Pith Number

pith:JHFG4FXZ

pith:2010:JHFG4FXZKEZPNLLX3B3CZY4BDC

not attested not anchored not stored refs pending

A small probabilistic universal set of starting points for finding roots of complex polynomials by Newton's method

B\'ela Bollob\'as, Dierk Schleicher, Malte Lackmann

arxiv:1009.1843 v2 · 2010-09-09 · 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{JHFG4FXZKEZPNLLX3B3CZY4BDC}

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	2026-05-18T04:14:29.491155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49ca6e16f95132f6ad77d8762ce38118abacb67ebcbe9d713bd12b89e7b7e1d4

Aliases

arxiv: 1009.1843 · arxiv_version: 1009.1843v2 · doi: 10.48550/arxiv.1009.1843 · pith_short_12: JHFG4FXZKEZP · pith_short_16: JHFG4FXZKEZPNLLX · pith_short_8: JHFG4FXZ

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/JHFG4FXZKEZPNLLX3B3CZY4BDC \
  | 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: 49ca6e16f95132f6ad77d8762ce38118abacb67ebcbe9d713bd12b89e7b7e1d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d5b2fa593d8504eac0804777d12505e54a8b8077aa0735801d04e5a110edecb",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-09-09T18:31:59Z",
    "title_canon_sha256": "d2f4a82dcfd4aa6ed4e0d3467e30d0c104ae9881194b56ccbd1e6cdac618d9e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1843",
    "kind": "arxiv",
    "version": 2
  }
}