Pith Number

pith:OTCX5DXU

pith:2010:OTCX5DXU2APSO3I7QVJR74TEBG

not attested not anchored not stored refs pending

A Numerical Algorithm for Zero Counting. III: Randomization and Condition

Felipe Cucker, Gregorio Malajovich, Mario Wschebor, Teresa Krick

arxiv:1007.1597 v2 · 2010-07-09 · math.NA · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OTCX5DXU2APSO3I7QVJR74TEBG}

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	2026-05-18T03:54:39.644270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74c57e8ef4d01f276d1f85531ff26409a0784a24a1feb59b86f0d61f85e857de

Aliases

arxiv: 1007.1597 · arxiv_version: 1007.1597v2 · doi: 10.48550/arxiv.1007.1597 · pith_short_12: OTCX5DXU2APS · pith_short_16: OTCX5DXU2APSO3I7 · pith_short_8: OTCX5DXU

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/OTCX5DXU2APSO3I7QVJR74TEBG \
  | 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: 74c57e8ef4d01f276d1f85531ff26409a0784a24a1feb59b86f0d61f85e857de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d9e5a64fef032b33ab1b5453affff7a05909149a6757420cf089bff82c16222",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2010-07-09T14:06:33Z",
    "title_canon_sha256": "8d02cb3454d57469db0446839d3994774b340a08a22b5e0550bf2b71da73b235"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.1597",
    "kind": "arxiv",
    "version": 2
  }
}