Pith Number

pith:3O6VHGJD

pith:1997:3O6VHGJDDKVRIKSDWBB47GZP3V

not attested not anchored not stored refs pending

Non-perturbative Expansion, Renormalons, and $\tau$ Decay

A. Ritz, H.F. Jones, I.L. Solovtsov

arxiv:hep-ph/9706217 v1 · 1997-06-02 · 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{3O6VHGJDDKVRIKSDWBB47GZP3V}

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	2026-05-18T02:37:00.953181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbbd5399231aab142a43b043cf9b2fdd4d2d5ec0f23d13852edef89ab8578be2

Aliases

arxiv: hep-ph/9706217 · arxiv_version: hep-ph/9706217v1 · doi: 10.48550/arxiv.hep-ph/9706217 · pith_short_12: 3O6VHGJDDKVR · pith_short_16: 3O6VHGJDDKVRIKSD · pith_short_8: 3O6VHGJD

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/3O6VHGJDDKVRIKSDWBB47GZP3V \
  | 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: dbbd5399231aab142a43b043cf9b2fdd4d2d5ec0f23d13852edef89ab8578be2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f85dea1f809eac182f53df1c29d2860b1bb39512e88c1c55c538c5ebe67dcab",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1997-06-02T17:10:10Z",
    "title_canon_sha256": "368146579c11e7329b77e172c3f0442a05ac9fcb78e8975e0d3c5ccd2cfa8bb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9706217",
    "kind": "arxiv",
    "version": 1
  }
}