Pith Number

pith:P3WYMBR5

pith:2013:P3WYMBR5TTWVDHSD6NU65WK6PU

not attested not anchored not stored refs pending

Stochastic stability of Lyapunov exponents and Oseledets splittings for semi-invertible matrix cocycles

Anthony Quas, Cecilia Gonz\'alez-Tokman, Gary Froyland

arxiv:1310.2398 v1 · 2013-10-09 · 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{P3WYMBR5TTWVDHSD6NU65WK6PU}

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	2026-05-18T03:10:56.934166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7eed86063d9ced519e43f369eed95e7d0e9d8cfba26acdcfd3b53b5cb4d1ef04

Aliases

arxiv: 1310.2398 · arxiv_version: 1310.2398v1 · doi: 10.48550/arxiv.1310.2398 · pith_short_12: P3WYMBR5TTWV · pith_short_16: P3WYMBR5TTWVDHSD · pith_short_8: P3WYMBR5

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/P3WYMBR5TTWVDHSD6NU65WK6PU \
  | 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: 7eed86063d9ced519e43f369eed95e7d0e9d8cfba26acdcfd3b53b5cb4d1ef04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd8250100a00c900903ccef58c5d8167de98e92b9df1e20dac420720b2d6bd6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-10-09T08:59:29Z",
    "title_canon_sha256": "b2be680cc52584879e600b2ee9304c9d9da9c9111667fcbfcd186152d2d50df3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2398",
    "kind": "arxiv",
    "version": 1
  }
}