Pith Number

pith:F2IJX2ZJ

pith:2025:F2IJX2ZJWU6IRB5NBNQKLCCEYV

not attested not anchored not stored refs pending

The Wave Equation in the Context of Reduced Groups $C^*$-Algebras

Fan Huang

arxiv:2505.22930 v1 · 2025-05-28 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F2IJX2ZJWU6IRB5NBNQKLCCEYV}

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	2026-07-05T11:11:51.974918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e909beb29b53c8887ad0b60a58844c54a1b5db548b75032f887aacacccc2851

Aliases

arxiv: 2505.22930 · arxiv_version: 2505.22930v1 · doi: 10.48550/arxiv.2505.22930 · pith_short_12: F2IJX2ZJWU6I · pith_short_16: F2IJX2ZJWU6IRB5N · pith_short_8: F2IJX2ZJ

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/F2IJX2ZJWU6IRB5NBNQKLCCEYV \
  | 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: 2e909beb29b53c8887ad0b60a58844c54a1b5db548b75032f887aacacccc2851

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0756e5cea2a2f31a30207f5e15f35dfafef609bd0628ca9cf2c9e56b5aaa2c5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2025-05-28T23:10:50Z",
    "title_canon_sha256": "cc9348236e5690209e62a38edb8f8eeed48ccc5083c82418de98938c3774cfa4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.22930",
    "kind": "arxiv",
    "version": 1
  }
}