Pith Number

pith:4NB2FSPR

pith:2016:4NB2FSPRMFY4IIT6E45AVF54DU

not attested not anchored not stored refs pending

Fast computation of the matrix exponential for a Toeplitz matrix

Daniel Kressner, Robert Luce

arxiv:1607.01733 v3 · 2016-07-06 · 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{4NB2FSPRMFY4IIT6E45AVF54DU}

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	2026-06-04T18:09:52.312035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e343a2c9f16171c4227e273a0a97bc1d37f5a4928f83484197770efeddacd803

Aliases

arxiv: 1607.01733 · arxiv_version: 1607.01733v3 · doi: 10.48550/arxiv.1607.01733 · pith_short_12: 4NB2FSPRMFY4 · pith_short_16: 4NB2FSPRMFY4IIT6 · pith_short_8: 4NB2FSPR

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/4NB2FSPRMFY4IIT6E45AVF54DU \
  | 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: e343a2c9f16171c4227e273a0a97bc1d37f5a4928f83484197770efeddacd803

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5780f113eaf035bf58ecd9a5e51f4c8023b767392671fecdd2a1a2df1e411c07",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-07-06T18:20:56Z",
    "title_canon_sha256": "2daa053a1295c9f6661c36cb629be1494ec4f38f227d58347c144e34a79e74fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01733",
    "kind": "arxiv",
    "version": 3
  }
}