Pith Number

pith:SPPR6R4C

pith:2010:SPPR6R4CWHZYLFE3L4DUIY27I3

not attested not anchored not stored refs pending

The rank 1 real Wishart spiked model I. Finite N analysis

M. Y. Mo

arxiv:1011.5404 v1 · 2010-11-24 · 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{SPPR6R4CWHZYLFE3L4DUIY27I3}

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	2026-05-18T04:34:47.354392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93df1f4782b1f385949b5f0744635f46da6e56dbbde94d50262dd0537beba6c2

Aliases

arxiv: 1011.5404 · arxiv_version: 1011.5404v1 · doi: 10.48550/arxiv.1011.5404 · pith_short_12: SPPR6R4CWHZY · pith_short_16: SPPR6R4CWHZYLFE3 · pith_short_8: SPPR6R4C

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/SPPR6R4CWHZYLFE3L4DUIY27I3 \
  | 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: 93df1f4782b1f385949b5f0744635f46da6e56dbbde94d50262dd0537beba6c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3290ba178a136ce72aa5dba9f0b13c3a818001be24c526bf91b471d79e839507",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-11-24T15:56:30Z",
    "title_canon_sha256": "63a225c9a642dd7b79b8c251e4bb5b2651cebfe18142d3eb5ee275bfc45f563d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5404",
    "kind": "arxiv",
    "version": 1
  }
}