Pith Number

pith:UNQL2JMA

pith:2017:UNQL2JMAG5G2YVFDEROQIBWX2Q

not attested not anchored not stored refs pending

Introduction to Random Matrices - Theory and Practice

Giacomo Livan, Marcel Novaes, Pierpaolo Vivo

arxiv:1712.07903 v1 · 2017-12-21 · math-ph · cond-mat.stat-mech · 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{UNQL2JMAG5G2YVFDEROQIBWX2Q}

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.

Cited by

1 paper in Pith

Derivative relations for determinants, Pfaffians and characteristic polynomials in random matrix theory

Receipt and verification

First computed	2026-05-18T00:27:29.393408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a360bd2580374dac54a3245d0406d7d41a221dde6b0bdab2ec074f78e04484e6

Aliases

arxiv: 1712.07903 · arxiv_version: 1712.07903v1 · doi: 10.48550/arxiv.1712.07903 · pith_short_12: UNQL2JMAG5G2 · pith_short_16: UNQL2JMAG5G2YVFD · pith_short_8: UNQL2JMA

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/UNQL2JMAG5G2YVFDEROQIBWX2Q \
  | 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: a360bd2580374dac54a3245d0406d7d41a221dde6b0bdab2ec074f78e04484e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c1c76af387ced02e5e461ce3247cdd1081f04bbff8d17735757e19124418059",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-12-21T12:27:08Z",
    "title_canon_sha256": "36570223e7add03ada545e7335f09554ac9ea31e47db0421e515c8125e827d53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07903",
    "kind": "arxiv",
    "version": 1
  }
}