Pith Number

pith:T7HR4OLK

pith:2011:T7HR4OLKHZNXBMO7RM2UUNHVGP

not attested not anchored not stored refs pending

Quantum tops as examples of commuting differential operators

A.B. Shabat, V.E. Adler, V.G. Marikhin

arxiv:1109.6770 v1 · 2011-09-30 · nlin.SI · 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{T7HR4OLKHZNXBMO7RM2UUNHVGP}

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	2026-05-18T02:44:23.768127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fcf1e396a3e5b70b1df8b354a34f533d6e4e204a93038f14376683ee6d40010

Aliases

arxiv: 1109.6770 · arxiv_version: 1109.6770v1 · doi: 10.48550/arxiv.1109.6770 · pith_short_12: T7HR4OLKHZNX · pith_short_16: T7HR4OLKHZNXBMO7 · pith_short_8: T7HR4OLK

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/T7HR4OLKHZNXBMO7RM2UUNHVGP \
  | 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: 9fcf1e396a3e5b70b1df8b354a34f533d6e4e204a93038f14376683ee6d40010

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efef1d9853a69d73995ff4e4bbefb500c080ea47b6adc9c20f85a3afdc3d978f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2011-09-30T09:38:57Z",
    "title_canon_sha256": "849ccac7a85f5ed728ec25b4aa35a3011fa6b6e12a0098a7139debeac6c8070a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6770",
    "kind": "arxiv",
    "version": 1
  }
}