Pith Number

pith:LOIEYTMP

pith:2010:LOIEYTMPGJJNB2NBI2HS4IONQW

not attested not anchored not stored refs pending

Asymptotic properties of random matrices and pseudomatrices

Romuald Lenczewski

arxiv:1001.0667 v1 · 2010-01-05 · 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{LOIEYTMPGJJNB2NBI2HS4IONQW}

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	2026-05-18T02:46:39.736978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b904c4d8f3252d0e9a1468f2e21cd8580c7f9523db9b8676c3af42be3c7ed8f

Aliases

arxiv: 1001.0667 · arxiv_version: 1001.0667v1 · doi: 10.48550/arxiv.1001.0667 · pith_short_12: LOIEYTMPGJJN · pith_short_16: LOIEYTMPGJJNB2NB · pith_short_8: LOIEYTMP

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/LOIEYTMPGJJNB2NBI2HS4IONQW \
  | 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: 5b904c4d8f3252d0e9a1468f2e21cd8580c7f9523db9b8676c3af42be3c7ed8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29e22cb55f5bc02f8175d31dc2eb7221a912ff0fc27579311671fea06fc8618f",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-01-05T17:58:58Z",
    "title_canon_sha256": "a26363cbba288d2170d2e24c2f3869a4c47b36e2be501536c44177ef1e8d76ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0667",
    "kind": "arxiv",
    "version": 1
  }
}