Pith Number

pith:U7PG2AYJ

pith:2013:U7PG2AYJ7H3PZBLJH4N2PHDGAT

not attested not anchored not stored refs pending

Harmonic and Dirac oscillators in a (2+1)-dimensional noncommutative space

F. Vega

arxiv:1304.5495 v2 · 2013-04-19 · math-ph · hep-th · 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{U7PG2AYJ7H3PZBLJH4N2PHDGAT}

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	2026-05-18T00:56:52.076755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7de6d0309f9f6fc85693f1ba79c6604ecada8fb748eb6b231e7270432f9f0f6

Aliases

arxiv: 1304.5495 · arxiv_version: 1304.5495v2 · doi: 10.48550/arxiv.1304.5495 · pith_short_12: U7PG2AYJ7H3P · pith_short_16: U7PG2AYJ7H3PZBLJ · pith_short_8: U7PG2AYJ

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/U7PG2AYJ7H3PZBLJH4N2PHDGAT \
  | 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: a7de6d0309f9f6fc85693f1ba79c6604ecada8fb748eb6b231e7270432f9f0f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9da2a2cbb7e96f9732f8011244ea7a7e7418f17114e9556212fa00f75acfcf9e",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-04-19T18:06:31Z",
    "title_canon_sha256": "f8cefe30495fb5f29e6a70ad9df898e6df5c9eef8b5694f524f862a30dfb1dd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5495",
    "kind": "arxiv",
    "version": 2
  }
}