Pith Number

pith:NXZMUJR2

pith:2015:NXZMUJR2IQVOWRTMAGKGQAUY4Q

not attested not anchored not stored refs pending

Exact evaluations of some Meijer G-functions and probability of all eigenvalues real for product of two Gaussian matrices

Santosh Kumar

arxiv:1507.05571 v2 · 2015-07-20 · 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{NXZMUJR2IQVOWRTMAGKGQAUY4Q}

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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.

Receipt and verification

First computed	2026-05-18T01:29:53.868550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6df2ca263a442aeb466c0194680298e43fb6f898b06fa6700c9f4e90633ea954

Aliases

arxiv: 1507.05571 · arxiv_version: 1507.05571v2 · doi: 10.48550/arxiv.1507.05571 · pith_short_12: NXZMUJR2IQVO · pith_short_16: NXZMUJR2IQVOWRTM · pith_short_8: NXZMUJR2

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/NXZMUJR2IQVOWRTMAGKGQAUY4Q \
  | 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: 6df2ca263a442aeb466c0194680298e43fb6f898b06fa6700c9f4e90633ea954

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d10cda423e95c2de2c6edbe4632917cbab57b60cf1d7c05d179be8409cc476e",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-07-20T17:52:18Z",
    "title_canon_sha256": "ad51088fbb322a65b92340a956c9febbcd934d967a049c252a4be74d8435327d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05571",
    "kind": "arxiv",
    "version": 2
  }
}