Pith Number

pith:FRZ3CAUY

pith:2016:FRZ3CAUYO3HZTFRLJFPLZLSBFO

not attested not anchored not stored refs pending

Four loop renormalization of the Gross-Neveu model

J.A. Gracey, T. Luthe, Y. Schroder

arxiv:1609.05071 v1 · 2016-09-16 · hep-th · cond-mat.dis-nn · cond-mat.mes-hall · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FRZ3CAUYO3HZTFRLJFPLZLSBFO}

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

Four-loop Anomalous Dimensions of Scalar-QED Theory from Operator Product Expansion

Receipt and verification

First computed	2026-05-18T00:51:46.329769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c73b1029876cf99962b495ebcae412b8244b07c6526292ea786cc8bf7f1112e

Aliases

arxiv: 1609.05071 · arxiv_version: 1609.05071v1 · doi: 10.48550/arxiv.1609.05071 · pith_short_12: FRZ3CAUYO3HZ · pith_short_16: FRZ3CAUYO3HZTFRL · pith_short_8: FRZ3CAUY

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/FRZ3CAUYO3HZTFRLJFPLZLSBFO \
  | 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: 2c73b1029876cf99962b495ebcae412b8244b07c6526292ea786cc8bf7f1112e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e8cb6d22aee0c152d659fdcd6a64376bc7d9e4ed2ef4dbf2a6267406f96b12a",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cond-mat.mes-hall",
      "cond-mat.str-el"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-09-16T14:16:00Z",
    "title_canon_sha256": "5c32fbaad18db0b51c1951d9b45171f2a9b56bcc0653c2c2939ab3190d37da24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05071",
    "kind": "arxiv",
    "version": 1
  }
}