Pith Number

pith:WW4EPFU2

pith:2015:WW4EPFU2525SHFZCI5UCIVWXQW

not attested not anchored not stored refs pending

The Lyapunov matrix equation. Matrix analysis from a computational perspective

Valeria Simoncini

arxiv:1501.07564 v1 · 2015-01-29 · math.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{WW4EPFU2525SHFZCI5UCIVWXQW}

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	2026-05-18T02:28:21.634349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5b847969aeebb23972247682456d785b92cf62c2335717f435b36042052d5c2

Aliases

arxiv: 1501.07564 · arxiv_version: 1501.07564v1 · doi: 10.48550/arxiv.1501.07564 · pith_short_12: WW4EPFU2525S · pith_short_16: WW4EPFU2525SHFZC · pith_short_8: WW4EPFU2

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/WW4EPFU2525SHFZCI5UCIVWXQW \
  | 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: b5b847969aeebb23972247682456d785b92cf62c2335717f435b36042052d5c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "815a512c4af970efbc6c143854cbdf22b49b29bbe44d791e7e81fa500e2bb2f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-01-29T19:58:02Z",
    "title_canon_sha256": "3bb266e421a48650c7e4eedaa9650e982d3a235280dfe8d4b0b005501534894d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.07564",
    "kind": "arxiv",
    "version": 1
  }
}