Pith Number

pith:3A5X7UBZ

pith:2026:3A5X7UBZ5JJPCNQO6YN3VGDQRK

not attested not anchored not stored refs pending

Spatial Analysis on Value-Based Quadtrees of Rasterized Vector Data

David Bermbach, Diana Baumann, Nils Japke, Tim C. Rese

A value-based quadtree on rasterized vector data cuts median point-in-polygon query latency by 90 percent while preserving accuracy.

arxiv:2603.23105 v4 · 2026-03-24 · cs.DB

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3A5X7UBZ5JJPCNQO6YN3VGDQRK}

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.

Claims

C1strongest claim

We achieve a 90% reduction in median Point-in-Polygon query latency, while keeping the accuracy of query responses at equal level.

C2weakest assumption

The data exhibits a unique autocorrelation property that the value-based quadtree can leverage to maintain query accuracy after rasterization of vector data.

C3one line summary

A value-based quadtree index bridges vector and raster spatial data to deliver 90% lower median point-in-polygon query latency at equal accuracy.

Receipt and verification

First computed	2026-05-20T01:05:11.624495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d83b7fd039ea52f1360ef61bba98708a83fa723ca33c834d6c6746eab55ce600

Aliases

arxiv: 2603.23105 · arxiv_version: 2603.23105v4 · doi: 10.48550/arxiv.2603.23105 · pith_short_12: 3A5X7UBZ5JJP · pith_short_16: 3A5X7UBZ5JJPCNQO · pith_short_8: 3A5X7UBZ

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/3A5X7UBZ5JJPCNQO6YN3VGDQRK \
  | 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: d83b7fd039ea52f1360ef61bba98708a83fa723ca33c834d6c6746eab55ce600

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f528666805c9b897dfe2c1d27d9564ba2bd7db98d2815aa55e1382d58ac4ce5c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DB",
    "submitted_at": "2026-03-24T11:54:47Z",
    "title_canon_sha256": "99c337793a10688744d8d8e8b5e1f2dc725533e7a92762a4c76a80b50a055145"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.23105",
    "kind": "arxiv",
    "version": 4
  }
}