Pith Number

pith:SL7HPLVM

pith:2026:SL7HPLVMRX7WXQGOXEEMN47MC4

not attested not anchored not stored refs pending

Ergodicity of reflected stochastic reaction-diffusion equations driven by space-time white noise

Jianliang Zhai, Shijie Shang, Tusheng Zhang

arxiv:2606.30080 v1 · 2026-06-29 · 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{SL7HPLVMRX7WXQGOXEEMN47MC4}

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	2026-06-30T02:17:48.687050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92fe77aeac8dff6bc0ceb908c6f3ec171538b40fed932990da1db268b3ce4202

Aliases

arxiv: 2606.30080 · arxiv_version: 2606.30080v1 · doi: 10.48550/arxiv.2606.30080 · pith_short_12: SL7HPLVMRX7W · pith_short_16: SL7HPLVMRX7WXQGO · pith_short_8: SL7HPLVM

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/SL7HPLVMRX7WXQGOXEEMN47MC4 \
  | 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: 92fe77aeac8dff6bc0ceb908c6f3ec171538b40fed932990da1db268b3ce4202

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61718a7e3f996b9cc476a334a5028603e67e276bdacde565be18c34ce4783268",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-29T10:12:34Z",
    "title_canon_sha256": "08c252cc03aa16ff53e97c37d76cebdd8befe07684607d7e2fe614dff5ffe7fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30080",
    "kind": "arxiv",
    "version": 1
  }
}