Pith Number

pith:UXUA2UK5

pith:2012:UXUA2UK5FWWBOW5PPCH3TOVKIG

not attested not anchored not stored refs pending

Which subnormal Toeplitz operators are either normal or analytic?

In Sung Hwang, Raul Curto, Woo Young Lee

arxiv:1201.5974 v2 · 2012-01-28 · 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{UXUA2UK5FWWBOW5PPCH3TOVKIG}

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	2026-05-18T03:51:12.737726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5e80d515d2dac175baf788fb9baaa419e4b4819f3d238a476ae0e1e0405471c

Aliases

arxiv: 1201.5974 · arxiv_version: 1201.5974v2 · doi: 10.48550/arxiv.1201.5974 · pith_short_12: UXUA2UK5FWWB · pith_short_16: UXUA2UK5FWWBOW5P · pith_short_8: UXUA2UK5

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/UXUA2UK5FWWBOW5PPCH3TOVKIG \
  | 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: a5e80d515d2dac175baf788fb9baaa419e4b4819f3d238a476ae0e1e0405471c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "605865894a15791504ada53fac292e83ad495a3b267b80d04406cc677af21d03",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-01-28T17:20:22Z",
    "title_canon_sha256": "6f2930b7133dfa42b6caed0fbbfbea505350fc320a255215cfed66479809a2fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5974",
    "kind": "arxiv",
    "version": 2
  }
}