Pith Number

pith:MTD6GZC3

pith:2014:MTD6GZC3WJZTPPXEUZCDK73AEE

not attested not anchored not stored refs pending

Universal Asymptotic Eigenvalue Distribution of Large $N$ Random Matrices --- A Direct Diagrammatic Proof to Marchenko-Pastur Law ---

Hitoshi Murayama, Xiaochuan Lu

arxiv:1410.3503 v3 · 2014-10-13 · hep-th · hep-ph · 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{MTD6GZC3WJZTPPXEUZCDK73AEE}

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	2026-05-18T02:16:20.746793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64c7e3645bb27337bee4a644357f602120579b1bd3b8281821df30a8d1108411

Aliases

arxiv: 1410.3503 · arxiv_version: 1410.3503v3 · doi: 10.48550/arxiv.1410.3503 · pith_short_12: MTD6GZC3WJZT · pith_short_16: MTD6GZC3WJZTPPXE · pith_short_8: MTD6GZC3

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/MTD6GZC3WJZTPPXEUZCDK73AEE \
  | 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: 64c7e3645bb27337bee4a644357f602120579b1bd3b8281821df30a8d1108411

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39fb051e8a89357ab8954787a6998c7f7708b602b6a702fd88cd4a964c8a35af",
    "cross_cats_sorted": [
      "hep-ph",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2014-10-13T20:27:41Z",
    "title_canon_sha256": "7c58099f0063d74e059cf46dc3f65ccb422d04e9b942a878ce4f97afd95a5642"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.3503",
    "kind": "arxiv",
    "version": 3
  }
}