Pith Number

pith:EWB2S7D2

pith:2012:EWB2S7D2TI6SEYCEBJ6REU7NYO

not attested not anchored not stored refs pending

Higher-rank Numerical Ranges and Kippenhahn Polynomials

Hwa-Long Gau, Pei Yuan Wu

arxiv:1208.1333 v1 · 2012-08-07 · 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{EWB2S7D2TI6SEYCEBJ6REU7NYO}

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	2026-05-18T03:09:59.907675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2583a97c7a9a3d2260440a7d1253edc3b16fe211076ec59a11010d304ec4a5d0

Aliases

arxiv: 1208.1333 · arxiv_version: 1208.1333v1 · doi: 10.48550/arxiv.1208.1333 · pith_short_12: EWB2S7D2TI6S · pith_short_16: EWB2S7D2TI6SEYCE · pith_short_8: EWB2S7D2

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/EWB2S7D2TI6SEYCEBJ6REU7NYO \
  | 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: 2583a97c7a9a3d2260440a7d1253edc3b16fe211076ec59a11010d304ec4a5d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54887064a83d71ff6a40dd49cd9f20026575c70668f58cb07826390715911772",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-08-07T04:19:02Z",
    "title_canon_sha256": "8498e4d1c8254736dae53a972aeba753d3bc9086929a0fcfe0a8bfebdad2b365"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1333",
    "kind": "arxiv",
    "version": 1
  }
}