Pith Number

pith:7THZFYPI

pith:2013:7THZFYPIAQMY6KK5XHJSGPON5X

not attested not anchored not stored refs pending

Exponential of a Matrix, a Nonlinear Problem and Quantum Gates

Willi-Hans Steeb, Yorick Hardy

arxiv:1311.2372 v2 · 2013-11-11 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7THZFYPIAQMY6KK5XHJSGPON5X}

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	2026-05-18T02:29:01.760233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fccf92e1e804198f295db9d3233dcdedd94fd5a0a15e62cc84a630958a95fa75

Aliases

arxiv: 1311.2372 · arxiv_version: 1311.2372v2 · doi: 10.48550/arxiv.1311.2372 · pith_short_12: 7THZFYPIAQMY · pith_short_16: 7THZFYPIAQMY6KK5 · pith_short_8: 7THZFYPI

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/7THZFYPIAQMY6KK5XHJSGPON5X \
  | 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: fccf92e1e804198f295db9d3233dcdedd94fd5a0a15e62cc84a630958a95fa75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9af885fbd224a900a52c7710544372fc3a822de150c702bfb0fb5e37a8a4ddf7",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-11-11T08:14:21Z",
    "title_canon_sha256": "2803a15a57e8ae2958ba796da945e913ea18ed17a4c2d4965cddb9a123cbfa20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2372",
    "kind": "arxiv",
    "version": 2
  }
}