Pith Number

pith:I7IU5O7R

pith:2013:I7IU5O7RVICSFSAAOFRTLE4QH5

not attested not anchored not stored refs pending

Randomized Approximation of the Gram Matrix: Exact Computation and Probabilistic Bounds

Ilse C. F. Ipsen, John T. Holodnak

arxiv:1310.1502 v3 · 2013-10-05 · math.NA · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I7IU5O7RVICSFSAAOFRTLE4QH5}

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	2026-05-18T02:51:49.579604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47d14ebbf1aa0522c80071633593903f6c48ec0d13a905888fafebca56bd6b1e

Aliases

arxiv: 1310.1502 · arxiv_version: 1310.1502v3 · doi: 10.48550/arxiv.1310.1502 · pith_short_12: I7IU5O7RVICS · pith_short_16: I7IU5O7RVICSFSAA · pith_short_8: I7IU5O7R

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/I7IU5O7RVICSFSAAOFRTLE4QH5 \
  | 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: 47d14ebbf1aa0522c80071633593903f6c48ec0d13a905888fafebca56bd6b1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e96e377b3f8895e5c2a3e4cd748add174a4e95ec9fcce13676b484b04047613",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-10-05T18:09:50Z",
    "title_canon_sha256": "dce0c66c750e23e4194e0066d597839dc7a218f6048d626ea33ba4bb22107e66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1502",
    "kind": "arxiv",
    "version": 3
  }
}