Pith Number

pith:XAO5P642

pith:2018:XAO5P642RPCXCR2HX662MNOPTE

not attested not anchored not stored refs pending

On the closest stable/unstable nonnegative matrix and related stability radii

Nicola Guglielmi, Vladimir Yu. Protasov

arxiv:1802.03054 v1 · 2018-02-08 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XAO5P642RPCXCR2HX662MNOPTE}

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	2026-05-18T00:24:02.144474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b81dd7fb9a8bc5714747bfbda635cf99005e8170c268c413017a1bf7eff8d1dd

Aliases

arxiv: 1802.03054 · arxiv_version: 1802.03054v1 · doi: 10.48550/arxiv.1802.03054 · pith_short_12: XAO5P642RPCX · pith_short_16: XAO5P642RPCXCR2H · pith_short_8: XAO5P642

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/XAO5P642RPCXCR2HX662MNOPTE \
  | 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: b81dd7fb9a8bc5714747bfbda635cf99005e8170c268c413017a1bf7eff8d1dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b7b80b4167bcc9ca28c3aba2d4d21aa7ecbdc2bdc0eaa6bf6b4e18fe46bace6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-02-08T21:29:14Z",
    "title_canon_sha256": "30f210f02a71a193e9344c9e1ffa4a80caab01bdc0f439a214481d7879616057"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.03054",
    "kind": "arxiv",
    "version": 1
  }
}