Pith Number

pith:QO57M7UH

pith:2019:QO57M7UHU5AQOTLNSCADN66QY7

not attested not anchored not stored refs pending

Existence of Geometric Ergodic Periodic Measures of Stochastic Differential Equations

Chunrong Feng, Huaizhong Zhao, Johnny Zhong

arxiv:1904.08091 v1 · 2019-04-17 · 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{QO57M7UHU5AQOTLNSCADN66QY7}

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	2026-05-17T23:48:18.808344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83bbf67e87a741074d6d908036fbd0c7cfc1631f4553d7ad8a13bf3e7a790835

Aliases

arxiv: 1904.08091 · arxiv_version: 1904.08091v1 · doi: 10.48550/arxiv.1904.08091 · pith_short_12: QO57M7UHU5AQ · pith_short_16: QO57M7UHU5AQOTLN · pith_short_8: QO57M7UH

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/QO57M7UHU5AQOTLNSCADN66QY7 \
  | 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: 83bbf67e87a741074d6d908036fbd0c7cfc1631f4553d7ad8a13bf3e7a790835

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce7c46825d1765c25cad77cccc8d28f64bf76b8a197ded478aa7de62638fa1b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-04-17T05:52:57Z",
    "title_canon_sha256": "e1aed8dd13685b42012ddba6bd0d0750a5b03d76c01e3f23c42a8f426800f1b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.08091",
    "kind": "arxiv",
    "version": 1
  }
}