Pith Number

pith:U4477WNR

pith:2018:U4477WNR26XY5PSAM3DOW6PAVZ

not attested not anchored not stored refs pending

A Backward Stable Algorithm for Computing the CS Decomposition via the Polar Decomposition

Brian D. Sutton, Evan S. Gawlik, Yuji Nakatsukasa

arxiv:1804.09002 v1 · 2018-04-24 · 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{U4477WNR26XY5PSAM3DOW6PAVZ}

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	2026-05-18T00:17:36.627981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a739ffd9b1d7af8ebe4066c6eb79e0ae79d511a8a0f02598b379938b585cb027

Aliases

arxiv: 1804.09002 · arxiv_version: 1804.09002v1 · doi: 10.48550/arxiv.1804.09002 · pith_short_12: U4477WNR26XY · pith_short_16: U4477WNR26XY5PSA · pith_short_8: U4477WNR

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/U4477WNR26XY5PSAM3DOW6PAVZ \
  | 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: a739ffd9b1d7af8ebe4066c6eb79e0ae79d511a8a0f02598b379938b585cb027

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4c8550e5edd5366115cda935091f58d811ca2015d8786acd88657eebdcc01a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-04-24T13:05:17Z",
    "title_canon_sha256": "6561633e22f5da8849faa410c939ba9e5d30e568ad3b5461c60d65e485001ba9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.09002",
    "kind": "arxiv",
    "version": 1
  }
}