Pith Number

pith:GZ2E2ZQS

pith:2010:GZ2E2ZQSODL2FW6WKKUCY6NZXM

not attested not anchored not stored refs pending

Laws of large numbers for eigenvectors and eigenvalues associated to random subspaces in a tensor product

B. Collins, I. Nechita, S. Belinschi

arxiv:1008.3099 v3 · 2010-08-18 · math.PR · math.OA · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GZ2E2ZQSODL2FW6WKKUCY6NZXM}

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	2026-05-18T02:05:46.914069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36744d661270d7a2dbd652a82c79b9bb29d636c5407b763702d2c5f42b88c996

Aliases

arxiv: 1008.3099 · arxiv_version: 1008.3099v3 · doi: 10.48550/arxiv.1008.3099 · pith_short_12: GZ2E2ZQSODL2 · pith_short_16: GZ2E2ZQSODL2FW6W · pith_short_8: GZ2E2ZQS

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/GZ2E2ZQSODL2FW6WKKUCY6NZXM \
  | 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: 36744d661270d7a2dbd652a82c79b9bb29d636c5407b763702d2c5f42b88c996

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5aa5d27cfa9877f89baf9ceac2ababc5d79c26a9041179532f622d5e925dcd74",
    "cross_cats_sorted": [
      "math.OA",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-08-18T14:54:26Z",
    "title_canon_sha256": "5215c2e2fb735a7f2919333fc367ba8646eabf7bc2f1ea6a4fbdef5c33c9778a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3099",
    "kind": "arxiv",
    "version": 3
  }
}