Pith Number

pith:ZF6CWGUJ

pith:2015:ZF6CWGUJIRPBMK6RSPB7LSXXP7

not attested not anchored not stored refs pending

Robust criterion for the existence of nonhyperbolic ergodic measures

Christian Bonatti, Jairo Bochi, Lorenzo J. D\'iaz

arxiv:1502.06535 v1 · 2015-02-23 · 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{ZF6CWGUJIRPBMK6RSPB7LSXXP7}

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	2026-05-18T01:12:13.550511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c97c2b1a89445e162bd193c3f5caf77fc9f65df1804d3e139dfe83ec9c624d86

Aliases

arxiv: 1502.06535 · arxiv_version: 1502.06535v1 · doi: 10.48550/arxiv.1502.06535 · pith_short_12: ZF6CWGUJIRPB · pith_short_16: ZF6CWGUJIRPBMK6R · pith_short_8: ZF6CWGUJ

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/ZF6CWGUJIRPBMK6RSPB7LSXXP7 \
  | 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: c97c2b1a89445e162bd193c3f5caf77fc9f65df1804d3e139dfe83ec9c624d86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "185400c9a5cf93ec5c3373297d5b434846f96e4bf5615d8568c9898cb0ce401d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-02-23T18:25:00Z",
    "title_canon_sha256": "4521418aea8dae3f7d2b23655291fb6baafdc1a0bca88ff984172fdb4b86107d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06535",
    "kind": "arxiv",
    "version": 1
  }
}