Pith Number

pith:II2EQEHN

pith:2024:II2EQEHN525HBIR3QG64J6DD66

not attested not anchored not stored refs pending

Coupling between Brownian motion and random walks on the infinite percolation cluster

Chenlin Gu, Ruizhe Xu, Zhonggen Su

arxiv:2411.04778 v2 · 2024-11-07 · 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{II2EQEHN525HBIR3QG64J6DD66}

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.

Cited by

1 paper in Pith

The diffusivity of supercritical Bernoulli percolation is infinitely differentiable

Receipt and verification

First computed	2026-07-05T11:47:58.613896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42344810edeeba70a23b81bdc4f863f7843a66df6ee9e6cf28758f2b64976373

Aliases

arxiv: 2411.04778 · arxiv_version: 2411.04778v2 · doi: 10.48550/arxiv.2411.04778 · pith_short_12: II2EQEHN525H · pith_short_16: II2EQEHN525HBIR3 · pith_short_8: II2EQEHN

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/II2EQEHN525HBIR3QG64J6DD66 \
  | 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: 42344810edeeba70a23b81bdc4f863f7843a66df6ee9e6cf28758f2b64976373

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fad00be92a5d6043a59dee4a73b19be4d5f0a78d6ba4db5bea6950dfc452c06c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-11-07T15:17:54Z",
    "title_canon_sha256": "625f4409ba1d52e0b4d821f5288edab994689199fa5f3738d83f944757c63cb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.04778",
    "kind": "arxiv",
    "version": 2
  }
}