Pith Number

pith:XLPG44RZ

pith:2011:XLPG44RZYOCXBU6IDXFMDRJPSF

not attested not anchored not stored refs pending

Spin Non-commutativity and the Three-Dimensional Harmonic Oscillator

F. Mendez, H. Falomir, J. C. Rojas, J. Gamboa, M. Loewe

arxiv:1111.0511 v2 · 2011-11-02 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XLPG44RZYOCXBU6IDXFMDRJPSF}

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	2026-05-18T03:23:12.720176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bade6e7239c38570d3c81dcac1c52f916c3a50c5f05084c647c62db495a17225

Aliases

arxiv: 1111.0511 · arxiv_version: 1111.0511v2 · doi: 10.48550/arxiv.1111.0511 · pith_short_12: XLPG44RZYOCX · pith_short_16: XLPG44RZYOCXBU6I · pith_short_8: XLPG44RZ

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/XLPG44RZYOCXBU6IDXFMDRJPSF \
  | 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: bade6e7239c38570d3c81dcac1c52f916c3a50c5f05084c647c62db495a17225

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf1e93f0f996da97c9548d6bc5960e785a6dac2c4623c550c931b45900ec32da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-11-02T14:18:25Z",
    "title_canon_sha256": "c6a4c30eef10a96b478b95605c94534992b4947a104c1f1fc1093af5e57d4377"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0511",
    "kind": "arxiv",
    "version": 2
  }
}