Pith Number

pith:GT356FV3

pith:2010:GT356FV3QZDK4HAAYW7TIHKWXG

not attested not anchored not stored refs pending

Successive normalization of rectangular arrays

Bala Rajaratnam, Richard A. Olshen

arxiv:1010.0520 v2 · 2010-10-04 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GT356FV3QZDK4HAAYW7TIHKWXG}

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	2026-05-18T03:05:07.892196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34f7df16bb8646ae1c00c5bf341d56b9bbcd64eace146bb904e0a64a1c0ce409

Aliases

arxiv: 1010.0520 · arxiv_version: 1010.0520v2 · doi: 10.48550/arxiv.1010.0520 · pith_short_12: GT356FV3QZDK · pith_short_16: GT356FV3QZDK4HAA · pith_short_8: GT356FV3

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/GT356FV3QZDK4HAAYW7TIHKWXG \
  | 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: 34f7df16bb8646ae1c00c5bf341d56b9bbcd64eace146bb904e0a64a1c0ce409

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3de5ed6c40a3236779d23273ebaa8e4cc403c33267b3dfeade12ac24cd615152",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2010-10-04T09:48:16Z",
    "title_canon_sha256": "289ee2b08325523bce544b39b3f17a9194393a1aafdded8410b997140685d6d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0520",
    "kind": "arxiv",
    "version": 2
  }
}