Pith Number

pith:UPBQZYPQ

pith:2012:UPBQZYPQCYCEUYK2IT3S7U7BVH

not attested not anchored not stored refs pending

Fast Computation of Zeros of Polynomial Systems with Bounded Degree under Finite-precision

Felipe Cucker, Irenee Briquel, Javier Pena, Vera Roshchina

arxiv:1205.0869 v1 · 2012-05-04 · 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{UPBQZYPQCYCEUYK2IT3S7U7BVH}

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	2026-05-18T03:56:23.714187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3c30ce1f016044a615a44f72fd3e1a9d9867827036393183e91befdf3831491

Aliases

arxiv: 1205.0869 · arxiv_version: 1205.0869v1 · doi: 10.48550/arxiv.1205.0869 · pith_short_12: UPBQZYPQCYCE · pith_short_16: UPBQZYPQCYCEUYK2 · pith_short_8: UPBQZYPQ

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/UPBQZYPQCYCEUYK2IT3S7U7BVH \
  | 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: a3c30ce1f016044a615a44f72fd3e1a9d9867827036393183e91befdf3831491

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85ab673fe5f13532b775a8749415a2ef5cd01a15f9dbfb814cf9925a28eb60a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-05-04T06:56:29Z",
    "title_canon_sha256": "75feb1d4088f0f823e7badab602f45e268aa3eb646346d2a9cc5daaef3f57dc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0869",
    "kind": "arxiv",
    "version": 1
  }
}