Pith Number

pith:H2YFHNZY

pith:2014:H2YFHNZYTR3VD4PUY7P63G674I

not attested not anchored not stored refs pending

Freeness and The Transposes of Unitarily Invariant Random Matrices

James A. Mingo, Mihai Popa

arxiv:1411.6173 v1 · 2014-11-22 · math.OA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H2YFHNZYTR3VD4PUY7P63G674I}

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	2026-05-18T02:33:00.571886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3eb053b7389c7751f1f4c7dfed9bdfe237bc75b189162d4a6796411dadc8cb12

Aliases

arxiv: 1411.6173 · arxiv_version: 1411.6173v1 · doi: 10.48550/arxiv.1411.6173 · pith_short_12: H2YFHNZYTR3V · pith_short_16: H2YFHNZYTR3VD4PU · pith_short_8: H2YFHNZY

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/H2YFHNZYTR3VD4PUY7P63G674I \
  | 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: 3eb053b7389c7751f1f4c7dfed9bdfe237bc75b189162d4a6796411dadc8cb12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "900a54529f3d4357258c262e7b8423379064f115590b2bb458b09d63f9adf055",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-11-22T22:08:54Z",
    "title_canon_sha256": "2a7f022c464308d9f80b84798b6f52e400c77554f1f7b6b2e441a9595a69da8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6173",
    "kind": "arxiv",
    "version": 1
  }
}