Pith Number

pith:JOJGIKU2

pith:2018:JOJGIKU2FGVANDHBQFMAHXQWR2

not attested not anchored not stored refs pending

The generalized numerical range of a set of matrices

Chi-Kwong Li, Nung-sing Sze, Pan-Shun Lau, Yiu-Tung Poon

arxiv:1805.00602 v1 · 2018-05-02 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JOJGIKU2FGVANDHBQFMAHXQWR2}

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	2026-05-18T00:16:58.375385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b92642a9a29aa068ce1815803de168e9e416b8a1b0e4a17c9898700c5446db3

Aliases

arxiv: 1805.00602 · arxiv_version: 1805.00602v1 · doi: 10.48550/arxiv.1805.00602 · pith_short_12: JOJGIKU2FGVA · pith_short_16: JOJGIKU2FGVANDHB · pith_short_8: JOJGIKU2

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/JOJGIKU2FGVANDHBQFMAHXQWR2 \
  | 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: 4b92642a9a29aa068ce1815803de168e9e416b8a1b0e4a17c9898700c5446db3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "648968e53679994829b5d69988de7d841fdd52dac9ac8e2504d3cd67c14c6df2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-05-02T02:16:03Z",
    "title_canon_sha256": "b4bf74b9242092abbf252a02e3326a571c1642e813b65da15347558ca00df609"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.00602",
    "kind": "arxiv",
    "version": 1
  }
}