Pith Number

pith:JJ2GYLTT

pith:1993:JJ2GYLTTHZRJOB7NDMXXY4DA24

not attested not anchored not stored refs pending

Higher Order Calculations in Renormalization Group Approach to Matrix Models

Yukihisa Itoh

arxiv:hep-th/9307054 v1 · 1993-07-08 · 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{JJ2GYLTTHZRJOB7NDMXXY4DA24}

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	2026-05-18T01:38:42.573372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a746c2e733e629707ed1b2f7c7060d70d88862d6ac4b440392c9b40a71c3aeb

Aliases

arxiv: hep-th/9307054 · arxiv_version: hep-th/9307054v1 · doi: 10.48550/arxiv.hep-th/9307054 · pith_short_12: JJ2GYLTTHZRJ · pith_short_16: JJ2GYLTTHZRJOB7N · pith_short_8: JJ2GYLTT

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/JJ2GYLTTHZRJOB7NDMXXY4DA24 \
  | 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: 4a746c2e733e629707ed1b2f7c7060d70d88862d6ac4b440392c9b40a71c3aeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4683e90fc1589b0f65fef7f42b40f47e7f75602bdb61c8872f8f015a6124c082",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1993-07-08T02:37:04Z",
    "title_canon_sha256": "62b65f1f04383472355e130f75293e73e901e0f71ee56d4e5b3a5110f88ff0e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9307054",
    "kind": "arxiv",
    "version": 1
  }
}