Pith Number

pith:EWFD5OQP

pith:2025:EWFD5OQP4XVUZGIV6IP3ZVCBNY

not attested not anchored not stored refs pending

General Numerical Radius for Products of Sectorial Matrices

Mohammad Alakhrass

arxiv:2506.02042 v1 · 2025-05-31 · 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{EWFD5OQP4XVUZGIV6IP3ZVCBNY}

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	2026-07-05T11:14:31.308006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

258a3eba0fe5eb4c9915f21fbcd4416e00de27baf155e6686910cf50ae2ebfb4

Aliases

arxiv: 2506.02042 · arxiv_version: 2506.02042v1 · doi: 10.48550/arxiv.2506.02042 · pith_short_12: EWFD5OQP4XVU · pith_short_16: EWFD5OQP4XVUZGIV · pith_short_8: EWFD5OQP

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/EWFD5OQP4XVUZGIV6IP3ZVCBNY \
  | 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: 258a3eba0fe5eb4c9915f21fbcd4416e00de27baf155e6686910cf50ae2ebfb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef9b31af17c2833b7fb02c12dada0e1b2e6b3e1f154c0d3f9b208042e9d4e721",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-05-31T12:32:45Z",
    "title_canon_sha256": "fa18004d9b8b27eea17d64dc556a27731d4a7e106fd59f831cd5c100db8c9237"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.02042",
    "kind": "arxiv",
    "version": 1
  }
}