Pith Number

pith:XRQBOR4J

pith:2006:XRQBOR4J3FGZ5HEIBMEBLOYDWO

not attested not anchored not stored refs pending

Hyponormality and subnormality for powers of commuting pairs of subnormal operators

Jasang Yoon, Raul E. Curto, Sang Hoon Lee

arxiv:math/0610888 v1 · 2006-10-28 · 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{XRQBOR4J3FGZ5HEIBMEBLOYDWO}

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	2026-07-04T15:05:01.976947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc60174789d94d9e9c880b0815bb03b3a8e2a6d537cbabcee028554c8806880a

Aliases

arxiv: math/0610888 · arxiv_version: math/0610888v1 · doi: 10.48550/arxiv.math/0610888 · pith_short_12: XRQBOR4J3FGZ · pith_short_16: XRQBOR4J3FGZ5HEI · pith_short_8: XRQBOR4J

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/XRQBOR4J3FGZ5HEIBMEBLOYDWO \
  | 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: bc60174789d94d9e9c880b0815bb03b3a8e2a6d537cbabcee028554c8806880a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02a2b8a565ef1e6a6aeb7bfd4b2114b0ddac4dae8679135957e7063497084c82",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2006-10-28T23:17:19Z",
    "title_canon_sha256": "ff96c5450e3bacbec9900740f9a2d72b2e5051e32824c0d6b128562eac2762b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610888",
    "kind": "arxiv",
    "version": 1
  }
}