Pith Number

pith:WUKCWAZK

pith:2017:WUKCWAZKMILC35BTF22FBITDSN

not attested not anchored not stored refs pending

An improved algorithm to compute the exponential of a matrix

Fernando Casas, Philipp Bader, Sergio Blanes

arxiv:1710.10989 v1 · 2017-10-30 · 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{WUKCWAZKMILC35BTF22FBITDSN}

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	2026-05-18T00:31:45.905372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5142b032a62162df4332eb450a263934d17a7c460dc48fcb66de4837eda5424

Aliases

arxiv: 1710.10989 · arxiv_version: 1710.10989v1 · doi: 10.48550/arxiv.1710.10989 · pith_short_12: WUKCWAZKMILC · pith_short_16: WUKCWAZKMILC35BT · pith_short_8: WUKCWAZK

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/WUKCWAZKMILC35BTF22FBITDSN \
  | 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: b5142b032a62162df4332eb450a263934d17a7c460dc48fcb66de4837eda5424

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5135ac7de9df490036dacffa602c91614440cbfbc97e7e5cb2cf32a2d4dff5d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-10-30T14:49:48Z",
    "title_canon_sha256": "7ad8d5d4e2a420f7827c949019821f0fb565864c3832821e16bab38c30d214c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.10989",
    "kind": "arxiv",
    "version": 1
  }
}