densities

K. Jansen, M. Guagnelli, R. Petronzio

arxiv:hep-lat/9903012 v1 · 1999-03-07 · 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{PYGB3RF7LMJMF53QFSZ6Y5MQ6E}

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	2026-07-04T16:13:59.722937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e0c1dc4bf5b12c2f7702cb3ec7590f1032e33fdfcb1e9d2629a826e2014a291

Aliases

arxiv: hep-lat/9903012 · arxiv_version: hep-lat/9903012v1 · doi: 10.48550/arxiv.hep-lat/9903012 · pith_short_12: PYGB3RF7LMJM · pith_short_16: PYGB3RF7LMJMF53Q · pith_short_8: PYGB3RF7

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/PYGB3RF7LMJMF53QFSZ6Y5MQ6E \
  | 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: 7e0c1dc4bf5b12c2f7702cb3ec7590f1032e33fdfcb1e9d2629a826e2014a291

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24c7ea530c4addc37d2fbaced458c350c4ff5abbe4a9b94d115f8ad8158497cc",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-lat",
    "submitted_at": "1999-03-07T12:05:12Z",
    "title_canon_sha256": "f8f5bb6a69ca91d73f0ea0b30167a0460eb75624045163eee0ea27bd2a6d51fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-lat/9903012",
    "kind": "arxiv",
    "version": 1
  }
}