Pith Number

pith:23RKZ7LW

pith:2010:23RKZ7LWPDN4EEFNOSTDCJD5G7

not attested not anchored not stored refs pending

Non-commutative oscillator with Kepler-type dynamical symmetry

J.-P.Ngome, P.A. Horvathy, P.M. Zhang

arxiv:1006.1861 v3 · 2010-06-09 · hep-th · math-ph · math.MP · physics.class-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{23RKZ7LWPDN4EEFNOSTDCJD5G7}

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	2026-05-18T02:33:17.486266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6e2acfd7678dbc210ad74a631247d37ec9234f3db4868048fbb8cbd8f6d5286

Aliases

arxiv: 1006.1861 · arxiv_version: 1006.1861v3 · doi: 10.48550/arxiv.1006.1861 · pith_short_12: 23RKZ7LWPDN4 · pith_short_16: 23RKZ7LWPDN4EEFN · pith_short_8: 23RKZ7LW

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/23RKZ7LWPDN4EEFNOSTDCJD5G7 \
  | 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: d6e2acfd7678dbc210ad74a631247d37ec9234f3db4868048fbb8cbd8f6d5286

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b90944027c5fe5e4b8c5eb601e81fab5b50bffe9ec85298ce3d9c523b13d05be",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-06-09T17:34:55Z",
    "title_canon_sha256": "e18cccdcfcaaf6ceecf88e4c545e12daae1eb2823b0a10498022793ff85af6b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.1861",
    "kind": "arxiv",
    "version": 3
  }
}