Pith Number

pith:CJQXCLWO

pith:2025:CJQXCLWOI4YGWKELXBXV4HJAF2

not attested not anchored not stored refs pending

Stochastic Barnes-Hut Approximation for Fast Summation on the GPU

Abhishek Madan, David I.W. Levin, Francis Williams, Ken Museth, Nicholas Sharp

arxiv:2506.02219 v1 · 2025-06-02 · cs.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CJQXCLWOI4YGWKELXBXV4HJAF2}

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	2026-07-05T11:14:34.676774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1261712ece47306b288bb86f5e1d202e9a5fb804cd81393fc8f941475dc60142

Aliases

arxiv: 2506.02219 · arxiv_version: 2506.02219v1 · doi: 10.48550/arxiv.2506.02219 · pith_short_12: CJQXCLWOI4YG · pith_short_16: CJQXCLWOI4YGWKEL · pith_short_8: CJQXCLWO

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/CJQXCLWOI4YGWKELXBXV4HJAF2 \
  | 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: 1261712ece47306b288bb86f5e1d202e9a5fb804cd81393fc8f941475dc60142

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4538b404945fb726f7e091566dcc36c277989550cf7bbc974fc30de80f53143a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GR",
    "submitted_at": "2025-06-02T20:02:25Z",
    "title_canon_sha256": "0b873ca8829986c185932d57c8cb3942aa4ca59a59c1cc894334afc86f4d6d2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.02219",
    "kind": "arxiv",
    "version": 1
  }
}