Pith Number

pith:YFIIKMX4

pith:2019:YFIIKMX4XEJL46MK3VQ3IDYFQQ

not attested not anchored not stored refs pending

Random products of matrices: a dynamical point of view

Hao Wu, Lucas Kaufmann, Tien-Cuong Dinh

arxiv:1905.08461 v1 · 2019-05-21 · math.CV · math.DS · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YFIIKMX4XEJL46MK3VQ3IDYFQQ}

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	2026-05-17T23:45:43.191769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1508532fcb912be798add61b40f058435fcdb68fc3e7e00cf466379c0d22851

Aliases

arxiv: 1905.08461 · arxiv_version: 1905.08461v1 · doi: 10.48550/arxiv.1905.08461 · pith_short_12: YFIIKMX4XEJL · pith_short_16: YFIIKMX4XEJL46MK · pith_short_8: YFIIKMX4

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/YFIIKMX4XEJL46MK3VQ3IDYFQQ \
  | 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: c1508532fcb912be798add61b40f058435fcdb68fc3e7e00cf466379c0d22851

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80ed2c44c9288817d96ceee297d8a05d410553c5ca02eed825053687801c51d8",
    "cross_cats_sorted": [
      "math.DS",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2019-05-21T06:52:06Z",
    "title_canon_sha256": "10583be476bf1cd8b5d2c2ded0fac813d480628f92f60f54940e68df9d662357"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.08461",
    "kind": "arxiv",
    "version": 1
  }
}