Pith Number

pith:H4AFD7R2

pith:2020:H4AFD7R2JRQB35GA2RODFH7WTO

not attested not anchored not stored refs pending

Towards the QED beta function and renormalons at $1/N_f^2$ and $1/N_f^3$

Francesco Sannino, Gerald V. Dunne, Manuel Reichert, Nicola Andrea Dondi

arxiv:2003.08397 v2 · 2020-03-18 · hep-th · hep-lat · 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{H4AFD7R2JRQB35GA2RODFH7WTO}

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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

Probing Large $N_f$ Through Schemes

Receipt and verification

First computed	2026-07-05T01:26:10.661349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f0051fe3a4c601df4c0d45c329ff69b8c3425a76dffbb731ba6120ef67da097

Aliases

arxiv: 2003.08397 · arxiv_version: 2003.08397v2 · doi: 10.48550/arxiv.2003.08397 · pith_short_12: H4AFD7R2JRQB · pith_short_16: H4AFD7R2JRQB35GA · pith_short_8: H4AFD7R2

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/H4AFD7R2JRQB35GA2RODFH7WTO \
  | 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: 3f0051fe3a4c601df4c0d45c329ff69b8c3425a76dffbb731ba6120ef67da097

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a21fe6606e6264d8de1bbcbc74ddef2b03594af9042354bc41a10100bb068f8",
    "cross_cats_sorted": [
      "hep-lat",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2020-03-18T18:00:02Z",
    "title_canon_sha256": "8aa616e76e04218c30ed9a1fe9183eedcb3635facf904bbab21a755a1bf9d4cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.08397",
    "kind": "arxiv",
    "version": 2
  }
}