Pith Number

pith:3NYV7SBL

pith:2011:3NYV7SBL5B5P6EHFSHE2CFSJVI

not attested not anchored not stored refs pending

Hitting properties and non-uniqueness for SDE driven by stable processes

Julien Berestycki, Leif Doering, Leonid Mytnik, Lorenzo Zambotti

arxiv:1111.4388 v2 · 2011-11-18 · 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{3NYV7SBL5B5P6EHFSHE2CFSJVI}

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	2026-05-18T04:07:52.272836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db715fc82be87aff10e591c9a11649aa227f9440613101960c73b4f8d9cd281e

Aliases

arxiv: 1111.4388 · arxiv_version: 1111.4388v2 · doi: 10.48550/arxiv.1111.4388 · pith_short_12: 3NYV7SBL5B5P · pith_short_16: 3NYV7SBL5B5P6EHF · pith_short_8: 3NYV7SBL

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/3NYV7SBL5B5P6EHFSHE2CFSJVI \
  | 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: db715fc82be87aff10e591c9a11649aa227f9440613101960c73b4f8d9cd281e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fef98f09b0e1340d17762fd045fdb862ca0b6cca4df049a98b9680dadba89c67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-18T15:17:44Z",
    "title_canon_sha256": "2aaf3143380ec157ab56c3ff081ee1dae8530b741d961857133dae81153aea79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4388",
    "kind": "arxiv",
    "version": 2
  }
}