Pith Number

pith:AAQORQ2R

pith:2026:AAQORQ2ROLYNOCTAXFDDFRGXA4

not attested not anchored not stored refs pending

Walk-on-Cubes Monte Carlo Simulation for nonisotropic fractional Laplace, Helmholtz, and Yukawa equations

Antti Rasila, Tommi Sottinen, Yaotong Yuan

arxiv:2607.10528 v1 · 2026-07-12 · math.NA · cs.NA · math.AP · 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{AAQORQ2ROLYNOCTAXFDDFRGXA4}

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	2026-07-14T01:21:19.745494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0020e8c35172f0d70a60b94632c4d70715014eb62858c1c788614271e3ea5d00

Aliases

arxiv: 2607.10528 · arxiv_version: 2607.10528v1 · doi: 10.48550/arxiv.2607.10528 · pith_short_12: AAQORQ2ROLYN · pith_short_16: AAQORQ2ROLYNOCTA · pith_short_8: AAQORQ2R

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/AAQORQ2ROLYNOCTAXFDDFRGXA4 \
  | 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: 0020e8c35172f0d70a60b94632c4d70715014eb62858c1c788614271e3ea5d00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e56d2c24078c46b885eafccaaba06dbac419dfd2b8e08c3095a9e48b2afd3ed",
    "cross_cats_sorted": [
      "cs.NA",
      "math.AP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-07-12T01:34:42Z",
    "title_canon_sha256": "58401e2fecca93560e9de94f32c53e8509bd52886594562f6bb963586e9ec5bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10528",
    "kind": "arxiv",
    "version": 1
  }
}