Pith Number

pith:AD3727Z4

pith:2006:AD3727Z4DFRHNA274HTBJZETRD

not attested not anchored not stored refs pending

Higher-Order Deflation for Polynomial Systems with Isolated Singular Solutions

Ailing Zhao, Anton Leykin, Jan Verschelde

arxiv:math/0602031 v2 · 2006-02-01 · 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{AD3727Z4DFRHNA274HTBJZETRD}

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	2026-06-03T22:06:18.910459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00f7fd7f3c196276835fe1e614e49388fdb7cfc1edcca414bc576c63164b85c5

Aliases

arxiv: math/0602031 · arxiv_version: math/0602031v2 · doi: 10.48550/arxiv.math/0602031 · pith_short_12: AD3727Z4DFRH · pith_short_16: AD3727Z4DFRHNA27 · pith_short_8: AD3727Z4

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/AD3727Z4DFRHNA274HTBJZETRD \
  | 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: 00f7fd7f3c196276835fe1e614e49388fdb7cfc1edcca414bc576c63164b85c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ed33ff35908be078219bce9cd3bc6c7a9b0fa6f704a8255a58ce7293b9ceee4",
    "cross_cats_sorted": [
      "cs.NA",
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.NA",
    "submitted_at": "2006-02-01T21:49:09Z",
    "title_canon_sha256": "7bdba11c063e8c3157a63668dbe8e862092dc19ff8383c3bc5af0e69bd800415"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0602031",
    "kind": "arxiv",
    "version": 2
  }
}