Pith Number

pith:3NP5K2NS

pith:2017:3NP5K2NSZ6PQEL3GZA6A43GO2Z

not attested not anchored not stored refs pending

Numerical radius inequalities involving commutators of $G_{1}$ operators

Fuad Kittaneh, Mojtaba Bakherad

arxiv:1709.01850 v1 · 2017-09-05 · 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{3NP5K2NSZ6PQEL3GZA6A43GO2Z}

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	2026-05-18T00:35:54.207952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db5fd569b2cf9f022f66c83c0e6cced6496a2e0921c69c1fc39d2c8582173b47

Aliases

arxiv: 1709.01850 · arxiv_version: 1709.01850v1 · doi: 10.48550/arxiv.1709.01850 · pith_short_12: 3NP5K2NSZ6PQ · pith_short_16: 3NP5K2NSZ6PQEL3G · pith_short_8: 3NP5K2NS

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/3NP5K2NSZ6PQEL3GZA6A43GO2Z \
  | 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: db5fd569b2cf9f022f66c83c0e6cced6496a2e0921c69c1fc39d2c8582173b47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf48a5ea5780ad21c043724d3f8db2c52472649945944db32fde707bb33ca7d8",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-09-05T13:24:58Z",
    "title_canon_sha256": "15ba8ed60e1ecb53304bdae8e68bfbb126919dbf2d712fee0d08881844a0f8e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.01850",
    "kind": "arxiv",
    "version": 1
  }
}