Pith Number

pith:NSMZZFXP

pith:2026:NSMZZFXPBJP4S4ETY7NJRY7NV3

not attested not anchored not stored refs pending

Multiplicity Results for the Nonlinear Weighted Laplacian Equation on the Sierpi\'nski Gasket

Krzysztof Jelito, Micha{\l} Be{\l}dzi\'nski

arxiv:2606.12678 v1 · 2026-06-10 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NSMZZFXPBJP4S4ETY7NJRY7NV3}

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	2026-06-12T01:08:44.170619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c999c96ef0a5fc97093c7da98e3edaec9cd6842707c8234e26f1b05562fe1b1

Aliases

arxiv: 2606.12678 · arxiv_version: 2606.12678v1 · doi: 10.48550/arxiv.2606.12678 · pith_short_12: NSMZZFXPBJP4 · pith_short_16: NSMZZFXPBJP4S4ET · pith_short_8: NSMZZFXP

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/NSMZZFXPBJP4S4ETY7NJRY7NV3 \
  | 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: 6c999c96ef0a5fc97093c7da98e3edaec9cd6842707c8234e26f1b05562fe1b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6a93f77f4e7000c304c8a4d6822893024297fcda49d5bf80d708828d33b2d53",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-10T21:05:22Z",
    "title_canon_sha256": "b751cbd5308f12710683d684889609853dd9ab48eadb5bd55ed3d9b7a65baff5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12678",
    "kind": "arxiv",
    "version": 1
  }
}