Pith Number

pith:6PYFTZRI

pith:2025:6PYFTZRII4IKXZAVSAPTUEIB6T

not attested not anchored not stored refs pending

Self-adjoint operators in Z-stable C$^*$-algebras with prescribed spectral data

Andrew S. Toms, Hao Wan

arxiv:2505.22448 v1 · 2025-05-28 · math.OA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6PYFTZRII4IKXZAVSAPTUEIB6T}

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	2026-07-05T11:11:24.227121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3f059e6284710abe415901f3a1101f4f516cefe9479dfa065afed85709ec497

Aliases

arxiv: 2505.22448 · arxiv_version: 2505.22448v1 · doi: 10.48550/arxiv.2505.22448 · pith_short_12: 6PYFTZRII4IK · pith_short_16: 6PYFTZRII4IKXZAV · pith_short_8: 6PYFTZRI

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/6PYFTZRII4IKXZAVSAPTUEIB6T \
  | 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: f3f059e6284710abe415901f3a1101f4f516cefe9479dfa065afed85709ec497

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b53a12373897454e5c5b61bb4f7115c55273a81a351e2a3a6c365e250d07fdcb",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2025-05-28T15:10:20Z",
    "title_canon_sha256": "5bec5fc70d8c3e89ce45bac99efbf08b6c56962e8b139e57c9e785827a9f6558"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.22448",
    "kind": "arxiv",
    "version": 1
  }
}