Pith Number

pith:K5PI6QMQ

pith:2021:K5PI6QMQ3MKO5MBK5FIJHYNC6P

not attested not anchored not stored refs pending

Smaller Gershgorin disks for multiple eigenvalues for complex matrices

Imre B\'ar\'any, Jozsef Solymosi

arxiv:2109.09000 v2 · 2021-09-18 · math.RA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K5PI6QMQ3MKO5MBK5FIJHYNC6P}

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	2026-07-05T05:12:49.056048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

575e8f4190db14eeb02ae95093e1a2f3f57d253db05d6575b87ab6dcb2f637ee

Aliases

arxiv: 2109.09000 · arxiv_version: 2109.09000v2 · doi: 10.48550/arxiv.2109.09000 · pith_short_12: K5PI6QMQ3MKO · pith_short_16: K5PI6QMQ3MKO5MBK · pith_short_8: K5PI6QMQ

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/K5PI6QMQ3MKO5MBK5FIJHYNC6P \
  | 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: 575e8f4190db14eeb02ae95093e1a2f3f57d253db05d6575b87ab6dcb2f637ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e49e692a74db183c5994591f86ef9c056e0f981e3fbf9dad42f191bb726fbf34",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2021-09-18T19:54:34Z",
    "title_canon_sha256": "ca4cecbeb52fdf97b3a9ddd160f96ee7af66eb5f11cda499e4394eaf9f9356ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.09000",
    "kind": "arxiv",
    "version": 2
  }
}