Pith Number

pith:R4KUZ2YD

pith:2013:R4KUZ2YDIMOI5CFFMC24C4OYEQ

not attested not anchored not stored refs pending

Fermion mass mixing and vacuum triviality in the renormalization group procedure for effective particles

Stanislaw D. Glazek

arxiv:1305.3702 v1 · 2013-05-16 · 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{R4KUZ2YDIMOI5CFFMC24C4OYEQ}

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	2026-05-18T01:49:56.545184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f154ceb03431c8e88a560b5c171d82422eb09070e9303c0afccac31797ac473

Aliases

arxiv: 1305.3702 · arxiv_version: 1305.3702v1 · doi: 10.48550/arxiv.1305.3702 · pith_short_12: R4KUZ2YDIMOI · pith_short_16: R4KUZ2YDIMOI5CFF · pith_short_8: R4KUZ2YD

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/R4KUZ2YDIMOI5CFFMC24C4OYEQ \
  | 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: 8f154ceb03431c8e88a560b5c171d82422eb09070e9303c0afccac31797ac473

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9b8b607376b27bc6696522e446888c8256979d83d2568026d92ea3d51515df9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-05-16T08:05:31Z",
    "title_canon_sha256": "039caeab4ef4690ac7e8fb464cdf5b3f1e3a1bedda0693306e81c55117b44797"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3702",
    "kind": "arxiv",
    "version": 1
  }
}