Pith Number

pith:JRGCTIWG

pith:2013:JRGCTIWGYFRFJM7BQUJXZUI6YZ

not attested not anchored not stored refs pending

Determinantal and eigenvalue inequalities for matrices with numerical ranges in a sector

Chi-Kwong Li, Nung-sing Sze

arxiv:1306.4916 v3 · 2013-06-20 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JRGCTIWGYFRFJM7BQUJXZUI6YZ}

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	2026-05-18T03:15:33.872182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c4c29a2c6c16254b3e185137cd11ec6423b7a63c94d32e3d4a639f43921224e

Aliases

arxiv: 1306.4916 · arxiv_version: 1306.4916v3 · doi: 10.48550/arxiv.1306.4916 · pith_short_12: JRGCTIWGYFRF · pith_short_16: JRGCTIWGYFRFJM7B · pith_short_8: JRGCTIWG

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/JRGCTIWGYFRFJM7BQUJXZUI6YZ \
  | 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: 4c4c29a2c6c16254b3e185137cd11ec6423b7a63c94d32e3d4a639f43921224e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "024ea7abb9d608db9b49c59250e2dc612477dedcc5cc4826f1fdf7971ea0e28a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-06-20T15:41:00Z",
    "title_canon_sha256": "2922187ead355e8bd7c223c9e5375ae75a6a953a3b13156e832f60ca6bf670a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4916",
    "kind": "arxiv",
    "version": 3
  }
}