Pith Number

pith:BQQKFZS3

pith:2017:BQQKFZS3OIYAUIWQLWEDJQT6JC

not attested not anchored not stored refs pending

Positive Lyapunov exponents for cocycles over time one anosov maps

Mauricio Poletti

arxiv:1705.00482 v3 · 2017-05-01 · 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{BQQKFZS3OIYAUIWQLWEDJQT6JC}

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	2026-05-18T00:40:40.099246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c20a2e65b72300a22d05d8834c27e48a8cab3a215d440a62aec47630e3e37d7

Aliases

arxiv: 1705.00482 · arxiv_version: 1705.00482v3 · doi: 10.48550/arxiv.1705.00482 · pith_short_12: BQQKFZS3OIYA · pith_short_16: BQQKFZS3OIYAUIWQ · pith_short_8: BQQKFZS3

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/BQQKFZS3OIYAUIWQLWEDJQT6JC \
  | 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: 0c20a2e65b72300a22d05d8834c27e48a8cab3a215d440a62aec47630e3e37d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43b3fe97c927f5f4d8475654ac3eae8ecff4d35912c110f46095256adcbbb4bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-05-01T11:52:24Z",
    "title_canon_sha256": "213ba71057a9000f05cc4560dcd68e07a99b3a24adc6f45d90b1e58b2216a02e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.00482",
    "kind": "arxiv",
    "version": 3
  }
}