Pith Number

pith:MNV4AH2H

pith:2011:MNV4AH2H4BPJLZTGNR55BP3HMX

not attested not anchored not stored refs pending

Fuglede-Putnam type theorems via the Aluthge transform

M. S. Moslehian, S. M. S. Nabavi Sales

arxiv:1112.1302 v1 · 2011-12-06 · math.FA · 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{MNV4AH2H4BPJLZTGNR55BP3HMX}

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	2026-05-18T03:29:27.797752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

636bc01f47e05e95e6666c7bd0bf6765f727069586cd449b87f9810506ac79f4

Aliases

arxiv: 1112.1302 · arxiv_version: 1112.1302v1 · doi: 10.48550/arxiv.1112.1302 · pith_short_12: MNV4AH2H4BPJ · pith_short_16: MNV4AH2H4BPJLZTG · pith_short_8: MNV4AH2H

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/MNV4AH2H4BPJLZTGNR55BP3HMX \
  | 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: 636bc01f47e05e95e6666c7bd0bf6765f727069586cd449b87f9810506ac79f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19a133ff18f1f486ef19692dda0f8081514ab9cc426d174d5eedffcec0e32751",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-12-06T15:06:08Z",
    "title_canon_sha256": "dbebcfb57b976a4c6172c7574e31d923fd62fb3776a7a6a85370d37ea76e7e35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1302",
    "kind": "arxiv",
    "version": 1
  }
}