Pith Number

pith:OUGPUP26

pith:1998:OUGPUP26J7MI6IBTHW7PW3LXKR

not attested not anchored not stored refs pending

Non-perturbative running of the average momentum of non-singlet parton densities

K. Jansen, M. Guagnelli, R. Petronzio

arxiv:hep-lat/9809009 v2 · 1998-09-02 · 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{OUGPUP26J7MI6IBTHW7PW3LXKR}

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	2026-07-04T16:09:03.494726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

750cfa3f5e4fd88f20333dbefb6d7754724c84a5b1923664740ce40724233570

Aliases

arxiv: hep-lat/9809009 · arxiv_version: hep-lat/9809009v2 · doi: 10.48550/arxiv.hep-lat/9809009 · pith_short_12: OUGPUP26J7MI · pith_short_16: OUGPUP26J7MI6IBT · pith_short_8: OUGPUP26

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/OUGPUP26J7MI6IBTHW7PW3LXKR \
  | 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: 750cfa3f5e4fd88f20333dbefb6d7754724c84a5b1923664740ce40724233570

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39e4f90c89d4ed71d1365bd25e360be2b27d2e7f27b0fa62af7934f25a62e628",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-lat",
    "submitted_at": "1998-09-02T13:36:52Z",
    "title_canon_sha256": "6b897799597a40e2f44733b1eb7ad7a540349d0ba7862a5d08074acfe87664ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-lat/9809009",
    "kind": "arxiv",
    "version": 2
  }
}