Pith Number

pith:T3LE46WA

pith:2019:T3LE46WAEVDA3DMN6FZ7HGRR4U

not attested not anchored not stored refs pending

Computing the Kreiss Constant of a Matrix

Tim Mitchell

arxiv:1907.06537 v4 · 2019-07-15 · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T3LE46WAEVDA3DMN6FZ7HGRR4U}

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	2026-07-05T02:01:09.471117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ed64e7ac025460d8d8df173f39a31e51ce2f285e5c5fcc8c78ad031fc61dc41

Aliases

arxiv: 1907.06537 · arxiv_version: 1907.06537v4 · doi: 10.48550/arxiv.1907.06537 · pith_short_12: T3LE46WAEVDA · pith_short_16: T3LE46WAEVDA3DMN · pith_short_8: T3LE46WA

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/T3LE46WAEVDA3DMN6FZ7HGRR4U \
  | 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: 9ed64e7ac025460d8d8df173f39a31e51ce2f285e5c5fcc8c78ad031fc61dc41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "707db87d0575f0bdab269ac433dc75a4b8b6c0fe94f173fd6e014014bfd23245",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-07-15T15:05:10Z",
    "title_canon_sha256": "b0018cfe78d51f8a9d9d3e6869d9b819df69c0eb9af2ad288ed12854a9d42eb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.06537",
    "kind": "arxiv",
    "version": 4
  }
}