Pith Number

pith:CSX3JQ5C

pith:2011:CSX3JQ5CWMMIHHACS76LRUSH4E

not attested not anchored not stored refs pending

Mather sets for sequences of matrices and applications to the study of joint spectral radii

Ian D. Morris

arxiv:1109.4615 v1 · 2011-09-21 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CSX3JQ5CWMMIHHACS76LRUSH4E}

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	2026-05-18T02:58:00.453679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14afb4c3a2b318839c0297fcb8d247e12b6fcf794cfa6b348c684fd9706dc22a

Aliases

arxiv: 1109.4615 · arxiv_version: 1109.4615v1 · doi: 10.48550/arxiv.1109.4615 · pith_short_12: CSX3JQ5CWMMI · pith_short_16: CSX3JQ5CWMMIHHAC · pith_short_8: CSX3JQ5C

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/CSX3JQ5CWMMIHHACS76LRUSH4E \
  | 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: 14afb4c3a2b318839c0297fcb8d247e12b6fcf794cfa6b348c684fd9706dc22a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e808821f684afbcf7f35ba42bfa83f1a3b6086d132e7514ef1875fe6d3eb078",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-09-21T19:05:14Z",
    "title_canon_sha256": "d8bf2b408e4839bf46da030f7cf533fcf9cb1f81c9b793def38093e8b56b4fb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4615",
    "kind": "arxiv",
    "version": 1
  }
}