Pith Number

pith:ZLTR32T4

pith:2015:ZLTR32T4TEWJSBPAQL5X367Z7U

not attested not anchored not stored refs pending

The Leja method revisited: backward error analysis for the matrix exponential

Alexander Ostermann, Marco Caliari, Peter Kandolf, Stefan Rainer

arxiv:1506.08665 v2 · 2015-06-29 · 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{ZLTR32T4TEWJSBPAQL5X367Z7U}

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	2026-05-18T01:11:05.204922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cae71dea7c992c9905e082fb7dfbf9fd15670f5e2151521f2b30742595962e3b

Aliases

arxiv: 1506.08665 · arxiv_version: 1506.08665v2 · doi: 10.48550/arxiv.1506.08665 · pith_short_12: ZLTR32T4TEWJ · pith_short_16: ZLTR32T4TEWJSBPA · pith_short_8: ZLTR32T4

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/ZLTR32T4TEWJSBPAQL5X367Z7U \
  | 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: cae71dea7c992c9905e082fb7dfbf9fd15670f5e2151521f2b30742595962e3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51c581180eda2443715b82a81c8b459bd2802db7875476254873bf75dc948f94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-06-29T14:55:41Z",
    "title_canon_sha256": "94682a68e71d9f9332ff205ae7d0c928ed5a8083301efe17359fb7dbae982f06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08665",
    "kind": "arxiv",
    "version": 2
  }
}