Pith Number

pith:WN2O7YQP

pith:2025:WN2O7YQPBPH7TB5AFYDQUXQYSB

not attested not anchored not stored refs pending

H\"older continuity of Lyapunov exponents for non-invertible and non-compact random cocycles

Pedro Duarte, Tom\'e Graxinha

arxiv:2506.04124 v1 · 2025-06-04 · 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{WN2O7YQPBPH7TB5AFYDQUXQYSB}

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.

Cited by

1 paper in Pith

Integral representation of Lyapunov exponents

Receipt and verification

First computed	2026-07-05T11:15:57.298238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b374efe20f0bcff987a02e070a5e189053e36d7377414a89012fbee2a931b368

Aliases

arxiv: 2506.04124 · arxiv_version: 2506.04124v1 · doi: 10.48550/arxiv.2506.04124 · pith_short_12: WN2O7YQPBPH7 · pith_short_16: WN2O7YQPBPH7TB5A · pith_short_8: WN2O7YQP

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/WN2O7YQPBPH7TB5AFYDQUXQYSB \
  | 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: b374efe20f0bcff987a02e070a5e189053e36d7377414a89012fbee2a931b368

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08365b5a24ebe34e60c99238cc719e9b2b3880ab56a6eceafb3a09ae319acf23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-06-04T16:16:24Z",
    "title_canon_sha256": "2f805d0604aa5ee83bdc9fd73d09739f0a3b65e1aaf77de075a84dfac7099ffd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.04124",
    "kind": "arxiv",
    "version": 1
  }
}