Pith Number

pith:6QVX5EPG

pith:2011:6QVX5EPGAEOCKKF4IYYDEVQG5M

not attested not anchored not stored refs pending

When is hyponormality for 2-variable weighted shifts invariant under powers?

Jasang Yoon, Raul Curto

arxiv:1104.3604 v1 · 2011-04-18 · 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{6QVX5EPGAEOCKKF4IYYDEVQG5M}

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	2026-05-18T04:23:55.926884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f42b7e91e6011c2528bc4630325606eb1596fbeb5a924f68aeec923f495e04a9

Aliases

arxiv: 1104.3604 · arxiv_version: 1104.3604v1 · doi: 10.48550/arxiv.1104.3604 · pith_short_12: 6QVX5EPGAEOC · pith_short_16: 6QVX5EPGAEOCKKF4 · pith_short_8: 6QVX5EPG

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/6QVX5EPGAEOCKKF4IYYDEVQG5M \
  | 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: f42b7e91e6011c2528bc4630325606eb1596fbeb5a924f68aeec923f495e04a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f33d651fef51e553086cee33ffd83fc484bc0611361519883b72ea07550cf5e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-04-18T23:46:24Z",
    "title_canon_sha256": "329e3a8e6080660d6236a9aead2da5ac9a4e7439da819be95acdc2088c24b215"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3604",
    "kind": "arxiv",
    "version": 1
  }
}