Pith Number

pith:X7BL2RYE

pith:2012:X7BL2RYEAOQNVDQAXED7YAT3AU

not attested not anchored not stored refs pending

Quantitative ergodicity for some switched dynamical systems

Florent Malrieu (IRMAR), Michel Bena\"im (UNINE), Pierre-Andr\'e Zitt (IMB), St\'ephane Le Borgne (IRMAR)

arxiv:1204.1922 v4 · 2012-04-09 · 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{X7BL2RYEAOQNVDQAXED7YAT3AU}

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	2026-05-18T03:39:05.150821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfc2bd470403a0da8e00b907fc027b0502583974e51bd02fd2b8720dbfbbe18e

Aliases

arxiv: 1204.1922 · arxiv_version: 1204.1922v4 · doi: 10.48550/arxiv.1204.1922 · pith_short_12: X7BL2RYEAOQN · pith_short_16: X7BL2RYEAOQNVDQA · pith_short_8: X7BL2RYE

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/X7BL2RYEAOQNVDQAXED7YAT3AU \
  | 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: bfc2bd470403a0da8e00b907fc027b0502583974e51bd02fd2b8720dbfbbe18e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b025dd2c27abdd4d55616a552dc893293fd9287b0c724987a65cd15c6381d25c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-04-09T16:54:59Z",
    "title_canon_sha256": "526262d9a7ef056b9239814cde0265a7b0f7916524927c79cf499b590c520cee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1922",
    "kind": "arxiv",
    "version": 4
  }
}