Pith Number

pith:FDKL3LJ6

pith:2016:FDKL3LJ6LBJ6VUUUVIFJOYOFRX

not attested not anchored not stored refs pending

Randomized methods for matrix computations

Per-Gunnar Martinsson

arxiv:1607.01649 v3 · 2016-07-06 · 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{FDKL3LJ6LBJ6VUUUVIFJOYOFRX}

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.

Cited by

1 paper in Pith

Low-rank Orthogonalization for Large-scale Matrix Optimization with Applications to Foundation Model Training

Receipt and verification

First computed	2026-05-17T23:54:37.056603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28d4bdad3e5853ead294aa0a9761c58dc95a732acb05e5a6068a069a32252702

Aliases

arxiv: 1607.01649 · arxiv_version: 1607.01649v3 · doi: 10.48550/arxiv.1607.01649 · pith_short_12: FDKL3LJ6LBJ6 · pith_short_16: FDKL3LJ6LBJ6VUUU · pith_short_8: FDKL3LJ6

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/FDKL3LJ6LBJ6VUUUVIFJOYOFRX \
  | 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: 28d4bdad3e5853ead294aa0a9761c58dc95a732acb05e5a6068a069a32252702

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccc3eb5467a39431bed30786578482df043bc04d120dcb910775a83542689e00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-07-06T14:53:21Z",
    "title_canon_sha256": "c1572f6b5339adfc9e01e93a6bd6e043e4552f05d99fa6ad806ef2b65305c0db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01649",
    "kind": "arxiv",
    "version": 3
  }
}