Pith Number

pith:YCWNWDZ5

pith:2009:YCWNWDZ5TSE4DC5HCFA6LBMKDM

not attested not anchored not stored refs pending

A Note on Preconditioning by Low-Stretch Spanning Trees

Daniel A Spielman, Jaeoh Woo

arxiv:0903.2816 v1 · 2009-03-16 · cs.NA · cs.DS · 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{YCWNWDZ5TSE4DC5HCFA6LBMKDM}

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

Approaching Optimality for Solving Dense Linear Systems with Low-Rank Structure

Receipt and verification

First computed	2026-06-03T23:06:25.074992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0acdb0f3d9c89c18ba71141e5858a1b1f5cc827ccfd7fde51f1928d24714ec3

Aliases

arxiv: 0903.2816 · arxiv_version: 0903.2816v1 · doi: 10.48550/arxiv.0903.2816 · pith_short_12: YCWNWDZ5TSE4 · pith_short_16: YCWNWDZ5TSE4DC5H · pith_short_8: YCWNWDZ5

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/YCWNWDZ5TSE4DC5HCFA6LBMKDM \
  | 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: c0acdb0f3d9c89c18ba71141e5858a1b1f5cc827ccfd7fde51f1928d24714ec3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "352ca28b077a20cd6b88860edd69022b29b8fbea527006a64e1be341b39d8f52",
    "cross_cats_sorted": [
      "cs.DS",
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NA",
    "submitted_at": "2009-03-16T18:04:31Z",
    "title_canon_sha256": "9469025403645ed814de2ccf9df37f0d48157e3ca5aef056c996fee598e860db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.2816",
    "kind": "arxiv",
    "version": 1
  }
}