Pith Number

pith:7KOY2NNJ

pith:2011:7KOY2NNJL7LODNIMSIXKN4ZVFQ

not attested not anchored not stored refs pending

A method to rigorously enclose eigendecompositions of interval matrices

Jean-Philippe Lessard, Roberto Castelli

arxiv:1112.5052 v1 · 2011-12-21 · math.DS · math.NA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7KOY2NNJL7LODNIMSIXKN4ZVFQ}

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	2026-05-18T03:51:47.191781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa9d8d35a95fd6e1b50c922ea6f3352c26e3df5a3eb0e8c785299c4cea30ccb1

Aliases

arxiv: 1112.5052 · arxiv_version: 1112.5052v1 · doi: 10.48550/arxiv.1112.5052 · pith_short_12: 7KOY2NNJL7LO · pith_short_16: 7KOY2NNJL7LODNIM · pith_short_8: 7KOY2NNJ

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/7KOY2NNJL7LODNIMSIXKN4ZVFQ \
  | 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: fa9d8d35a95fd6e1b50c922ea6f3352c26e3df5a3eb0e8c785299c4cea30ccb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f526d01e478e49bdd2e1592b79bca5d9126af05c60831738cb57c251c3d3855",
    "cross_cats_sorted": [
      "math.NA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-12-21T15:15:14Z",
    "title_canon_sha256": "acb034ffec2f21d5d14fa99133ce2a91c728c2314da63b4813f9dda656ff0c9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5052",
    "kind": "arxiv",
    "version": 1
  }
}