Pith Number

pith:XX62UVSB

pith:2011:XX62UVSBT4X6TQM4N6C2DJS2DF

not attested not anchored not stored refs pending

Lie-algebraic structure of 2D harmonic oscillator with non-separable complex coupling

Asish Ganguly, Suman De

arxiv:1107.3301 v2 · 2011-07-17 · quant-ph · hep-th · 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{XX62UVSBT4X6TQM4N6C2DJS2DF}

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	2026-05-18T04:02:15.032734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdfdaa56419f2fe9c19c6f85a1a65a1955e75845fd1fdbf7879c792160740f05

Aliases

arxiv: 1107.3301 · arxiv_version: 1107.3301v2 · doi: 10.48550/arxiv.1107.3301 · pith_short_12: XX62UVSBT4X6 · pith_short_16: XX62UVSBT4X6TQM4 · pith_short_8: XX62UVSB

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/XX62UVSBT4X6TQM4N6C2DJS2DF \
  | 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: bdfdaa56419f2fe9c19c6f85a1a65a1955e75845fd1fdbf7879c792160740f05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b28dd9bf96a5049df451fcaa659adc33ce65f10d15bdb9badaad01fdeac6e4b",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-07-17T13:18:50Z",
    "title_canon_sha256": "3e64f99a25501045e234305676cbdd2c67530418cfd229e677bc8971523877e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3301",
    "kind": "arxiv",
    "version": 2
  }
}