Pith Number

pith:CMRS5PXK

pith:2005:CMRS5PXKPS3446GDSEOLZTYC6W

not attested not anchored not stored refs pending

k-hyponormality of multivariable weighted shifts

Jasang Yoon, Raul E. Curto, Sang Hoon Lee

arxiv:math/0507071 v1 · 2005-07-04 · 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{CMRS5PXKPS3446GDSEOLZTYC6W}

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	2026-07-04T14:49:30.694105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13232ebeea7cb7ce78c3911cbccf02f581344f12cc7668e8bc274a2d757f1905

Aliases

arxiv: math/0507071 · arxiv_version: math/0507071v1 · doi: 10.48550/arxiv.math/0507071 · pith_short_12: CMRS5PXKPS34 · pith_short_16: CMRS5PXKPS3446GD · pith_short_8: CMRS5PXK

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/CMRS5PXKPS3446GDSEOLZTYC6W \
  | 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: 13232ebeea7cb7ce78c3911cbccf02f581344f12cc7668e8bc274a2d757f1905

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c70adafe9ee57718497879eacf9c94bf4eff09633c21cf0e39e651034e952f8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2005-07-04T14:58:12Z",
    "title_canon_sha256": "ea1b28673f9d1022d5b3f9b673c037c2e4da9549b6adae9c3b4db42345495c59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0507071",
    "kind": "arxiv",
    "version": 1
  }
}