Pith Number

pith:DZZIPJTU

pith:2013:DZZIPJTU5FBGSDHW45YDKGV47U

not attested not anchored not stored refs pending

Diagonalizations of two classes of unbounded Hankel operators

D. R. Yafaev

arxiv:1306.3676 v1 · 2013-06-16 · math.FA · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DZZIPJTU5FBGSDHW45YDKGV47U}

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	2026-05-18T03:20:46.817199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e7287a674e942690cf6e770351abcfd1729a6e8c8aa64edcc22433fa29ccc1a

Aliases

arxiv: 1306.3676 · arxiv_version: 1306.3676v1 · doi: 10.48550/arxiv.1306.3676 · pith_short_12: DZZIPJTU5FBG · pith_short_16: DZZIPJTU5FBGSDHW · pith_short_8: DZZIPJTU

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/DZZIPJTU5FBGSDHW45YDKGV47U \
  | 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: 1e7287a674e942690cf6e770351abcfd1729a6e8c8aa64edcc22433fa29ccc1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a993ee6f87526f4ccfebb16ea41da8577af27cc50383112d62a3f37ca7a0c0d",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-06-16T16:28:02Z",
    "title_canon_sha256": "6081938c1576d8367846ee98311f51d47f4037615ca1e838cbb917be447ce06d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3676",
    "kind": "arxiv",
    "version": 1
  }
}