Pith Number

pith:HJK2PPDC

pith:2004:HJK2PPDCP7M73E7EGWRCLOBMG5

not attested not anchored not stored refs pending

Newton's method with deflation for isolated singularities of polynomial systems

Ailing Zhao, Anton Leykin, Jan Verschelde

arxiv:math/0408419 v2 · 2004-08-30 · math.NA · cs.NA · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HJK2PPDCP7M73E7EGWRCLOBMG5}

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	2026-06-03T22:06:15.626673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a55a7bc627fd9fd93e435a225b82c3749dd958be98839e18a5ee3039036e4d5

Aliases

arxiv: math/0408419 · arxiv_version: math/0408419v2 · doi: 10.48550/arxiv.math/0408419 · pith_short_12: HJK2PPDCP7M7 · pith_short_16: HJK2PPDCP7M73E7E · pith_short_8: HJK2PPDC

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/HJK2PPDCP7M73E7EGWRCLOBMG5 \
  | 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: 3a55a7bc627fd9fd93e435a225b82c3749dd958be98839e18a5ee3039036e4d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9efb63e73be6a399927da9540b9a31c75360b6478883d87a619c257ef1be6ea9",
    "cross_cats_sorted": [
      "cs.NA",
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.NA",
    "submitted_at": "2004-08-30T21:47:11Z",
    "title_canon_sha256": "64292f303c5b5dbdabc73565c5b939987f3c22a3ac84e74bf698bcfe4c1188b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0408419",
    "kind": "arxiv",
    "version": 2
  }
}