Pith Number

pith:MU4JUQEU

pith:2005:MU4JUQEUX2Z6MDIK5RE6W3U6EC

not attested not anchored not stored refs pending

Deformed $C_{\lambda}$-Extended Heisenberg Algebra in Non-commutative Phase-Space

Jamila Douari

arxiv:math-ph/0506013 v1 · 2005-06-04 · 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{MU4JUQEUX2Z6MDIK5RE6W3U6EC}

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	2026-05-18T04:34:46.552929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65389a4094beb3e60d0aec49eb6e9e20b6ee7243d0da038d2dac07f90c2d2e35

Aliases

arxiv: math-ph/0506013 · arxiv_version: math-ph/0506013v1 · doi: 10.48550/arxiv.math-ph/0506013 · pith_short_12: MU4JUQEUX2Z6 · pith_short_16: MU4JUQEUX2Z6MDIK · pith_short_8: MU4JUQEU

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/MU4JUQEUX2Z6MDIK5RE6W3U6EC \
  | 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: 65389a4094beb3e60d0aec49eb6e9e20b6ee7243d0da038d2dac07f90c2d2e35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02ed29b653f8f1c22ba0482b473d2e2432abb9746bd092a68448e444503c5a44",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-06-04T13:57:01Z",
    "title_canon_sha256": "c0ce4920bf7fb74576d5d615740a78e86c47ae119938a9f5178ff47d6906c93f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0506013",
    "kind": "arxiv",
    "version": 1
  }
}