Pith Number

pith:NJRPAXPQ

pith:2021:NJRPAXPQYRGCELWK5QKXYIDGI5

not attested not anchored not stored refs pending

Sample covariance matrices and special symmetric partitions

Arup Bose, Priyanka Sen

arxiv:2112.15030 v2 · 2021-12-30 · 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{NJRPAXPQYRGCELWK5QKXYIDGI5}

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	2026-07-05T03:44:57.424882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a62f05df0c44c222ecaec157c206647533f6fd624fc7c59cf12996fc2f04af9

Aliases

arxiv: 2112.15030 · arxiv_version: 2112.15030v2 · doi: 10.48550/arxiv.2112.15030 · pith_short_12: NJRPAXPQYRGC · pith_short_16: NJRPAXPQYRGCELWK · pith_short_8: NJRPAXPQ

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/NJRPAXPQYRGCELWK5QKXYIDGI5 \
  | 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: 6a62f05df0c44c222ecaec157c206647533f6fd624fc7c59cf12996fc2f04af9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4511d856fefb8962440fe919f500d7850c2632e5e0a9d1b7b675f5dea9806ad6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-12-30T12:31:45Z",
    "title_canon_sha256": "848c3d55f9db3c4bc1d3e209f8f562bdae3126aa26f4ab579e7c1284c08b4703"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.15030",
    "kind": "arxiv",
    "version": 2
  }
}