Pith Number

pith:IXCSBZ4C

pith:2012:IXCSBZ4CV57CI5YCHHNQWDM44F

not attested not anchored not stored refs pending

More on the Power of Randomized Matrix Computations

Guoliang Qian, Victor Y. Pan

arxiv:1212.4560 v2 · 2012-12-19 · math.NA · cs.NA · 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{IXCSBZ4CV57CI5YCHHNQWDM44F}

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	2026-05-18T03:37:52.160144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45c520e782af7e24770239db0b0d9ce17d8060f864d3acc68007cbc25fa070cd

Aliases

arxiv: 1212.4560 · arxiv_version: 1212.4560v2 · doi: 10.48550/arxiv.1212.4560 · pith_short_12: IXCSBZ4CV57C · pith_short_16: IXCSBZ4CV57CI5YC · pith_short_8: IXCSBZ4C

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/IXCSBZ4CV57CI5YCHHNQWDM44F \
  | 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: 45c520e782af7e24770239db0b0d9ce17d8060f864d3acc68007cbc25fa070cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4701f8644b91b9a58ebb2a59590968b33a6270c4586a1573aa135845cda7d8ba",
    "cross_cats_sorted": [
      "cs.NA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-12-19T02:53:41Z",
    "title_canon_sha256": "caebed05c8ce21e915d2dac004711b733d381acf0e24299050a7cf7458318f9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4560",
    "kind": "arxiv",
    "version": 2
  }
}