Pith Number

pith:JZYAX5XY

pith:1992:JZYAX5XYNRF6LT75LSVE3USGA6

not attested not anchored not stored refs pending

Spectral Invariance of Dense Subalgebras of Operator Algebras

Larry B. Schweitzer

arxiv:funct-an/9211009 v2 · 1992-11-27 · funct-an · 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{JZYAX5XYNRF6LT75LSVE3USGA6}

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	2026-05-18T01:20:54.277639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e700bf6f86c4be5cffd5caa4dd246078b3d813d4cec6aaae94349bd6eed475f

Aliases

arxiv: funct-an/9211009 · arxiv_version: funct-an/9211009v2 · doi: 10.48550/arxiv.funct-an/9211009 · pith_short_12: JZYAX5XYNRF6 · pith_short_16: JZYAX5XYNRF6LT75 · pith_short_8: JZYAX5XY

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/JZYAX5XYNRF6LT75LSVE3USGA6 \
  | 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: 4e700bf6f86c4be5cffd5caa4dd246078b3d813d4cec6aaae94349bd6eed475f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "247182885ecad636b8c655bf7d95695fba00d10d627a50a425fd74130ff21833",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "",
    "primary_cat": "funct-an",
    "submitted_at": "1992-11-27T02:01:13Z",
    "title_canon_sha256": "1cd3e793a539a74b0914a47d859af96924be4c9a7db281fa80cb967250953011"
  },
  "schema_version": "1.0",
  "source": {
    "id": "funct-an/9211009",
    "kind": "arxiv",
    "version": 2
  }
}