Pith Number

pith:VSIDK35W

pith:1999:VSIDK35W3CBTEAXMYXX6CEWLXJ

not attested not anchored not stored refs pending

Heavy Quark Expansion and Preasymptotic Corrections to Decay Widths in the 't Hooft Model

Ikaros Bigi, Nikolai Uraltsev

arxiv:hep-ph/9902315 v2 · 1999-02-11 · 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{VSIDK35W3CBTEAXMYXX6CEWLXJ}

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	2026-05-18T02:36:28.284236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac90356fb6d8833202ecc5efe112cbba70972c5e9b88f306c9d69f0258955949

Aliases

arxiv: hep-ph/9902315 · arxiv_version: hep-ph/9902315v2 · doi: 10.48550/arxiv.hep-ph/9902315 · pith_short_12: VSIDK35W3CBT · pith_short_16: VSIDK35W3CBTEAXM · pith_short_8: VSIDK35W

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/VSIDK35W3CBTEAXMYXX6CEWLXJ \
  | 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: ac90356fb6d8833202ecc5efe112cbba70972c5e9b88f306c9d69f0258955949

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77169a8dcd2dce2b9fe682fffb2f9b8f153428523707fe43c2bd8feeb8317ec2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-02-11T06:54:21Z",
    "title_canon_sha256": "abb092ac23ef41c6c1b17a4bde83d077a5af7dea7eef505be9c466ca10e5c004"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9902315",
    "kind": "arxiv",
    "version": 2
  }
}