Pith Number

pith:3C3KLK5X

pith:2016:3C3KLK5XRSPUEMGL23K7MLMCGZ

not attested not anchored not stored refs pending

Anomalous Dimensions and the Renormalizability of the Four-Fermion Interaction

Philip D. Mannheim

arxiv:1611.09129 v2 · 2016-11-28 · hep-th · 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{3C3KLK5XRSPUEMGL23K7MLMCGZ}

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	2026-05-18T00:33:22.244999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8b6a5abb78c9f4230cbd6d5f62d82364658be7f069be8d5a3e38a638e376c44

Aliases

arxiv: 1611.09129 · arxiv_version: 1611.09129v2 · doi: 10.48550/arxiv.1611.09129 · pith_short_12: 3C3KLK5XRSPU · pith_short_16: 3C3KLK5XRSPUEMGL · pith_short_8: 3C3KLK5X

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/3C3KLK5XRSPUEMGL23K7MLMCGZ \
  | 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: d8b6a5abb78c9f4230cbd6d5f62d82364658be7f069be8d5a3e38a638e376c44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "541ec30b4d7461d7fd7a9ccee4aad41a4bd8219606165e51a37a527860f84e09",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-11-28T14:17:14Z",
    "title_canon_sha256": "cc99e1c1dda64dd1a0d9e5064c535654af06df568f5e0a79ee73c4d60121cb45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.09129",
    "kind": "arxiv",
    "version": 2
  }
}