Pith Number

pith:OTPTWWAU

pith:2016:OTPTWWAUCKCCNPQGFPTVPII4QW

not attested not anchored not stored refs pending

Fast and backward stable computation of the eigenvalues and eigenvectors of matrix polynomials

David S. Watkins, Jared Aurentz, Leonardo Robol, Raf Vandebril, Thomas Mach

arxiv:1611.10142 v2 · 2016-11-30 · 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{OTPTWWAUCKCCNPQGFPTVPII4QW}

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	2026-05-18T00:42:17.598443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74df3b5814128426be062be757a11c85b00824fe6a0318f2b8f5bba7f5d8eb67

Aliases

arxiv: 1611.10142 · arxiv_version: 1611.10142v2 · doi: 10.48550/arxiv.1611.10142 · pith_short_12: OTPTWWAUCKCC · pith_short_16: OTPTWWAUCKCCNPQG · pith_short_8: OTPTWWAU

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/OTPTWWAUCKCCNPQGFPTVPII4QW \
  | 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: 74df3b5814128426be062be757a11c85b00824fe6a0318f2b8f5bba7f5d8eb67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54af18bd1009364d0fc479e39481742fd128fd82d25a94e4f0c7ed0547a08c26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-11-30T13:38:07Z",
    "title_canon_sha256": "98ea8818073cfc16bab28a7d5f5f89d041625e54a3952227af524b35e666a193"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.10142",
    "kind": "arxiv",
    "version": 2
  }
}