Pith Number

pith:HU5VLL3V

pith:2006:HU5VLL3VQRHCYBXMLXS5XULSLV

not attested not anchored not stored refs pending

A Vector-Valued Almost Sure Invariance Principle for Hyperbolic Dynamical Systems

Ian Melbourne, Matthew Nicol

arxiv:math/0606535 v1 · 2006-06-21 · math.DS · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HU5VLL3VQRHCYBXMLXS5XULSLV}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:31:48.824193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d3b55af75844e2c06ec5de5dbd1725d678a61f89cb532d0bdf5f965e7f45125

Aliases

arxiv: math/0606535 · arxiv_version: math/0606535v1 · doi: 10.48550/arxiv.math/0606535 · pith_short_12: HU5VLL3VQRHC · pith_short_16: HU5VLL3VQRHCYBXM · pith_short_8: HU5VLL3V

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/HU5VLL3VQRHCYBXMLXS5XULSLV \
  | 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: 3d3b55af75844e2c06ec5de5dbd1725d678a61f89cb532d0bdf5f965e7f45125

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6c2874c17086b306c53f079a0aa6c2982089c25090eb4f971897cfe9071b528",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2006-06-21T15:59:07Z",
    "title_canon_sha256": "fc318e92c5985104035b36c1c164957bf9b93cfc07ddcc97c449a4e14ab6a8c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0606535",
    "kind": "arxiv",
    "version": 1
  }
}