Pith Number

pith:G6ZZOHGF

pith:2026:G6ZZOHGFKH2PDMZCOG6TSBW3GO

not attested not anchored not stored refs pending

The $K$-th nearest neighbor random walk on a Poisson point process gets trapped

Anne-Laure Basdevant (LPSM (UMR\_8001)), David Coupier (IMT Nord Europe), Jean-Baptiste Gou\'er\'e (IDP), Marie Th\'eret (FP2M, Modal'x)

arxiv:2606.11271 v1 · 2026-06-09 · 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{G6ZZOHGFKH2PDMZCOG6TSBW3GO}

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	2026-06-11T00:08:15.966638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37b3971cc551f4f1b32271bd3906db338859c740898040f0dfe398bc249e8656

Aliases

arxiv: 2606.11271 · arxiv_version: 2606.11271v1 · doi: 10.48550/arxiv.2606.11271 · pith_short_12: G6ZZOHGFKH2P · pith_short_16: G6ZZOHGFKH2PDMZC · pith_short_8: G6ZZOHGF

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/G6ZZOHGFKH2PDMZCOG6TSBW3GO \
  | 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: 37b3971cc551f4f1b32271bd3906db338859c740898040f0dfe398bc249e8656

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce8d74ab24b73a05cf0b1b498413c437643a2597a194d3eb7977023ed0cd4f1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-09T08:21:41Z",
    "title_canon_sha256": "9819c56d7d6cc6b81c991245069b44c0bb6ba3898256ab824d80ca3dd5faa2a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11271",
    "kind": "arxiv",
    "version": 1
  }
}