Pith Number

pith:Y5WEOO4E

pith:2011:Y5WEOO4ETP6Z5Q4RM5FWKL4ONL

not attested not anchored not stored refs pending

Expansion functions in perturbative QCD and the determination of $\alpha_s(M_\tau^2)$

Irinel Caprini, Jan Fischer

arxiv:1106.5336 v2 · 2011-06-27 · 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{Y5WEOO4ETP6Z5Q4RM5FWKL4ONL}

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

Hadronic tau decays at higher orders in QCD

Receipt and verification

First computed	2026-05-18T04:11:28.479547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c76c473b849bfd9ec391674b652f8e6afdab7eb4b98116fff440a6ae447804b3

Aliases

arxiv: 1106.5336 · arxiv_version: 1106.5336v2 · doi: 10.48550/arxiv.1106.5336 · pith_short_12: Y5WEOO4ETP6Z · pith_short_16: Y5WEOO4ETP6Z5Q4R · pith_short_8: Y5WEOO4E

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/Y5WEOO4ETP6Z5Q4RM5FWKL4ONL \
  | 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: c76c473b849bfd9ec391674b652f8e6afdab7eb4b98116fff440a6ae447804b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b506bb544f5001a9b2e93035904938c06737b367c58f2cb4a8d45937a317e8af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-06-27T09:31:02Z",
    "title_canon_sha256": "bc599f87047b92fd8c2edc081c6d2bec0f41f62bd6d931a0efcf3d6f514f6948"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5336",
    "kind": "arxiv",
    "version": 2
  }
}