Pith Number

pith:X5MPCOMP

pith:2019:X5MPCOMPG7GEKTPATBGOSP7XX6

not attested not anchored not stored refs pending

How much can the eigenvalues of a random Hermitian matrix fluctuate?

Benjamin Fahs, Christian Webb, Gaultier Lambert, Tom Claeys

arxiv:1906.01561 v1 · 2019-06-04 · math.PR · 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{X5MPCOMPG7GEKTPATBGOSP7XX6}

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	2026-05-17T23:44:16.156298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf58f1398f37cc454de0984ce93ff7bf82771dafc96faeab3b996e7e15cf8500

Aliases

arxiv: 1906.01561 · arxiv_version: 1906.01561v1 · doi: 10.48550/arxiv.1906.01561 · pith_short_12: X5MPCOMPG7GE · pith_short_16: X5MPCOMPG7GEKTPA · pith_short_8: X5MPCOMP

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/X5MPCOMPG7GEKTPATBGOSP7XX6 \
  | 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: bf58f1398f37cc454de0984ce93ff7bf82771dafc96faeab3b996e7e15cf8500

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2652c821020372eff1de2d6113f648b408101f4dba28925a0c672fda8945a140",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-06-04T16:26:53Z",
    "title_canon_sha256": "8b041f6aa190547172fd1b358777dfeeff5a0f9ac7796fbbaacc1cb8657f296e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.01561",
    "kind": "arxiv",
    "version": 1
  }
}