Pith Number

pith:LZ56YF5O

pith:2014:LZ56YF5OY6KGC5PSUGXLD4WRQA

not attested not anchored not stored refs pending

A quantum dynamical approach to matrix Khrushchev's formulas

A. H. Werner, C. Cedzich, F.A. Gr\"unbaum, L. Vel\'azquez, R. F. Werner

arxiv:1405.0985 v2 · 2014-05-05 · math.CA · math-ph · math.FA · 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{LZ56YF5OY6KGC5PSUGXLD4WRQA}

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	2026-05-18T01:01:00.700541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e7bec17aec7946175f2a1aeb1f2d1801523e78a8147a5e513c6641e97bb8508

Aliases

arxiv: 1405.0985 · arxiv_version: 1405.0985v2 · doi: 10.48550/arxiv.1405.0985 · pith_short_12: LZ56YF5OY6KG · pith_short_16: LZ56YF5OY6KGC5PS · pith_short_8: LZ56YF5O

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/LZ56YF5OY6KGC5PSUGXLD4WRQA \
  | 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: 5e7bec17aec7946175f2a1aeb1f2d1801523e78a8147a5e513c6641e97bb8508

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e30c8ef4482eb046a38faa10b3f5bb3af2c7a893edd846728b89ee9e6bcafaa",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-05-05T18:48:49Z",
    "title_canon_sha256": "45fff5f0bc0d5c1b757c31bea650aba8abcc73dea313a3fb213f5d6f9c65dfcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.0985",
    "kind": "arxiv",
    "version": 2
  }
}