Pith Number

pith:YQOCD6KF

pith:2015:YQOCD6KFK4I5NIRBCRPKJZA5Z7

not attested not anchored not stored refs pending

Dominated Pesin theory: convex sum of hyperbolic measures

Christian Bonatti, Jairo Bochi, Katrin Gelfert

arxiv:1503.05901 v3 · 2015-03-19 · 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{YQOCD6KFK4I5NIRBCRPKJZA5Z7}

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	2026-05-18T00:40:01.427561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c41c21f9455711d6a221145ea4e41dcfe27c6a96b091fb4b9ffd169c52f21698

Aliases

arxiv: 1503.05901 · arxiv_version: 1503.05901v3 · doi: 10.48550/arxiv.1503.05901 · pith_short_12: YQOCD6KFK4I5 · pith_short_16: YQOCD6KFK4I5NIRB · pith_short_8: YQOCD6KF

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/YQOCD6KFK4I5NIRBCRPKJZA5Z7 \
  | 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: c41c21f9455711d6a221145ea4e41dcfe27c6a96b091fb4b9ffd169c52f21698

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7b2d83042d283dfab90c82efdd99048423d4cfaa343ee0b816098ea12b8805b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-03-19T19:27:10Z",
    "title_canon_sha256": "25a6410fd78e4eac9df1b25667dcf4821fd365ed68899482e99c43d737069343"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05901",
    "kind": "arxiv",
    "version": 3
  }
}