Pith Number

pith:HSIZ3U5M

pith:2009:HSIZ3U5MEIHE73ZHW3OW4AA4NC

not attested not anchored not stored refs pending

A Numerical Algorithm for Zero Counting. II: Distance to Ill-posedness and Smoothed Analysis

Felipe Cucker, Gregorio Malajovich, Mario Wschebor, Teresa Krick

arxiv:0909.4101 v1 · 2009-09-22 · cs.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{HSIZ3U5MEIHE73ZHW3OW4AA4NC}

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	2026-06-03T23:06:29.095682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c919dd3ac220e4fef27b6dd6e001c68a1f4c295484545b74766933726d2eb88

Aliases

arxiv: 0909.4101 · arxiv_version: 0909.4101v1 · doi: 10.48550/arxiv.0909.4101 · pith_short_12: HSIZ3U5MEIHE · pith_short_16: HSIZ3U5MEIHE73ZH · pith_short_8: HSIZ3U5M

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/HSIZ3U5MEIHE73ZHW3OW4AA4NC \
  | 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: 3c919dd3ac220e4fef27b6dd6e001c68a1f4c295484545b74766933726d2eb88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cec5b39c5b3c50d89696e070e1bd4866d7cbe4cfb3011db4a0387398f0bb73fb",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NA",
    "submitted_at": "2009-09-22T21:42:51Z",
    "title_canon_sha256": "acfb7f9f3cf853a11ad4c0ae99ded93bed8014d9732f07bf06b4170aca9503ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.4101",
    "kind": "arxiv",
    "version": 1
  }
}