Pith Number

pith:YSUOKHIH

pith:2025:YSUOKHIH2SPQ7NM3P4FMHAPF3G

not attested not anchored not stored refs pending

Invariant submodules of modular operators and Lomonosov type theorem for Hilbert C*-modules

Kamran Sharifi

arxiv:2506.01161 v1 · 2025-06-01 · 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{YSUOKHIH2SPQ7NM3P4FMHAPF3G}

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	2026-07-05T11:13:47.481029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4a8e51d07d49f0fb59b7f0ac381e5d995223c541758d44f77015be27fb81f3f

Aliases

arxiv: 2506.01161 · arxiv_version: 2506.01161v1 · doi: 10.48550/arxiv.2506.01161 · pith_short_12: YSUOKHIH2SPQ · pith_short_16: YSUOKHIH2SPQ7NM3 · pith_short_8: YSUOKHIH

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/YSUOKHIH2SPQ7NM3P4FMHAPF3G \
  | 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: c4a8e51d07d49f0fb59b7f0ac381e5d995223c541758d44f77015be27fb81f3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c47958cf2b3a77c2f2e8c25345950923b85d2fb7110e95af3a07b4ff2f900cee",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2025-06-01T20:43:31Z",
    "title_canon_sha256": "c1fc093ad134811dc643588ab8ce9776f6365f3a278ec4e80505a0b995bde6b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.01161",
    "kind": "arxiv",
    "version": 1
  }
}