Pith Number

pith:E5AZVIC4

pith:2012:E5AZVIC44MNOGHACTP5VB2NXBK

not attested not anchored not stored refs pending

A Recursion Formula for Moments of Derivatives of Random Matrix Polynomials

Ian Petrow, Ian Whitehead, Rishikesh, S. Ali Altug, Sandro Bettin

arxiv:1212.1389 v1 · 2012-12-06 · math.NT · math-ph · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E5AZVIC44MNOGHACTP5VB2NXBK}

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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	2026-05-18T01:10:54.904986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27419aa05ce31ae31c029bfb50e9b70a9dac08f5f4cf1502be954c012ddc574b

Aliases

arxiv: 1212.1389 · arxiv_version: 1212.1389v1 · doi: 10.48550/arxiv.1212.1389 · pith_short_12: E5AZVIC44MNO · pith_short_16: E5AZVIC44MNOGHAC · pith_short_8: E5AZVIC4

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/E5AZVIC44MNOGHACTP5VB2NXBK \
  | 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: 27419aa05ce31ae31c029bfb50e9b70a9dac08f5f4cf1502be954c012ddc574b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36c08c18212edbd8a9fc7c42531fe30caf37ae2d3a93da6176155c23b1150c48",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-12-06T17:33:27Z",
    "title_canon_sha256": "ed15e5c6ffa9f9cd80014de2ed272e72564d35bf279bfba360220d06be7aec30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1389",
    "kind": "arxiv",
    "version": 1
  }
}