Pith Number

pith:WSLMBMA5

pith:1993:WSLMBMA5DUWLRZAG2XWM73QQ4V

not attested not anchored not stored refs pending

On Calculation of $2+\veps$ RG Functions in the Gross Neveu Model from Large $N$ Expansions of Critical Exponents

A.N. Vasil'ev, A.S. Stepanenko, N.A. Kivel

arxiv:hep-th/9308073 v1 · 1993-08-16 · 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{WSLMBMA5DUWLRZAG2XWM73QQ4V}

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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	2026-07-04T15:56:17.332188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b496c0b01d1d2cb8e406d5eccfee10e57c3c5df4c80dd160d5c6dbc43f2dc5d3

Aliases

arxiv: hep-th/9308073 · arxiv_version: hep-th/9308073v1 · doi: 10.48550/arxiv.hep-th/9308073 · pith_short_12: WSLMBMA5DUWL · pith_short_16: WSLMBMA5DUWLRZAG · pith_short_8: WSLMBMA5

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/WSLMBMA5DUWLRZAG2XWM73QQ4V \
  | 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: b496c0b01d1d2cb8e406d5eccfee10e57c3c5df4c80dd160d5c6dbc43f2dc5d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f388260bcf5237e8efdf85d1bc602264cbb421d4ded4f7f8ee3c7bc5032efa0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1993-08-16T12:20:32Z",
    "title_canon_sha256": "80020b773bc3b110bb64994a9a185f001701178cbb00e6858ca66f4e13a7757a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9308073",
    "kind": "arxiv",
    "version": 1
  }
}