Pith Number

pith:ZX27TACV

pith:2024:ZX27TACVMVRF2WFU7RANUONUJK

not attested not anchored not stored refs pending

Strong asymptotic freeness of Haar unitaries in quasi-exponential dimensional representations

Michael Magee, Mikael de la Salle

arxiv:2409.03626 v2 · 2024-09-05 · math.PR · math.GR · math.OA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZX27TACVMVRF2WFU7RANUONUJK}

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

1 paper in Pith

Stable Invariants of Words from Random Matrices

Receipt and verification

First computed	2026-07-05T10:21:22.889182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdf5f9805565625d58b4fc40da39b44a993739ddc53ae5057b868e002e0be406

Aliases

arxiv: 2409.03626 · arxiv_version: 2409.03626v2 · doi: 10.48550/arxiv.2409.03626 · pith_short_12: ZX27TACVMVRF · pith_short_16: ZX27TACVMVRF2WFU · pith_short_8: ZX27TACV

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/ZX27TACVMVRF2WFU7RANUONUJK \
  | 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: cdf5f9805565625d58b4fc40da39b44a993739ddc53ae5057b868e002e0be406

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edbd4e4c9bc109aeace8d9ee0dacfe8e170ab7726cc44d4f809407ee395a1d2d",
    "cross_cats_sorted": [
      "math.GR",
      "math.OA",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-09-05T15:38:33Z",
    "title_canon_sha256": "ce2653f365e458d200b371eb989a66ec9dc8995c4a42e0b227a697371e00d0c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.03626",
    "kind": "arxiv",
    "version": 2
  }
}