Pith Number

pith:T2NXBBSO

pith:2025:T2NXBBSOX2XPZWU5GA3AAZQ65Q

not attested not anchored not stored refs pending

Addition to "Structured random matrices and cyclic cumulants: A free probability approach"

Denis Bernard, Ludwig Hruza

arxiv:2505.21376 v1 · 2025-05-27 · 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{T2NXBBSOX2XPZWU5GA3AAZQ65Q}

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	2026-07-05T11:10:40.975115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e9b70864ebeaefcda9d303600661eec3d16b869a4671337329543cfdd022748

Aliases

arxiv: 2505.21376 · arxiv_version: 2505.21376v1 · doi: 10.48550/arxiv.2505.21376 · pith_short_12: T2NXBBSOX2XP · pith_short_16: T2NXBBSOX2XPZWU5 · pith_short_8: T2NXBBSO

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/T2NXBBSOX2XPZWU5GA3AAZQ65Q \
  | 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: 9e9b70864ebeaefcda9d303600661eec3d16b869a4671337329543cfdd022748

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55947f57c5d98218638726681a68a1f3a5575c3512daa7555de18667d5742baf",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-05-27T16:05:48Z",
    "title_canon_sha256": "4b62554b166b04155585d2eb13073b615664ed798d128c02b8cdc8ecccfaf9ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.21376",
    "kind": "arxiv",
    "version": 1
  }
}