Pith Number

pith:7WCO46IR

pith:2025:7WCO46IRTMIV5NRT7LPN6CN3LX

not attested not anchored not stored refs pending

Fluctuations for diameter and perimeter of convex hulls of multiple random walks

Andrew Wade, Mo Dick Wong, Nikola Sandri\'c, Stjepan \v{S}ebek, Tomislav Kralj, Wojciech Cygan

arxiv:2509.17590 v2 · 2025-09-22 · 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{7WCO46IRTMIV5NRT7LPN6CN3LX}

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	2026-07-23T01:24:17.399561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd84ee79119b115eb633fadedf09bb5dc04d54f323126a77d27be9d818634208

Aliases

arxiv: 2509.17590 · arxiv_version: 2509.17590v2 · doi: 10.48550/arxiv.2509.17590 · pith_short_12: 7WCO46IRTMIV · pith_short_16: 7WCO46IRTMIV5NRT · pith_short_8: 7WCO46IR

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/7WCO46IRTMIV5NRT7LPN6CN3LX \
  | 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: fd84ee79119b115eb633fadedf09bb5dc04d54f323126a77d27be9d818634208

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7290eb88951250b1778cd236967b908c29dafba1d3bc6558ab1d9c2635cb0a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-09-22T11:13:52Z",
    "title_canon_sha256": "e889b1573ff77a3f37fcf6d0aa610bafea7ca8f3a79f01ef68d2f4e870859f79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.17590",
    "kind": "arxiv",
    "version": 2
  }
}