Pith Number

pith:OG2MF77R

pith:1998:OG2MF77R5C6VKUUE7QSS5HCKDZ

not attested not anchored not stored refs pending

Renormalon chains contributions to the non-singlet evolutional kernels in QCD

S.V. Mikhailov

arxiv:hep-ph/9804263 v4 · 1998-04-09 · 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{OG2MF77R5C6VKUUE7QSS5HCKDZ}

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	2026-05-18T02:36:58.543835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71b4c2fff1e8bd555284fc252e9c4a1e6e46aa37aac45ce39837928ddc9685b6

Aliases

arxiv: hep-ph/9804263 · arxiv_version: hep-ph/9804263v4 · doi: 10.48550/arxiv.hep-ph/9804263 · pith_short_12: OG2MF77R5C6V · pith_short_16: OG2MF77R5C6VKUUE · pith_short_8: OG2MF77R

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/OG2MF77R5C6VKUUE7QSS5HCKDZ \
  | 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: 71b4c2fff1e8bd555284fc252e9c4a1e6e46aa37aac45ce39837928ddc9685b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9f506aec652d6b2c3cd0e8e76c9e046b235246b4814e12f3e3a18b3c4ff0264",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1998-04-09T07:58:03Z",
    "title_canon_sha256": "7584c4dc1129161b914ac29d018ad81dacc68244ed5631e3fe15aec66e7e0284"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9804263",
    "kind": "arxiv",
    "version": 4
  }
}