Pith Number

pith:P2R2Q2WI

pith:2012:P2R2Q2WIXW7DIFXCG27FRH5WXN

not attested not anchored not stored refs pending

Spectral measures of powers of random matrices

Elizabeth Meckes, Mark Meckes

arxiv:1210.2681 v3 · 2012-10-09 · math.PR · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P2R2Q2WIXW7DIFXCG27FRH5WXN}

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	2026-05-18T03:12:22.461307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ea3a86ac8bdbe3416e236be589fb6bb661f373f91ce5b0e7d61e33e5d87fcb6

Aliases

arxiv: 1210.2681 · arxiv_version: 1210.2681v3 · doi: 10.48550/arxiv.1210.2681 · pith_short_12: P2R2Q2WIXW7D · pith_short_16: P2R2Q2WIXW7DIFXC · pith_short_8: P2R2Q2WI

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/P2R2Q2WIXW7DIFXCG27FRH5WXN \
  | 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: 7ea3a86ac8bdbe3416e236be589fb6bb661f373f91ce5b0e7d61e33e5d87fcb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "855df9c59e9f87a17834ba7927e26c38ed6c4723da9d1370da2c8a4673133299",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-09T17:59:51Z",
    "title_canon_sha256": "15dc1e9eec242f21caada413a5be62cbed2d15071cb92287e562cf13b7cb4b2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2681",
    "kind": "arxiv",
    "version": 3
  }
}