Pith Number

pith:VWAUYALG

pith:2023:VWAUYALG2QBSYPYXWR2GQIO4QJ

not attested not anchored not stored refs pending

Lyapunov exponents and nonadapted measures for dispersing billiards

Hongkun Zhang, Mark Demers, Vaughn Climenhaga, Yuri Lima

arxiv:2308.08042 v1 · 2023-08-15 · 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{VWAUYALG2QBSYPYXWR2GQIO4QJ}

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	2026-07-05T06:41:53.469409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad814c0166d4032c3f17b4746821dc824a8aabecb82094663ebbae54f62b050c

Aliases

arxiv: 2308.08042 · arxiv_version: 2308.08042v1 · doi: 10.48550/arxiv.2308.08042 · pith_short_12: VWAUYALG2QBS · pith_short_16: VWAUYALG2QBSYPYX · pith_short_8: VWAUYALG

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/VWAUYALG2QBSYPYXWR2GQIO4QJ \
  | 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: ad814c0166d4032c3f17b4746821dc824a8aabecb82094663ebbae54f62b050c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f207a2d4a3a789ea899bc164fc032a5a6a486d5b91c59d40e687c3c598aac110",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2023-08-15T21:13:36Z",
    "title_canon_sha256": "9b247432f218fead4307392e764e8dac40e492e939e708e8f1b74a7de8315e0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.08042",
    "kind": "arxiv",
    "version": 1
  }
}