Pith Number

pith:CGVJBQWL

pith:2015:CGVJBQWLSJVBIAPAX7DPWEWK2S

not attested not anchored not stored refs pending

A Computationally Optimal Randomized Proper Orthogonal Decomposition Technique

Dan Yu, Suman Chakravorty

arxiv:1509.05705 v3 · 2015-09-18 · math.DS · 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{CGVJBQWLSJVBIAPAX7DPWEWK2S}

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	2026-05-18T01:15:52.444851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11aa90c2cb926a1401e0bfc6fb12cad4b09f7bb11af2088cb31f5af69d8315ff

Aliases

arxiv: 1509.05705 · arxiv_version: 1509.05705v3 · doi: 10.48550/arxiv.1509.05705 · pith_short_12: CGVJBQWLSJVB · pith_short_16: CGVJBQWLSJVBIAPA · pith_short_8: CGVJBQWL

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/CGVJBQWLSJVBIAPAX7DPWEWK2S \
  | 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: 11aa90c2cb926a1401e0bfc6fb12cad4b09f7bb11af2088cb31f5af69d8315ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14433a98029284fede9d58ced430a751f647e3b6fe742d8203609bf7981f5204",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-09-18T17:05:09Z",
    "title_canon_sha256": "f2ef8dd2d19b52d45ef7671542d8a781e8be26075cf225e43e862f9ea3c592b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05705",
    "kind": "arxiv",
    "version": 3
  }
}