Pith Number

pith:VPAICHAK

pith:2009:VPAICHAKGNJUIRA5LWKOCQ3GFJ

not attested not anchored not stored refs pending

Almost sure invariance principle for dynamical systems by spectral methods

S\'ebastien Gou\"ezel (IRMAR)

arxiv:0907.1404 v3 · 2009-07-08 · math.DS · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VPAICHAKGNJUIRA5LWKOCQ3GFJ}

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	2026-05-18T04:29:44.661106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abc0811c0a335344441d5d94e143662a79239d67ec4b9ab4d8dcb428785b19b7

Aliases

arxiv: 0907.1404 · arxiv_version: 0907.1404v3 · doi: 10.48550/arxiv.0907.1404 · pith_short_12: VPAICHAKGNJU · pith_short_16: VPAICHAKGNJUIRA5 · pith_short_8: VPAICHAK

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/VPAICHAKGNJUIRA5LWKOCQ3GFJ \
  | 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: abc0811c0a335344441d5d94e143662a79239d67ec4b9ab4d8dcb428785b19b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b52b3286c1001983fd0bfcfb97cf4cf85b19d90c869754b93e35f0ce679ede8c",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-07-08T14:48:25Z",
    "title_canon_sha256": "15a523cecbd271034b847b1c740a607098d789ced33bccefeb390524f5ba399e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.1404",
    "kind": "arxiv",
    "version": 3
  }
}