Pith Number

pith:PXN4FRS5

pith:2016:PXN4FRS5ZFQLUZJR3BGEJLD42A

not attested not anchored not stored refs pending

Computing the Action of Trigonometric and Hyperbolic Matrix Functions

Nicholas J. Higham, Peter Kandolf

arxiv:1607.04012 v2 · 2016-07-14 · 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{PXN4FRS5ZFQLUZJR3BGEJLD42A}

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	2026-05-18T00:45:22.427171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ddbc2c65dc960ba6531d84c44ac7cd006de729808979f079e1ccf707d9624e8

Aliases

arxiv: 1607.04012 · arxiv_version: 1607.04012v2 · doi: 10.48550/arxiv.1607.04012 · pith_short_12: PXN4FRS5ZFQL · pith_short_16: PXN4FRS5ZFQLUZJR · pith_short_8: PXN4FRS5

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/PXN4FRS5ZFQLUZJR3BGEJLD42A \
  | 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: 7ddbc2c65dc960ba6531d84c44ac7cd006de729808979f079e1ccf707d9624e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3116ebc44358e1558c35b1c66e903522389c4f0e5d881fba2a9889cac36959b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-07-14T06:58:04Z",
    "title_canon_sha256": "2b172a719c2f8074aac1acc38a6fafae50282f3f98d2bc42d1d202c4d8949d2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04012",
    "kind": "arxiv",
    "version": 2
  }
}