Pith Number

pith:WY4WDKCD

pith:2006:WY4WDKCDL26IY5D3Q4KSFOLXKM

not attested not anchored not stored refs pending

Semidefinite Characterization and Computation of Real Radical Ideals

J.B. Lasserre, M. Laurent, P. Rostalski

arxiv:math/0609528 v2 · 2006-09-19 · math.AG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WY4WDKCDL26IY5D3Q4KSFOLXKM}

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	2026-05-18T00:00:33.147456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b63961a8435ebc8c747b871522b977532101739ad72a28345fcb938eac52e6f3

Aliases

arxiv: math/0609528 · arxiv_version: math/0609528v2 · doi: 10.48550/arxiv.math/0609528 · pith_short_12: WY4WDKCDL26I · pith_short_16: WY4WDKCDL26IY5D3 · pith_short_8: WY4WDKCD

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/WY4WDKCDL26IY5D3Q4KSFOLXKM \
  | 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: b63961a8435ebc8c747b871522b977532101739ad72a28345fcb938eac52e6f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b2cb931b82ba46497f37d0565418c896a87e1bbe6f1ee0dffce70fbcf21e854",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2006-09-19T14:32:06Z",
    "title_canon_sha256": "44d99037404c6f6a54631afb7abde7c3a329e6e8deca6f44ec34383f533bcf37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609528",
    "kind": "arxiv",
    "version": 2
  }
}