Pith Number

pith:UMKC5QNM

pith:2013:UMKC5QNMCX6Q4YSPYEQLHG7XRI

not attested not anchored not stored refs pending

The Numerically Optimized Regulator and the Functional Renormalization Group

I. G. Marian, I. Nandori, U. D. Jentschura

arxiv:1311.7377 v3 · 2013-11-28 · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UMKC5QNMCX6Q4YSPYEQLHG7XRI}

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	2026-05-18T02:56:20.922007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3142ec1ac15fd0e624fc120b39bf78a0f936b08c9512e0f0502f293abb12737

Aliases

arxiv: 1311.7377 · arxiv_version: 1311.7377v3 · doi: 10.48550/arxiv.1311.7377 · pith_short_12: UMKC5QNMCX6Q · pith_short_16: UMKC5QNMCX6Q4YSP · pith_short_8: UMKC5QNM

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/UMKC5QNMCX6Q4YSPYEQLHG7XRI \
  | 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: a3142ec1ac15fd0e624fc120b39bf78a0f936b08c9512e0f0502f293abb12737

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c2b5f611c8fec06b4718e73269e07d71002d7a4bcd3ac7aade4538bb77f0dbc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-11-28T17:21:15Z",
    "title_canon_sha256": "494e25359181d1022004291ee507dc010a3b92acfbc378464d04612d621b3a2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7377",
    "kind": "arxiv",
    "version": 3
  }
}