Pith Number

pith:NDJEKCJ2

pith:2010:NDJEKCJ2TLDHDCUXXNQTNUFRTV

not attested not anchored not stored refs pending

Large N flavor beta-functions: a recap

B. Holdom

arxiv:1006.2119 v4 · 2010-06-10 · hep-ph · 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{NDJEKCJ2TLDHDCUXXNQTNUFRTV}

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

Probing Large $N_f$ Through Schemes

Receipt and verification

First computed	2026-05-18T04:39:00.071797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68d245093a9ac6718a97bb6136d0b19d6131c86745b27d5ab37a053669f713ac

Aliases

arxiv: 1006.2119 · arxiv_version: 1006.2119v4 · doi: 10.48550/arxiv.1006.2119 · pith_short_12: NDJEKCJ2TLDH · pith_short_16: NDJEKCJ2TLDHDCUX · pith_short_8: NDJEKCJ2

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/NDJEKCJ2TLDHDCUXXNQTNUFRTV \
  | 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: 68d245093a9ac6718a97bb6136d0b19d6131c86745b27d5ab37a053669f713ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dcdd4db6b0e35982c3cafb056db25769aa00dea7fca6b1f32366ccc2726552d",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2010-06-10T19:09:38Z",
    "title_canon_sha256": "f9c3169d30b75cd6d27c16ce1b42fc013a8abbda2750235f1720ec131a56b0fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.2119",
    "kind": "arxiv",
    "version": 4
  }
}