Pith Number

pith:MKXDRDXU

pith:2015:MKXDRDXUUQ2BFDCT6JVB7QWDAR

not attested not anchored not stored refs pending

Householder QR Factorization with Randomization for Column Pivoting (HQRRP). FLAME Working Note #78

Gregorio Quintana-Orti, Nathan Heavner, Per-Gunnar Martinsson, Robert van de Geijn

arxiv:1512.02671 v2 · 2015-12-08 · 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{MKXDRDXUUQ2BFDCT6JVB7QWDAR}

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	2026-05-18T00:55:39.397413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62ae388ef4a434128c53f26a1fc2c30477f0595a103afbf016dc8e2ba0cec703

Aliases

arxiv: 1512.02671 · arxiv_version: 1512.02671v2 · doi: 10.48550/arxiv.1512.02671 · pith_short_12: MKXDRDXUUQ2B · pith_short_16: MKXDRDXUUQ2BFDCT · pith_short_8: MKXDRDXU

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/MKXDRDXUUQ2BFDCT6JVB7QWDAR \
  | 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: 62ae388ef4a434128c53f26a1fc2c30477f0595a103afbf016dc8e2ba0cec703

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd7eb2335ed585cf7f3446f5713c7ca579b65ea7bf45d0b1c5eb80adb5c75831",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-12-08T21:51:53Z",
    "title_canon_sha256": "d06b8c5d652deb17cb2c3b8bab63045ae6ba85bca50ef3fff81f3ad8c4978ed3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02671",
    "kind": "arxiv",
    "version": 2
  }
}