Pith Number

pith:54NTSPV3

pith:2008:54NTSPV3H7VAAOW3U4AONA3MQM

not attested not anchored not stored refs pending

kappa-Deformed Oscillators: Deformed Multiplication Versus Deformed Flip Operator and Multiparticle Clusters

Jerzy Lukierski

arxiv:0812.0547 v4 · 2008-12-02 · math-ph · hep-th · 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{54NTSPV3H7VAAOW3U4AONA3MQM}

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	2026-05-18T02:15:12.201979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef1b393ebb3fea003adba700e6836c83038dc147095990e1ad8cf62e85bd8ea6

Aliases

arxiv: 0812.0547 · arxiv_version: 0812.0547v4 · doi: 10.48550/arxiv.0812.0547 · pith_short_12: 54NTSPV3H7VA · pith_short_16: 54NTSPV3H7VAAOW3 · pith_short_8: 54NTSPV3

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/54NTSPV3H7VAAOW3U4AONA3MQM \
  | 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: ef1b393ebb3fea003adba700e6836c83038dc147095990e1ad8cf62e85bd8ea6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70af38dc9e760bddd1c0edc4faefd1be79db1f311c4f5a99da3a7aa65d7280e2",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-12-02T17:05:37Z",
    "title_canon_sha256": "5018becf56f5d2599c1b49c04c51ca5d86c09e77fce3d92776a41a419ce84ff3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.0547",
    "kind": "arxiv",
    "version": 4
  }
}