Pith Number

pith:QZTWPQCC

pith:2014:QZTWPQCCD3W43JB2JPPCGMKD3M

not attested not anchored not stored refs pending

Lyapunov Exponents of Linear Cocycles Over Markov Shifts

Ela\'is C. Malheiro, Marcelo Viana

arxiv:1410.1411 v1 · 2014-10-06 · 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{QZTWPQCCD3W43JB2JPPCGMKD3M}

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	2026-05-18T02:41:02.160182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

866767c0421eedcda43a4bde233143db2167c7dc38ac1225b5ac2a4bb141c70e

Aliases

arxiv: 1410.1411 · arxiv_version: 1410.1411v1 · doi: 10.48550/arxiv.1410.1411 · pith_short_12: QZTWPQCCD3W4 · pith_short_16: QZTWPQCCD3W43JB2 · pith_short_8: QZTWPQCC

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/QZTWPQCCD3W43JB2JPPCGMKD3M \
  | 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: 866767c0421eedcda43a4bde233143db2167c7dc38ac1225b5ac2a4bb141c70e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67e3210c364be991bc6178e1c015fc405de791a9e851899ad96fb4e7b549e9a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-10-06T15:16:12Z",
    "title_canon_sha256": "1accc40dbc8e8d0094ef224045c06bf5e632185abc6fd8b527d87b5b30fe951f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.1411",
    "kind": "arxiv",
    "version": 1
  }
}