Pith Number

pith:BA6U3BUT

pith:2017:BA6U3BUTP6QPVUPTKG5TEZ2NKZ

not attested not anchored not stored refs pending

Lyapunov exponents of the Brownian motion on a K\"ahler manifold

Bertrand Deroin, Jeremy Daniel

arxiv:1702.02551 v1 · 2017-02-08 · math.DS · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BA6U3BUTP6QPVUPTKG5TEZ2NKZ}

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	2026-05-18T00:51:05.743789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

083d4d86937fa0fad1f351bb32674d565886076fda6489678c25f401667ba3d8

Aliases

arxiv: 1702.02551 · arxiv_version: 1702.02551v1 · doi: 10.48550/arxiv.1702.02551 · pith_short_12: BA6U3BUTP6QP · pith_short_16: BA6U3BUTP6QPVUPT · pith_short_8: BA6U3BUT

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/BA6U3BUTP6QPVUPTKG5TEZ2NKZ \
  | 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: 083d4d86937fa0fad1f351bb32674d565886076fda6489678c25f401667ba3d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1eb128de9901d07e6fc350cf227bf3d528996c8dde4b0a8d597e65f005595982",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-02-08T18:20:13Z",
    "title_canon_sha256": "a5262e97443ed03462f9d0e82446b8048a3f33c73a5ed3f49075b08d0a0a0156"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.02551",
    "kind": "arxiv",
    "version": 1
  }
}