Pith Number

pith:CGLY7DXZ

pith:2009:CGLY7DXZYBRQ3AWNP5VEM4TJMG

not attested not anchored not stored refs pending

Lack of strong completeness for stochastic flows

Michael Scheutzow, Xue-Mei Li

arxiv:0908.1839 v1 · 2009-08-13 · 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{CGLY7DXZYBRQ3AWNP5VEM4TJMG}

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	2026-05-18T01:15:32.861455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11978f8ef9c0630d82cd7f6a4672696180d9dc4b9dfddfe371e2740c7d37f8b3

Aliases

arxiv: 0908.1839 · arxiv_version: 0908.1839v1 · doi: 10.48550/arxiv.0908.1839 · pith_short_12: CGLY7DXZYBRQ · pith_short_16: CGLY7DXZYBRQ3AWN · pith_short_8: CGLY7DXZ

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/CGLY7DXZYBRQ3AWNP5VEM4TJMG \
  | 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: 11978f8ef9c0630d82cd7f6a4672696180d9dc4b9dfddfe371e2740c7d37f8b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85f1248145033d498ac3b06cc441198b447f410e62dffd7ec7eb542c76ebdb26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-08-13T07:53:14Z",
    "title_canon_sha256": "69b8c0d93f0ccbc7a7300c406875fb0a8841e985fc3b2c757ae938407f923afc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.1839",
    "kind": "arxiv",
    "version": 1
  }
}