Pith Number

pith:TJHSH2GE

pith:2016:TJHSH2GEDCVGEVMNLMFUXS523W

not attested not anchored not stored refs pending

Spherical functions approach to sums of random Hermitian matrices

Arno B.J. Kuijlaars, Pablo Rom\'an

arxiv:1611.08932 v1 · 2016-11-27 · math.PR · math-ph · math.CA · math.MP · math.RT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TJHSH2GEDCVGEVMNLMFUXS523W}

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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

Products of Complex Rectangular and Hermitian Random Matrices

Receipt and verification

First computed	2026-07-05T05:02:51.399562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a4f23e8c418aa62558d5b0b4bcbbadd88846166908273a91d7fc4c2f50b6c0c

Aliases

arxiv: 1611.08932 · arxiv_version: 1611.08932v1 · doi: 10.48550/arxiv.1611.08932 · pith_short_12: TJHSH2GEDCVG · pith_short_16: TJHSH2GEDCVGEVMN · pith_short_8: TJHSH2GE

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/TJHSH2GEDCVGEVMNLMFUXS523W \
  | 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: 9a4f23e8c418aa62558d5b0b4bcbbadd88846166908273a91d7fc4c2f50b6c0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "145b9fbf617106f5f897a6ab1794b1d6aaa8e9d313141a6c7b894d9ba2d765c8",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-11-27T23:02:07Z",
    "title_canon_sha256": "4597f76fd4eb9f7a8615d9cc15998ddfc29a20382cd4d1dbe24353032c453a29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08932",
    "kind": "arxiv",
    "version": 1
  }
}