Pith Number

pith:WMTKX772

pith:2026:WMTKX772AFAOZD5BHZENJMQYQV

not attested not anchored not stored refs pending

Wigner function shapelets: Symplectic representation of astronomical images

Shun Arai

arxiv:2602.01141 v2 · 2026-02-01 · astro-ph.CO · astro-ph.GA · quant-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{WMTKX772AFAOZD5BHZENJMQYQV}

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	2026-07-08T01:18:25.003365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b326abfffa0140ec8fa13e48d4b21885793ddd9b13ed37e433f1413cd7b31aed

Aliases

arxiv: 2602.01141 · arxiv_version: 2602.01141v2 · doi: 10.48550/arxiv.2602.01141 · pith_short_12: WMTKX772AFAO · pith_short_16: WMTKX772AFAOZD5B · pith_short_8: WMTKX772

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/WMTKX772AFAOZD5BHZENJMQYQV \
  | 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: b326abfffa0140ec8fa13e48d4b21885793ddd9b13ed37e433f1413cd7b31aed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e346506856e4b2e0d13299b4c94c13c49b487cef2027825030724d1915b30b2b",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-02-01T10:29:54Z",
    "title_canon_sha256": "89b78d90a8f9fd7a32c2c5d9c09d97e6c6fc04bdcd3356b9ff29c8c3119bb791"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.01141",
    "kind": "arxiv",
    "version": 2
  }
}