Pith Number

pith:E2KOZYZ7

pith:2011:E2KOZYZ73ASORE3IRGV7KEKUOP

not attested not anchored not stored refs pending

Spectrum of the harmonic oscillator in a general noncommutative phase space

Dine Ousmane Samary, Mahouton Norbert Hounkonnou

arxiv:1108.1585 v1 · 2011-08-07 · 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{E2KOZYZ73ASORE3IRGV7KEKUOP}

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	2026-05-18T04:16:00.691039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2694ece33fd824e8936889abf5115473fb6f806603b70842e2b443fc49b2614f

Aliases

arxiv: 1108.1585 · arxiv_version: 1108.1585v1 · doi: 10.48550/arxiv.1108.1585 · pith_short_12: E2KOZYZ73ASO · pith_short_16: E2KOZYZ73ASORE3I · pith_short_8: E2KOZYZ7

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/E2KOZYZ73ASORE3IRGV7KEKUOP \
  | 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: 2694ece33fd824e8936889abf5115473fb6f806603b70842e2b443fc49b2614f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adcd637a4179cf75abdf12b9adcedf9f324bb3e873f18e21f6771a6a50354db1",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-08-07T23:01:52Z",
    "title_canon_sha256": "c617226466bfbaa13716d1d3fb2553421371852093d7538ae0a3fccff360316c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1585",
    "kind": "arxiv",
    "version": 1
  }
}