Pith Number

pith:VLG2GP5M

pith:2019:VLG2GP5MJ2ZXOGITPRJ4XTWNR4

not attested not anchored not stored refs pending

Sharp inequalities for the numerical radius of Hilbert space operators and operator matrices

Kallol paul, Pintu Bhunia, Raj Kumar Nayak

arxiv:1908.04499 v2 · 2019-08-13 · math.FA

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\usepackage{pith}
\pithnumber{VLG2GP5MJ2ZXOGITPRJ4XTWNR4}

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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.

Cited by

1 paper in Pith

On inequalities for A-numerical radius of operators

Receipt and verification

First computed	2026-07-05T08:53:59.087165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aacda33fac4eb37719137c53cbcecd8f1ba485ef94a4215e984de0da9181e9dc

Aliases

arxiv: 1908.04499 · arxiv_version: 1908.04499v2 · doi: 10.48550/arxiv.1908.04499 · pith_short_12: VLG2GP5MJ2ZX · pith_short_16: VLG2GP5MJ2ZXOGIT · pith_short_8: VLG2GP5M

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/VLG2GP5MJ2ZXOGITPRJ4XTWNR4 \
  | 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: aacda33fac4eb37719137c53cbcecd8f1ba485ef94a4215e984de0da9181e9dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e577a6e04d1437c53e860205831ab8cfa4a0d574d1f39d520e6273c31a795ea8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-08-13T05:51:32Z",
    "title_canon_sha256": "6ee18ae08355d057d4b46cd9c602bcf39e8dd40dcc147a4f6f3bf0e67569b0fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04499",
    "kind": "arxiv",
    "version": 2
  }
}