Pith Number

pith:JMSHSDIF

pith:2018:JMSHSDIFQMJAQOOKAFRK37PIOU

not attested not anchored not stored refs pending

Solution Formulas for Differential Sylvester and Lyapunov Equations

Jan Heiland, Maximilian Behr, Peter Benner

arxiv:1811.08327 v1 · 2018-11-20 · 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{JMSHSDIFQMJAQOOKAFRK37PIOU}

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.

Cited by

1 paper in Pith

RT-Transformer: The Transformer Block as a Spherical State Estimator

Receipt and verification

First computed	2026-05-18T00:00:14.333467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b24790d0583120839ca0162adfde875306385ee488ad8f135cec5b2d2ee6d0c

Aliases

arxiv: 1811.08327 · arxiv_version: 1811.08327v1 · doi: 10.48550/arxiv.1811.08327 · pith_short_12: JMSHSDIFQMJA · pith_short_16: JMSHSDIFQMJAQOOK · pith_short_8: JMSHSDIF

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/JMSHSDIFQMJAQOOKAFRK37PIOU \
  | 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: 4b24790d0583120839ca0162adfde875306385ee488ad8f135cec5b2d2ee6d0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "455d7f3071b89ffb4b049e3bde83012c9cc2b23f09ec187c6133e1d5112e3578",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-11-20T15:53:28Z",
    "title_canon_sha256": "3229a49111772395cb12f99a6ba7fe1056db1863231318b5ada3397b3a3e24db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.08327",
    "kind": "arxiv",
    "version": 1
  }
}