Pith Number

pith:ZBEIU33R

pith:2015:ZBEIU33RZA6AWETL4NQUMRTAGI

not attested not anchored not stored refs pending

A randomized blocked algorithm for efficiently computing rank-revealing factorizations of matrices

Per-Gunnar Martinsson, Sergey Voronin

arxiv:1503.07157 v2 · 2015-03-24 · math.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{ZBEIU33RZA6AWETL4NQUMRTAGI}

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	2026-05-18T01:44:11.167455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8488a6f71c83c0b126be361464660320cbe9c6477c0ee815e9d8f8de4a60280

Aliases

arxiv: 1503.07157 · arxiv_version: 1503.07157v2 · doi: 10.48550/arxiv.1503.07157 · pith_short_12: ZBEIU33RZA6A · pith_short_16: ZBEIU33RZA6AWETL · pith_short_8: ZBEIU33R

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/ZBEIU33RZA6AWETL4NQUMRTAGI \
  | 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: c8488a6f71c83c0b126be361464660320cbe9c6477c0ee815e9d8f8de4a60280

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "257691938e1929b05a1fd295f79074faa75f532b4c7501e5f1dd9eb63b48673d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-03-24T19:56:08Z",
    "title_canon_sha256": "0cdfe5ab29889ca22c28d5cf61b821dce242c844717bc920425afaf4075db60f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.07157",
    "kind": "arxiv",
    "version": 2
  }
}