Pith Number

pith:DKQQOQDR

pith:1995:DKQQOQDRGVXL3N2OKY3QVOBYD3

not attested not anchored not stored refs pending

Pade Approximants, Borel Transforms and Renormalons: the Bjorken Sum Rule as a Case Study

Einan Gardi, John Ellis, Marek Karliner, Mark A. Samuel

arxiv:hep-ph/9509312 v1 · 1995-09-17 · 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{DKQQOQDRGVXL3N2OKY3QVOBYD3}

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

Asymptotic Pad\'e Predictions up to Six Loops in QCD and Eight Loops in $\lambda\phi^4$

Receipt and verification

First computed	2026-07-04T15:49:17.856043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1aa1074071356ebdb74e56370ab8381ef671049073176373218a0d49de1f8baa

Aliases

arxiv: hep-ph/9509312 · arxiv_version: hep-ph/9509312v1 · doi: 10.48550/arxiv.hep-ph/9509312 · pith_short_12: DKQQOQDRGVXL · pith_short_16: DKQQOQDRGVXL3N2O · pith_short_8: DKQQOQDR

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/DKQQOQDRGVXL3N2OKY3QVOBYD3 \
  | 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: 1aa1074071356ebdb74e56370ab8381ef671049073176373218a0d49de1f8baa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6471d5f6834e675ea2bcaee6026bb8cb5e8f48828449dda07c4b235fa9f565df",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1995-09-17T16:21:00Z",
    "title_canon_sha256": "a8b8e1233e195a2321f201a3b54e9dd721567568aafb00272bef7028ac36f6a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9509312",
    "kind": "arxiv",
    "version": 1
  }
}