Pith Number

pith:4I4NVCIN

pith:1993:4I4NVCIN6HFJSDES427U7J7PZ6

not attested not anchored not stored refs pending

Computation of $\beta(g_c)$ at O(1/N^2) in the O(N) Gross Neveu Model in Arbitrary Dimensions

J.A. Gracey

arxiv:hep-th/9306106 v1 · 1993-06-21 · 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{4I4NVCIN6HFJSDES427U7J7PZ6}

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

Anomalous dimensions and critical exponents for the Gross-Neveu-Yukawa model at five loops

Receipt and verification

First computed	2026-05-18T01:38:42.615604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e238da890df1ca990c92e6bf4fa7efcf94a0613b7622432fa06aceb0ee7934d2

Aliases

arxiv: hep-th/9306106 · arxiv_version: hep-th/9306106v1 · doi: 10.48550/arxiv.hep-th/9306106 · pith_short_12: 4I4NVCIN6HFJ · pith_short_16: 4I4NVCIN6HFJSDES · pith_short_8: 4I4NVCIN

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/4I4NVCIN6HFJSDES427U7J7PZ6 \
  | 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: e238da890df1ca990c92e6bf4fa7efcf94a0613b7622432fa06aceb0ee7934d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e2783ca90e5dbb1c3d0254a98d5ee8945069029665146bea5092c5f0adacf42",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1993-06-21T14:53:00Z",
    "title_canon_sha256": "222527d0065001d4f13c1a49c1284c5d9e6e7a25a8727d8158d516adffaebfa3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9306106",
    "kind": "arxiv",
    "version": 1
  }
}