Pith Number

pith:K2GHCOSL

pith:2018:K2GHCOSLJTEEYEUU34TRPBI3AN

not attested not anchored not stored refs pending

Robust existence of nonhyperbolic ergodic measures with positive entropy and full support

Christian Bonatti, Dominik Kwietniak, Lorenzo J. D\'iaz

arxiv:1810.02384 v1 · 2018-10-04 · 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{K2GHCOSLJTEEYEUU34TRPBI3AN}

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	2026-05-18T00:04:02.052974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

568c713a4b4cc84c1294df2717851b0369fc4d449cc204259f96b855972683ff

Aliases

arxiv: 1810.02384 · arxiv_version: 1810.02384v1 · doi: 10.48550/arxiv.1810.02384 · pith_short_12: K2GHCOSLJTEE · pith_short_16: K2GHCOSLJTEEYEUU · pith_short_8: K2GHCOSL

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/K2GHCOSLJTEEYEUU34TRPBI3AN \
  | 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: 568c713a4b4cc84c1294df2717851b0369fc4d449cc204259f96b855972683ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bb6461c65ec46f59b8d55d978b534a570c55c8a6ff020219aa94e417b1028d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-10-04T18:20:21Z",
    "title_canon_sha256": "4323d955542545b90361dc82e3493c7afc16e5f693adf6607f760d44fad89b10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.02384",
    "kind": "arxiv",
    "version": 1
  }
}