Pith Number

pith:QQ56WRUL

pith:2009:QQ56WRUL4OS2M7H2R4R6FQYKUC

not attested not anchored not stored refs pending

Error Bounds for Random Matrix Approximation Schemes

Alex Gittens, Joel A. Tropp

arxiv:0911.4108 v1 · 2009-11-20 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QQ56WRUL4OS2M7H2R4R6FQYKUC}

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	2026-06-03T23:06:30.834125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

843beb468be3a5a67cfa8f23e2c30aa0beb47a72829dff1bfcf32ec08758baa2

Aliases

arxiv: 0911.4108 · arxiv_version: 0911.4108v1 · doi: 10.48550/arxiv.0911.4108 · pith_short_12: QQ56WRUL4OS2 · pith_short_16: QQ56WRUL4OS2M7H2 · pith_short_8: QQ56WRUL

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/QQ56WRUL4OS2M7H2R4R6FQYKUC \
  | 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: 843beb468be3a5a67cfa8f23e2c30aa0beb47a72829dff1bfcf32ec08758baa2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca76f2fb3111a8e939904a45b61970ea48ba4fc25559d21def122f4124ed49f2",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2009-11-20T20:38:11Z",
    "title_canon_sha256": "14dea98df04a563c58a555e52ea3474db21c2da160a146decdfb8cf161ac1d2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.4108",
    "kind": "arxiv",
    "version": 1
  }
}