Pith Number

pith:FIB2JWDX

pith:2024:FIB2JWDXU2O5ZJ7EWSU5257CNH

not attested not anchored not stored refs pending

The spectrum of a tensor of random and deterministic matrices

F\'elix Parraud

arxiv:2410.04481 v2 · 2024-10-06 · math.PR · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FIB2JWDXU2O5ZJ7EWSU5257CNH}

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.

Cited by

3 papers in Pith

A Sudakov--Fernique proof of Lehner-type edge bounds for matrix-valued GUE sums

Amenable absorption in von Neumann algebras of hyperbolic groups

Asymptotic expansion for transport maps between laws of multimatrix models

Receipt and verification

First computed	2026-07-05T09:28:14.226844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a03a4d877a69ddca7e4b4a9dd77e269e7341b75cdf36eb23af472c44850c3f3

Aliases

arxiv: 2410.04481 · arxiv_version: 2410.04481v2 · doi: 10.48550/arxiv.2410.04481 · pith_short_12: FIB2JWDXU2O5 · pith_short_16: FIB2JWDXU2O5ZJ7E · pith_short_8: FIB2JWDX

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/FIB2JWDXU2O5ZJ7EWSU5257CNH \
  | 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: 2a03a4d877a69ddca7e4b4a9dd77e269e7341b75cdf36eb23af472c44850c3f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e1ed3b24a387e677ff304a5de62989d5e80d92680e8072e2b02091cd2f5d15e",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-10-06T13:49:07Z",
    "title_canon_sha256": "76926b3f7bd1fe8d21f85d4c8496ddd5898aecab01a6b6ea279a81b214e83cd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.04481",
    "kind": "arxiv",
    "version": 2
  }
}