Pith Number

pith:S3BBHNUL

pith:2001:S3BBHNULWNTC6EB2UOKCUKWE6O

not attested not anchored not stored refs pending

Entropy of Operator-valued Random Variables: A Variational Principle for Large N Matrix Models

G. S. Krishnaswami, L. Akant, S. G. Rajeev (U. Rochester)

arxiv:hep-th/0111263 v2 · 2001-11-28 · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S3BBHNULWNTC6EB2UOKCUKWE6O}

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	2026-05-18T02:36:11.372262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96c213b68bb3662f103aa3942a2ac4f3aeebf6df6890397e9403d3b662320ddd

Aliases

arxiv: hep-th/0111263 · arxiv_version: hep-th/0111263v2 · doi: 10.48550/arxiv.hep-th/0111263 · pith_short_12: S3BBHNULWNTC · pith_short_16: S3BBHNULWNTC6EB2 · pith_short_8: S3BBHNUL

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/S3BBHNULWNTC6EB2UOKCUKWE6O \
  | 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: 96c213b68bb3662f103aa3942a2ac4f3aeebf6df6890397e9403d3b662320ddd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b78aaceb2d42db45c68022d2e7546e25c003d504aceef45bfc16d44ffdb27c9f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2001-11-28T20:25:37Z",
    "title_canon_sha256": "ebf975af6fef70e1bae25601b1017f39803bea2bfab95665afdefdbd3e571f9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0111263",
    "kind": "arxiv",
    "version": 2
  }
}