Pith Number

pith:3DEF7PAV

pith:1998:3DEF7PAVF56M7HR7DTJK4ANC2R

not attested not anchored not stored refs pending

On the enhancement of the QCD running coupling

Croatia), D. Palle (Rugjer Boskovic Institute, Zagreb

arxiv:hep-ph/9804326 v2 · 1998-04-19 · hep-ph · hep-ex · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3DEF7PAVF56M7HR7DTJK4ANC2R}

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	2026-07-04T14:30:31.158612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8c85fbc152f7ccf9e3f1cd2ae01a2d47655b996caeb34282a163f796aae2711

Aliases

arxiv: hep-ph/9804326 · arxiv_version: hep-ph/9804326v2 · doi: 10.48550/arxiv.hep-ph/9804326 · pith_short_12: 3DEF7PAVF56M · pith_short_16: 3DEF7PAVF56M7HR7 · pith_short_8: 3DEF7PAV

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/3DEF7PAVF56M7HR7DTJK4ANC2R \
  | 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: d8c85fbc152f7ccf9e3f1cd2ae01a2d47655b996caeb34282a163f796aae2711

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3633b0423513863a40e10787e8ccb0b199464129fdfa15c0f04b03ae153f0d1a",
    "cross_cats_sorted": [
      "hep-ex",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1998-04-19T18:49:35Z",
    "title_canon_sha256": "a5d1c760f80e65b3e3290a40094fd84fe7163c4ea52cf46692150a529274565f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9804326",
    "kind": "arxiv",
    "version": 2
  }
}