Pith Number

pith:JO5DGS6O

pith:2017:JO5DGS6O6C2N45CQ3WWXZ4IGZH

not attested not anchored not stored refs pending

Crouzeix's conjecture holds for tridiagonal $3\times 3$ matrices with elliptic numerical range centered at an eigenvalue

Christer Glader, Mikael Kurula, Mikael Lindstrom

arxiv:1701.01365 v3 · 2017-01-05 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JO5DGS6O6C2N45CQ3WWXZ4IGZH}

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	2026-05-18T00:27:21.854120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bba334bcef0b4de7450ddad7cf106c9f257c3ac55cfdd7e28c7e613e7459696

Aliases

arxiv: 1701.01365 · arxiv_version: 1701.01365v3 · doi: 10.48550/arxiv.1701.01365 · pith_short_12: JO5DGS6O6C2N · pith_short_16: JO5DGS6O6C2N45CQ · pith_short_8: JO5DGS6O

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/JO5DGS6O6C2N45CQ3WWXZ4IGZH \
  | 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: 4bba334bcef0b4de7450ddad7cf106c9f257c3ac55cfdd7e28c7e613e7459696

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b2161f33740420ccbadf8e3b9ac8c8669f5d71d0e4e22e455a4854381afe566",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-01-05T16:09:04Z",
    "title_canon_sha256": "0c5d059fc4a9d09a89c92af65979316e1f3087906649d9eb1f6de9ff5d2af1cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.01365",
    "kind": "arxiv",
    "version": 3
  }
}