Pith Number

pith:L7LL2HJ7

pith:2018:L7LL2HJ7LA5IHZQKCC4K6UT6DQ

not attested not anchored not stored refs pending

The $\beta$-function for Yukawa theory at large $N_f$

Simone Blasi, Tommi Alanne

arxiv:1806.06954 v3 · 2018-06-18 · 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{L7LL2HJ7LA5IHZQKCC4K6UT6DQ}

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

Safety versus triviality on the lattice

Receipt and verification

First computed	2026-05-18T00:05:55.937259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fd6bd1d3f583a83e60a10b8af527e1c2b2549f47be6d74952272f7b64c5d091

Aliases

arxiv: 1806.06954 · arxiv_version: 1806.06954v3 · doi: 10.48550/arxiv.1806.06954 · pith_short_12: L7LL2HJ7LA5I · pith_short_16: L7LL2HJ7LA5IHZQK · pith_short_8: L7LL2HJ7

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/L7LL2HJ7LA5IHZQKCC4K6UT6DQ \
  | 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: 5fd6bd1d3f583a83e60a10b8af527e1c2b2549f47be6d74952272f7b64c5d091

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "422caa1bcbdadb9c2679552563fcbe1174073ab969ebfe082e0a2a78ef653a44",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2018-06-18T21:13:22Z",
    "title_canon_sha256": "2f8cb68a65656c6efd3b32369266c06dd474cb2c3df167eeaeab3e5319ac0554"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.06954",
    "kind": "arxiv",
    "version": 3
  }
}