Pith Number

pith:CGTPLRXP

pith:2011:CGTPLRXPL3L2JVT6QPXYUDIBJM

not attested not anchored not stored refs pending

Joint convergence of several copies of different patterned random matrices

Arup Bose, Rajat Subhra Hazra, Riddhipratim Basu, Shirshendu Ganguly

arxiv:1108.4099 v2 · 2011-08-20 · math.PR · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CGTPLRXPL3L2JVT6QPXYUDIBJM}

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	2026-05-18T03:57:37.162468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11a6f5c6ef5ed7a4d67e83ef8a0d014b0cabd80e3565786f32cbd5e6cc45b34d

Aliases

arxiv: 1108.4099 · arxiv_version: 1108.4099v2 · doi: 10.48550/arxiv.1108.4099 · pith_short_12: CGTPLRXPL3L2 · pith_short_16: CGTPLRXPL3L2JVT6 · pith_short_8: CGTPLRXP

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/CGTPLRXPL3L2JVT6QPXYUDIBJM \
  | 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: 11a6f5c6ef5ed7a4d67e83ef8a0d014b0cabd80e3565786f32cbd5e6cc45b34d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aaa052deb15202bfff8f0a711189c0ed192ece9f92a9835b9fdc85c1cec3b73c",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-08-20T07:55:17Z",
    "title_canon_sha256": "46b77d30fb87864cc552b0662ad477403150bd4ff09d3717185054b77f041b9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4099",
    "kind": "arxiv",
    "version": 2
  }
}