Pith Number

pith:DUS2OA2W

pith:2025:DUS2OA2W3F65OC4NZYL5VYUIEG

not attested not anchored not stored refs pending

High-intensity Voronoi percolation on manifolds

Barbara Dembin, Franco Severo, Ritvik Ramanan Radhakrishnan, Tillmann B\"uhler

arxiv:2503.21737 v2 · 2025-03-27 · 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{DUS2OA2W3F65OC4NZYL5VYUIEG}

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	2026-07-05T11:49:08.741550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d25a70356d97dd70b8dce17dae28821a4c92d80feb42eb51406bf29062717db

Aliases

arxiv: 2503.21737 · arxiv_version: 2503.21737v2 · doi: 10.48550/arxiv.2503.21737 · pith_short_12: DUS2OA2W3F65 · pith_short_16: DUS2OA2W3F65OC4N · pith_short_8: DUS2OA2W

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/DUS2OA2W3F65OC4NZYL5VYUIEG \
  | 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: 1d25a70356d97dd70b8dce17dae28821a4c92d80feb42eb51406bf29062717db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6d6832bc87f18ec7e2d9d024e5cef64c19240ce11b2b42e28c94c6c834490c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-03-27T17:49:50Z",
    "title_canon_sha256": "878c25424ae3f0e8fc6cd0ee0c4e131b3f42071471a717fcf8e88c9739c4d6f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.21737",
    "kind": "arxiv",
    "version": 2
  }
}