Pith Number

pith:6XFCAAJH

pith:2018:6XFCAAJHE5NCLT6I6XICRQPYP5

not attested not anchored not stored refs pending

Stability and Collapse of the Lyapunov spectrum for Perron-Frobenius Operator cocycles

Anthony Quas, Cecilia Gonz\'alez-Tokman

arxiv:1806.08873 v2 · 2018-06-22 · 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{6XFCAAJHE5NCLT6I6XICRQPYP5}

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	2026-05-18T00:00:08.450916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5ca200127275a25cfc8f5d028c1f87f4d40923a31d2c42efbb1bc8f2f6a5a7f

Aliases

arxiv: 1806.08873 · arxiv_version: 1806.08873v2 · doi: 10.48550/arxiv.1806.08873 · pith_short_12: 6XFCAAJHE5NC · pith_short_16: 6XFCAAJHE5NCLT6I · pith_short_8: 6XFCAAJH

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/6XFCAAJHE5NCLT6I6XICRQPYP5 \
  | 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: f5ca200127275a25cfc8f5d028c1f87f4d40923a31d2c42efbb1bc8f2f6a5a7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1988c595beff58745b85be73fcacea1793f543d4ab1c585e607deff56e6deb70",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-06-22T22:39:17Z",
    "title_canon_sha256": "fd423000cd2d744fd8567fefa0421fc03dc854329e3076c83fe896d28a2915e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.08873",
    "kind": "arxiv",
    "version": 2
  }
}