Pith Number

pith:EXQ364GX

pith:2003:EXQ364GXWH5IEBYC3LSD3FYMSR

not attested not anchored not stored refs pending

Two Coupled Harmonic Oscillators on Non-commutative Plane

Ahmed Jellal, El Hassan El Kinani, Michael Schreiber

arxiv:hep-th/0309105 v1 · 2003-09-10 · hep-th · cond-mat.stat-mech · 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{EXQ364GXWH5IEBYC3LSD3FYMSR}

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	2026-05-18T04:37:00.179412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25e1bf70d7b1fa820702dae43d970c94622515a8e999b61f1d805d1a3dc3822a

Aliases

arxiv: hep-th/0309105 · arxiv_version: hep-th/0309105v1 · doi: 10.48550/arxiv.hep-th/0309105 · pith_short_12: EXQ364GXWH5I · pith_short_16: EXQ364GXWH5IEBYC · pith_short_8: EXQ364GX

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/EXQ364GXWH5IEBYC3LSD3FYMSR \
  | 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: 25e1bf70d7b1fa820702dae43d970c94622515a8e999b61f1d805d1a3dc3822a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8568feeb239e3b3b2d429473def6911e4a73d1346b3f60372ef5bd30cc8e22c7",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2003-09-10T15:49:25Z",
    "title_canon_sha256": "1409a17080cca555971a654cbc894467abfecba8ec66a423302f8e8922cd5d88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0309105",
    "kind": "arxiv",
    "version": 1
  }
}