Pith Number

pith:AUIVE6E6

pith:2025:AUIVE6E6WDHM6QFSIS5S6LO5ZL

not attested not anchored not stored refs pending

Wavelet based solutions to the Poisson and the Helmholtz equations on the $n$-dimensional unit sphere

Ilona Iglewska-Nowak, Piotr Stefaniak

arxiv:2507.03451 v1 · 2025-07-04 · 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{AUIVE6E6WDHM6QFSIS5S6LO5ZL}

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	2026-07-05T11:31:59.763242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

051152789eb0cecf40b244bb2f2dddcad5325803334719c9ba5b073a6f5f279b

Aliases

arxiv: 2507.03451 · arxiv_version: 2507.03451v1 · doi: 10.48550/arxiv.2507.03451 · pith_short_12: AUIVE6E6WDHM · pith_short_16: AUIVE6E6WDHM6QFS · pith_short_8: AUIVE6E6

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/AUIVE6E6WDHM6QFSIS5S6LO5ZL \
  | 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: 051152789eb0cecf40b244bb2f2dddcad5325803334719c9ba5b073a6f5f279b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1315ec4c7526b0c2cebbfc4120c6864b572de1c22d2755889f9d45c7bbd09207",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-07-04T10:10:54Z",
    "title_canon_sha256": "acc1fb3d20542794daac3a0a9aa46c406492aaa06465d95b029fc00b878b5f8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.03451",
    "kind": "arxiv",
    "version": 1
  }
}