Pith Number

pith:44P3TL4W

pith:2018:44P3TL4W242534LMBPXKQ226UU

not attested not anchored not stored refs pending

Convolutions on the Sphere: Commutation with Differential Operators

Hussein Aluie

arxiv:1808.03323 v2 · 2018-08-09 · math-ph · math.MP · physics.flu-dyn · physics.plasm-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{44P3TL4W242534LMBPXKQ226UU}

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	2026-05-18T00:05:55.756691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e71fb9af96d735ddf16c0beea86b5ea53da70fab9c590bd9b815bcb2a9ae987f

Aliases

arxiv: 1808.03323 · arxiv_version: 1808.03323v2 · doi: 10.48550/arxiv.1808.03323 · pith_short_12: 44P3TL4W2425 · pith_short_16: 44P3TL4W242534LM · pith_short_8: 44P3TL4W

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/44P3TL4W242534LMBPXKQ226UU \
  | 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: e71fb9af96d735ddf16c0beea86b5ea53da70fab9c590bd9b815bcb2a9ae987f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00138e6f45337b83cd5a766d6540eac9b68d074161adbcf4f686d3cae164efb1",
    "cross_cats_sorted": [
      "math.MP",
      "physics.flu-dyn",
      "physics.plasm-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-08-09T19:43:01Z",
    "title_canon_sha256": "3ccee18ba06efe9eda1545b0674a254076f62aa90ea1439ff9c79fa6a39c3b7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.03323",
    "kind": "arxiv",
    "version": 2
  }
}