Pith Number

pith:IVS6NGK6

pith:2018:IVS6NGK6MLQPMCM5YV6WCKS7VB

not attested not anchored not stored refs pending

A user-friendly condition for exponential ergodicity in randomly switched environments

Edouard Strickler, Michel Bena\"im, Tobias Hurth

arxiv:1803.03456 v4 · 2018-03-09 · math.PR · 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{IVS6NGK6MLQPMCM5YV6WCKS7VB}

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	2026-05-18T00:11:57.203579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4565e6995e62e0f6099dc57d612a5fa85f3cfb522ec3290b6b489b87edb02586

Aliases

arxiv: 1803.03456 · arxiv_version: 1803.03456v4 · doi: 10.48550/arxiv.1803.03456 · pith_short_12: IVS6NGK6MLQP · pith_short_16: IVS6NGK6MLQPMCM5 · pith_short_8: IVS6NGK6

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/IVS6NGK6MLQPMCM5YV6WCKS7VB \
  | 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: 4565e6995e62e0f6099dc57d612a5fa85f3cfb522ec3290b6b489b87edb02586

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcbf6999985265a5ced4729fc4eceafb2d461b42d4d0c1445cec3c97b7917f0f",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-03-09T10:25:05Z",
    "title_canon_sha256": "c2656c07b8e6c3c42cdcf1fd40a619a464d700683abf6a7b1c9606edb3c08a54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.03456",
    "kind": "arxiv",
    "version": 4
  }
}