Pith Number

pith:VVNOKGCZ

pith:2013:VVNOKGCZY6SP6X5EAHK2FCM7L3

not attested not anchored not stored refs pending

The Large-$N$ Limits of Brownian Motions on $\mathbb{GL}_N$

Todd Kemp

arxiv:1306.6033 v1 · 2013-06-25 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VVNOKGCZY6SP6X5EAHK2FCM7L3}

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	2026-05-18T03:19:57.951082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad5ae51859c7a4ff5fa401d5a2899f5ec0a7c1ae0635a6facee6f55e55edce63

Aliases

arxiv: 1306.6033 · arxiv_version: 1306.6033v1 · doi: 10.48550/arxiv.1306.6033 · pith_short_12: VVNOKGCZY6SP · pith_short_16: VVNOKGCZY6SP6X5E · pith_short_8: VVNOKGCZ

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/VVNOKGCZY6SP6X5EAHK2FCM7L3 \
  | 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: ad5ae51859c7a4ff5fa401d5a2899f5ec0a7c1ae0635a6facee6f55e55edce63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b00726c23c84dd8489a818fef706d400ac8c3c89f85114d08b876ef3aa71ab27",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-06-25T17:01:12Z",
    "title_canon_sha256": "d82de865c93a99a7eb2d5f15b388be50d899287219d71adc1f97472640732c42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6033",
    "kind": "arxiv",
    "version": 1
  }
}