Pith Number

pith:BCPBA5LX

pith:2013:BCPBA5LXH5E24AYGIVUXN6RQAJ

not attested not anchored not stored refs pending

Triply Extended Group of Translations of $\mathbb{R}^{4}$ as Defining Group of NCQM: relation to various gauges

S. Hasibul Hassan Chowdhury, S. Twareque Ali

arxiv:1309.7086 v2 · 2013-09-26 · math-ph · math.MP · math.RT · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BCPBA5LXH5E24AYGIVUXN6RQAJ}

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.

Cited by

1 paper in Pith

Central Characters of $G_{\mathrm{NC}}$, Darboux Normalization, and the Kinematical Inequivalence of NCQM and QM

Receipt and verification

First computed	2026-05-18T02:59:08.561108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

089e1075773f49ae0306456976fa30027eb2c4c690b10254c17be72eb23edd2b

Aliases

arxiv: 1309.7086 · arxiv_version: 1309.7086v2 · doi: 10.48550/arxiv.1309.7086 · pith_short_12: BCPBA5LXH5E2 · pith_short_16: BCPBA5LXH5E24AYG · pith_short_8: BCPBA5LX

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/BCPBA5LXH5E24AYGIVUXN6RQAJ \
  | 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: 089e1075773f49ae0306456976fa30027eb2c4c690b10254c17be72eb23edd2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9e82ba2952f0bd4e8f8f776183428f104c00801fee03d44c2bbe5f9978ab748",
    "cross_cats_sorted": [
      "math.MP",
      "math.RT",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-09-26T22:59:08Z",
    "title_canon_sha256": "27b853e0490e862054b252d6efac32a9b6c13e24f9b13ca195291a894989337a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7086",
    "kind": "arxiv",
    "version": 2
  }
}