Pith Number

pith:BZBVCR5N

pith:2017:BZBVCR5NCR7ESAS2B6F557GVFD

not attested not anchored not stored refs pending

An Almost Sure Invariance Principle for Several Classes of Random Dynamical Systems

Jason Atnip

arxiv:1702.07691 v2 · 2017-02-24 · 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{BZBVCR5NCR7ESAS2B6F557GVFD}

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	2026-05-18T00:23:45.907117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e435147ad147e49025a0f8bdefcd528fe549e6587454cfe5e86fdfcad04f024

Aliases

arxiv: 1702.07691 · arxiv_version: 1702.07691v2 · doi: 10.48550/arxiv.1702.07691 · pith_short_12: BZBVCR5NCR7E · pith_short_16: BZBVCR5NCR7ESAS2 · pith_short_8: BZBVCR5N

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/BZBVCR5NCR7ESAS2B6F557GVFD \
  | 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: 0e435147ad147e49025a0f8bdefcd528fe549e6587454cfe5e86fdfcad04f024

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ef204c0eb07163b156c5199f6f7f6d88f940908f18714025cc5e78e24b1f5ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-02-24T18:20:28Z",
    "title_canon_sha256": "1ac05f134117a3e98217e70a7ef4456821c8ae0c6b07c0a84bc15b6582cce590"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.07691",
    "kind": "arxiv",
    "version": 2
  }
}