Pith Number

pith:4JAWMEJE

pith:1998:4JAWMEJED4CBAZQPVO3BT6DKMD

not attested not anchored not stored refs pending

Can the QCD running coupling have a causal analyticity structure?

Einan Gardi, Georges Grunberg, Marek Karliner

arxiv:hep-ph/9806462 v1 · 1998-06-24 · 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{4JAWMEJED4CBAZQPVO3BT6DKMD}

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.

Cited by

1 paper in Pith

Renormalisation

Receipt and verification

First computed	2026-07-04T17:21:01.385594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2416611241f0410660fabb619f86a60fa41a517f1a6731fa1f48c000609bdd4

Aliases

arxiv: hep-ph/9806462 · arxiv_version: hep-ph/9806462v1 · doi: 10.48550/arxiv.hep-ph/9806462 · pith_short_12: 4JAWMEJED4CB · pith_short_16: 4JAWMEJED4CBAZQP · pith_short_8: 4JAWMEJE

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/4JAWMEJED4CBAZQPVO3BT6DKMD \
  | 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: e2416611241f0410660fabb619f86a60fa41a517f1a6731fa1f48c000609bdd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "069f3a8e89d7d0fdd4102e7531da7a0b39a5b9795468b58c0873871cb88af4fe",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1998-06-24T11:26:45Z",
    "title_canon_sha256": "08c067149684c2818a708edc18645879576115db8baae95adb699d5a82156f91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9806462",
    "kind": "arxiv",
    "version": 1
  }
}