Pith Number

pith:NR7AFABZ

pith:2012:NR7AFABZKFHQROXM62BGWQIDSL

not attested not anchored not stored refs pending

Partial freeness of random matrices

Alan Edelman, Jiahao Chen, Troy Van Voorhis

arxiv:1204.2257 v2 · 2012-04-10 · math.PR · math-ph · math.MP · stat.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NR7AFABZKFHQROXM62BGWQIDSL}

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	2026-05-18T03:25:14.734221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c7e028039514f08baecf6826b410392fdedf74f814e64c2284ec81366a17ca0

Aliases

arxiv: 1204.2257 · arxiv_version: 1204.2257v2 · doi: 10.48550/arxiv.1204.2257 · pith_short_12: NR7AFABZKFHQ · pith_short_16: NR7AFABZKFHQROXM · pith_short_8: NR7AFABZ

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/NR7AFABZKFHQROXM62BGWQIDSL \
  | 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: 6c7e028039514f08baecf6826b410392fdedf74f814e64c2284ec81366a17ca0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21dca9e34549fd7634d40cee5f5be9baf5a1789c8cc1d30f9f43722a13a3daf0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "stat.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-04-10T19:47:18Z",
    "title_canon_sha256": "c5de23895c59c2327e781818fdebbc7ee1fcc0bd70570354354269707bc50468"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2257",
    "kind": "arxiv",
    "version": 2
  }
}