Pith Number

pith:YBK33DYT

pith:2013:YBK33DYTU7GBLDK2NZDXBG5ZLD

not attested not anchored not stored refs pending

Exceptional Points, Nonnormal Matrices, Hierarchy of Spin Matrices and an Eigenvalue Problem

Willi-Hans Steeb, Yorick Hardy

arxiv:1301.2900 v4 · 2013-01-14 · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YBK33DYTU7GBLDK2NZDXBG5ZLD}

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	2026-05-18T02:29:01.847385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c055bd8f13a7cc158d5a6e47709bb958fea947a745d062a94383b4d6c1a93c2b

Aliases

arxiv: 1301.2900 · arxiv_version: 1301.2900v4 · doi: 10.48550/arxiv.1301.2900 · pith_short_12: YBK33DYTU7GB · pith_short_16: YBK33DYTU7GBLDK2 · pith_short_8: YBK33DYT

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/YBK33DYTU7GBLDK2NZDXBG5ZLD \
  | 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: c055bd8f13a7cc158d5a6e47709bb958fea947a745d062a94383b4d6c1a93c2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7de4cda0f37a469f5a10f359a47c84fc2ae74ba25626fd0e909d4975ebff0d3b",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-01-14T09:56:14Z",
    "title_canon_sha256": "8f9a94422497baa6bf016bc482cadb2a6c35ce81987a8ab65e8ca46e548c9590"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2900",
    "kind": "arxiv",
    "version": 4
  }
}