Pith Number

pith:RZWE2ABT

pith:2012:RZWE2ABTS4J42CKLI2E5T3ROTM

not attested not anchored not stored refs pending

The two dimensional harmonic oscillator on a noncommutative space with minimal uncertainties

Andreas Fring, Sanjib Dey

arxiv:1207.3303 v1 · 2012-07-13 · hep-th · math-ph · math.MP · quant-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{RZWE2ABTS4J42CKLI2E5T3ROTM}

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	2026-05-18T03:19:23.372976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e6c4d00339713cd094b4689d9ee2e9b206189d2590792a9a7385e633209a6bc

Aliases

arxiv: 1207.3303 · arxiv_version: 1207.3303v1 · doi: 10.48550/arxiv.1207.3303 · pith_short_12: RZWE2ABTS4J4 · pith_short_16: RZWE2ABTS4J42CKL · pith_short_8: RZWE2ABT

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/RZWE2ABTS4J42CKLI2E5T3ROTM \
  | 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: 8e6c4d00339713cd094b4689d9ee2e9b206189d2590792a9a7385e633209a6bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ac70cad3d9af5374df72233605bb92ab0adc465242d16ba01f63b32b9044d16",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-07-13T16:56:06Z",
    "title_canon_sha256": "4e882e70a866646b51b149854e966647371aab271f77ae15c2e891b630f731b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3303",
    "kind": "arxiv",
    "version": 1
  }
}