Pith Number

pith:ZH7BZWSH

pith:2017:ZH7BZWSHMWHJRM4GQHUOWQ6XQQ

not attested not anchored not stored refs pending

The normalized numerical range and the Davis-Wielandt shell

Brian Lins, Ilya M. Spitkovsky, Siyu Zhong

arxiv:1712.01070 v1 · 2017-12-04 · math.FA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZH7BZWSHMWHJRM4GQHUOWQ6XQQ}

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	2026-05-18T00:28:59.608072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9fe1cda47658e98b38681e8eb43d784316ecffbfd35dbb9ceb12d0d9fd9fd58

Aliases

arxiv: 1712.01070 · arxiv_version: 1712.01070v1 · doi: 10.48550/arxiv.1712.01070 · pith_short_12: ZH7BZWSHMWHJ · pith_short_16: ZH7BZWSHMWHJRM4G · pith_short_8: ZH7BZWSH

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/ZH7BZWSHMWHJRM4GQHUOWQ6XQQ \
  | 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: c9fe1cda47658e98b38681e8eb43d784316ecffbfd35dbb9ceb12d0d9fd9fd58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03bd71896a515435200955020bf7d332b207b9b02dcd4679b0eea0bfe830f1f1",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-12-04T13:42:10Z",
    "title_canon_sha256": "9fc0b9bbae6672b1907989c100cdcff03305c81f26cfa9fb63501fa51896ef9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.01070",
    "kind": "arxiv",
    "version": 1
  }
}