Pith Number

pith:4M3VFYEC

pith:2011:4M3VFYECGOQLFF52W7GPQSVDTC

not attested not anchored not stored refs pending

A note on Borel--Cantelli lemmas for non-uniformly hyperbolic dynamical systems

M. Nicol, N. Haydn, S. Vaienti, T. Persson

arxiv:1103.2113 v1 · 2011-03-10 · 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{4M3VFYECGOQLFF52W7GPQSVDTC}

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	2026-05-18T04:27:02.946441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e33752e08233a0b297bab7ccf84aa398bbd7ec9d5e4779f40d3cafc06a64605b

Aliases

arxiv: 1103.2113 · arxiv_version: 1103.2113v1 · doi: 10.48550/arxiv.1103.2113 · pith_short_12: 4M3VFYECGOQL · pith_short_16: 4M3VFYECGOQLFF52 · pith_short_8: 4M3VFYEC

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/4M3VFYECGOQLFF52W7GPQSVDTC \
  | 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: e33752e08233a0b297bab7ccf84aa398bbd7ec9d5e4779f40d3cafc06a64605b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "566e5a3c92a13e065b057f2778b977424f73dc57c97be2b30eccd9cb6b731b02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-03-10T19:55:03Z",
    "title_canon_sha256": "623627c7114e13d65d74193db3adb0f0488a75166308c9f6cb00e038bfcb8914"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2113",
    "kind": "arxiv",
    "version": 1
  }
}