Pith Number

pith:BVR3GISP

pith:2010:BVR3GISPDFUJHGO53A7ALM2PPU

not attested not anchored not stored refs pending

Continuity of Lyapunov Exponents for Random 2D Matrices

Carlos Bocker-Neto, Marcelo Viana

arxiv:1012.0872 v1 · 2010-12-04 · 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{BVR3GISPDFUJHGO53A7ALM2PPU}

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	2026-05-18T04:34:08.497052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d63b3224f19689399ddd83e05b34f7d28f158927fc4b49d923610ff87eab242

Aliases

arxiv: 1012.0872 · arxiv_version: 1012.0872v1 · doi: 10.48550/arxiv.1012.0872 · pith_short_12: BVR3GISPDFUJ · pith_short_16: BVR3GISPDFUJHGO5 · pith_short_8: BVR3GISP

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/BVR3GISPDFUJHGO53A7ALM2PPU \
  | 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: 0d63b3224f19689399ddd83e05b34f7d28f158927fc4b49d923610ff87eab242

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3c25076a91c0bb3629767f81608f011ce13827c304493cbcb05cbff4f075125",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-12-04T02:22:48Z",
    "title_canon_sha256": "a95c2030167ffcc2cae31a0d73fc1aa3b38b5db9793df1fc5114768377fe9dd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0872",
    "kind": "arxiv",
    "version": 1
  }
}