Pith Number

pith:FYI4N6PG

pith:2019:FYI4N6PGI7E4VBQ5CAWEVTPG3G

not attested not anchored not stored refs pending

Lyapunov and Sylvester equations: A quadrature framework

Christian Bertram, Heike Fa{\ss}bender

arxiv:1903.05383 v1 · 2019-03-13 · 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{FYI4N6PGI7E4VBQ5CAWEVTPG3G}

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	2026-06-04T20:14:13.029037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e11c6f9e647c9ca861d102c4acde6d99bcaf316a10407e7b39b1352be781ea9

Aliases

arxiv: 1903.05383 · arxiv_version: 1903.05383v1 · doi: 10.48550/arxiv.1903.05383 · pith_short_12: FYI4N6PGI7E4 · pith_short_16: FYI4N6PGI7E4VBQ5 · pith_short_8: FYI4N6PG

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/FYI4N6PGI7E4VBQ5CAWEVTPG3G \
  | 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: 2e11c6f9e647c9ca861d102c4acde6d99bcaf316a10407e7b39b1352be781ea9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4895490badeb2f0da0764a70d15fd4670c885eeca4ff0b8fd98c53c8930bba70",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-03-13T09:58:43Z",
    "title_canon_sha256": "6dbd1427d7e13a3b541ca5ff81dab2b8274bf03400e915ddb3cd6a8c47b8b8ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.05383",
    "kind": "arxiv",
    "version": 1
  }
}