Pith Number

pith:NIQ5EYMO

pith:2016:NIQ5EYMOAGM5QJFHBUD6G3AHVV

not attested not anchored not stored refs pending

Gershgorin disks for multiple eigenvalues of non-negative matrices

Imre B\'ar\'any, J\'ozsef Solymosi

arxiv:1609.07439 v1 · 2016-09-23 · math.CO · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NIQ5EYMOAGM5QJFHBUD6G3AHVV}

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	2026-05-18T01:04:00.856748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a21d2618e0199d824a70d07e36c07ad5b2004402d3836d9af1aaae780858fe2

Aliases

arxiv: 1609.07439 · arxiv_version: 1609.07439v1 · doi: 10.48550/arxiv.1609.07439 · pith_short_12: NIQ5EYMOAGM5 · pith_short_16: NIQ5EYMOAGM5QJFH · pith_short_8: NIQ5EYMO

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/NIQ5EYMOAGM5QJFHBUD6G3AHVV \
  | 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: 6a21d2618e0199d824a70d07e36c07ad5b2004402d3836d9af1aaae780858fe2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e823ad677413c6b2f101e2628fa3377fc81e73304bf4ffc12c5b4d9dbe14a7f",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-23T17:29:44Z",
    "title_canon_sha256": "8abd86d2813b90b3c2630b777877c6ee5d9d1a3ff2135e035e0a5ae801c305f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07439",
    "kind": "arxiv",
    "version": 1
  }
}