Pith Number

pith:PJZWO5Q3

pith:2011:PJZWO5Q345ZMRDHYAAMJ7IIOZA

not attested not anchored not stored refs pending

Cocycles with one exponent over partially hyperbolic systems

Boris Kalinin, Victoria Sadovskaya

arxiv:1111.3400 v2 · 2011-11-15 · 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{PJZWO5Q345ZMRDHYAAMJ7IIOZA}

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	2026-05-18T03:46:03.715885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a7367761be772c88cf800189fa10ec81173cd1b81f2cf11108fa444a158362d

Aliases

arxiv: 1111.3400 · arxiv_version: 1111.3400v2 · doi: 10.48550/arxiv.1111.3400 · pith_short_12: PJZWO5Q345ZM · pith_short_16: PJZWO5Q345ZMRDHY · pith_short_8: PJZWO5Q3

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/PJZWO5Q345ZMRDHYAAMJ7IIOZA \
  | 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: 7a7367761be772c88cf800189fa10ec81173cd1b81f2cf11108fa444a158362d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b20e869f6f77f5b7c19235767c9e8b4ad440a1422af25b96b649b90664a21ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-11-15T00:57:44Z",
    "title_canon_sha256": "a9e5d2b2d9db6238c07141783ddb8fb9dd07928db05b3faed2222f9048646907"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3400",
    "kind": "arxiv",
    "version": 2
  }
}