Pith Number

pith:BEO3WTOX

pith:2009:BEO3WTOXZMY2VBGBHOZ5QTXELU

not attested not anchored not stored refs pending

Toeplitz and Toeplitz-block-Toeplitz matrices and their correlation with syzygies of polynomials

Bernard Mourrain (INRIA Sophia Antipolis), Houssam Khalil (MAPLY, ICJ, ICJ), INRIA Sophia Antipolis), Michelle Schatzman (MAPLY

arxiv:0903.1244 v1 · 2009-03-06 · math.NA · cs.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{BEO3WTOXZMY2VBGBHOZ5QTXELU}

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	2026-06-03T23:06:11.610857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

091dbb4dd7cb31aa84c13bb3d84ee45d3606900702524b7d9691cb48b525bfe9

Aliases

arxiv: 0903.1244 · arxiv_version: 0903.1244v1 · doi: 10.48550/arxiv.0903.1244 · pith_short_12: BEO3WTOXZMY2 · pith_short_16: BEO3WTOXZMY2VBGB · pith_short_8: BEO3WTOX

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/BEO3WTOXZMY2VBGBHOZ5QTXELU \
  | 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: 091dbb4dd7cb31aa84c13bb3d84ee45d3606900702524b7d9691cb48b525bfe9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2eaa2fa660b788c8f73aab269d56c9b9bbc4e894706b97ceb79ba6209de4814",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2009-03-06T16:24:55Z",
    "title_canon_sha256": "0d17abc44219f2bfa8ec58b39b3299e68c4e571996005cbf3e2d017d6b611816"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.1244",
    "kind": "arxiv",
    "version": 1
  }
}