Pith Number

pith:WHM2HIGF

pith:2005:WHM2HIGFL6QAQLO4IDGNEOWPWU

not attested not anchored not stored refs pending

Matrix Models vs. Matrix Integrals

A.Mironov

arxiv:hep-th/0506158 v1 · 2005-06-20 · 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{WHM2HIGFL6QAQLO4IDGNEOWPWU}

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	2026-05-18T04:17:54.799129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1d9a3a0c55fa0082ddc40ccd23acfb505b08a3e5a28311a9e7dc022b282e7c5

Aliases

arxiv: hep-th/0506158 · arxiv_version: hep-th/0506158v1 · doi: 10.48550/arxiv.hep-th/0506158 · pith_short_12: WHM2HIGFL6QA · pith_short_16: WHM2HIGFL6QAQLO4 · pith_short_8: WHM2HIGF

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/WHM2HIGFL6QAQLO4IDGNEOWPWU \
  | 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: b1d9a3a0c55fa0082ddc40ccd23acfb505b08a3e5a28311a9e7dc022b282e7c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb1469afca292e2e69354e9dab2e2322b7416b4bce6570e62200b77fa6d317d3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2005-06-20T19:43:25Z",
    "title_canon_sha256": "d4d683d7dcebee65c9dca71a4890545455dc2809f893ae9fa3e68d4f441330cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0506158",
    "kind": "arxiv",
    "version": 1
  }
}