Pith Number

pith:OAYSZMKB

pith:2001:OAYSZMKB4HPSZJ3YIUGHQ6NZII

not attested not anchored not stored refs pending

Perturbative expansions in QCD and analytic properties of alpha_s

Yu.A.Simonov (ITEP)

arxiv:hep-ph/0109081 v1 · 2001-09-10 · 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{OAYSZMKB4HPSZJ3YIUGHQ6NZII}

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	2026-05-18T04:17:45.422243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70312cb141e1df2ca778450c7879b9421aa105b3672837bb36bf80d3d5d4020e

Aliases

arxiv: hep-ph/0109081 · arxiv_version: hep-ph/0109081v1 · doi: 10.48550/arxiv.hep-ph/0109081 · pith_short_12: OAYSZMKB4HPS · pith_short_16: OAYSZMKB4HPSZJ3Y · pith_short_8: OAYSZMKB

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/OAYSZMKB4HPSZJ3YIUGHQ6NZII \
  | 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: 70312cb141e1df2ca778450c7879b9421aa105b3672837bb36bf80d3d5d4020e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9bc0153b5e9653bdbd9707ac9a69cdbecb2141fae9085411babff9a4ad4268c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2001-09-10T14:31:52Z",
    "title_canon_sha256": "4720da78848a319b48d541c7e705c3ea955ea8a09467d93be17c6c243a19828f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0109081",
    "kind": "arxiv",
    "version": 1
  }
}