Pith Number

pith:5DPYOLMC

pith:2019:5DPYOLMCFVYSIVZJRUAE2GZQY4

not attested not anchored not stored refs pending

Fast approximation of the $p$-radius, matrix pressure or generalised Lyapunov exponent for positive and dominated matrices

Ian D. Morris

arxiv:1905.00749 v1 · 2019-05-02 · math.DS · 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{5DPYOLMCFVYSIVZJRUAE2GZQY4}

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	2026-05-17T23:47:09.405625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8df872d822d712457298d004d1b30c73bdf2ad986344e23c32d73e55fdf8f06

Aliases

arxiv: 1905.00749 · arxiv_version: 1905.00749v1 · doi: 10.48550/arxiv.1905.00749 · pith_short_12: 5DPYOLMCFVYS · pith_short_16: 5DPYOLMCFVYSIVZJ · pith_short_8: 5DPYOLMC

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/5DPYOLMCFVYSIVZJRUAE2GZQY4 \
  | 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: e8df872d822d712457298d004d1b30c73bdf2ad986344e23c32d73e55fdf8f06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f6130ca24824dd074a37334ae7d57109dee8224455ea5926b0ad1775e6468eb",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-05-02T13:59:11Z",
    "title_canon_sha256": "53952fba7f7334b5dbb93698cae5203a65f926e77499de3edc12d3c4de407655"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.00749",
    "kind": "arxiv",
    "version": 1
  }
}