Pith Number

pith:2MIEVJ22

pith:2019:2MIEVJ22XOEHEZ6KUI7JXCFVMF

not attested not anchored not stored refs pending

Higher Rank Numerical Ranges of Jordan-Like Matrices

Martin Argerami, Saleh Mustafa

arxiv:1908.05692 v3 · 2019-08-15 · 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{2MIEVJ22XOEHEZ6KUI7JXCFVMF}

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	2026-07-05T00:15:23.964687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3104aa75abb887267caa23e9b88b56163fcccd27edc3598e3eaba09c1648c6e

Aliases

arxiv: 1908.05692 · arxiv_version: 1908.05692v3 · doi: 10.48550/arxiv.1908.05692 · pith_short_12: 2MIEVJ22XOEH · pith_short_16: 2MIEVJ22XOEHEZ6K · pith_short_8: 2MIEVJ22

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/2MIEVJ22XOEHEZ6KUI7JXCFVMF \
  | 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: d3104aa75abb887267caa23e9b88b56163fcccd27edc3598e3eaba09c1648c6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "226685fda805ddc08d987950dae04026a9b6e449646bd9f4ed4b79bdeb5ec3fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-08-15T18:05:05Z",
    "title_canon_sha256": "16ce34e3d4af8c8ccd7f6da5559031d1fa93fb45a926a8cd3cd2b14f3a1a62c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05692",
    "kind": "arxiv",
    "version": 3
  }
}