Pith Number

pith:ZUZ2NLUC

pith:2018:ZUZ2NLUCZKY6K7ET4N5IU3G4NJ

not attested not anchored not stored refs pending

Jordan Plane and Numerical Range of Operators Involving Two Projections

Jaedeok Kim, Youngmi Kim

arxiv:1811.10518 v1 · 2018-11-26 · 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{ZUZ2NLUCZKY6K7ET4N5IU3G4NJ}

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	2026-05-17T23:59:54.463222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd33a6ae82cab1e57c93e37a8a6cdc6a4402dbc81c0f7ae9cc74c2d2ff557b3e

Aliases

arxiv: 1811.10518 · arxiv_version: 1811.10518v1 · doi: 10.48550/arxiv.1811.10518 · pith_short_12: ZUZ2NLUCZKY6 · pith_short_16: ZUZ2NLUCZKY6K7ET · pith_short_8: ZUZ2NLUC

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/ZUZ2NLUCZKY6K7ET4N5IU3G4NJ \
  | 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: cd33a6ae82cab1e57c93e37a8a6cdc6a4402dbc81c0f7ae9cc74c2d2ff557b3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5599d1ce6e763849ccf081f55d8b0acef8e1ba0afc87dcd0f2c7f548d3142e85",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-11-26T17:21:20Z",
    "title_canon_sha256": "b31581d9cc576c9c28913f552833d120808d7bdb66ec57c80ca854564325c414"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.10518",
    "kind": "arxiv",
    "version": 1
  }
}