pith. sign in
Pith Number

pith:YSGB7OJA

pith:2010:YSGB7OJAYUFZ62C5L352HNCZCH
not attested not anchored not stored refs pending

Extension of the Morris-Shore transformation to multilevel ladders

A. A. Rangelov, B. W. Shore, N. V. Vitanov

arxiv:1010.1235 v1 · 2010-10-06 · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YSGB7OJAYUFZ62C5L352HNCZCH}

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 2026-05-18T04:39:49.567207Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c48c1fb920c50b9f685d5efba3b45911c807be8fe5e17338a84092d86248a4c2

Aliases

arxiv: 1010.1235 · arxiv_version: 1010.1235v1 · doi: 10.48550/arxiv.1010.1235 · pith_short_12: YSGB7OJAYUFZ · pith_short_16: YSGB7OJAYUFZ62C5 · pith_short_8: YSGB7OJA
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YSGB7OJAYUFZ62C5L352HNCZCH \
  | 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: c48c1fb920c50b9f685d5efba3b45911c807be8fe5e17338a84092d86248a4c2
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a2330e6f6c29bc3c1fffe530ec83935a3ad127426f6bcfbbc2301ac4950fe6e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-10-06T19:15:18Z",
    "title_canon_sha256": "785b4bfb762331fd15e7c02f5309832d1952619144d99baa91e3c3ecf1a3f553"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1235",
    "kind": "arxiv",
    "version": 1
  }
}