Pith Number

pith:IU7MVPGR

pith:2015:IU7MVPGR6EGRW63JSYRIXDS24M

not attested not anchored not stored refs pending

Wigner Functions for Noncommutative Quantum Mechanics: a group representation based construction

S. Hasibul Hassan Chowdhury, S. Twareque Ali

arxiv:1506.06341 v1 · 2015-06-21 · math-ph · math.MP · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IU7MVPGR6EGRW63JSYRIXDS24M}

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	2026-05-18T01:25:38.865351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

453ecabcd1f10d1b7b6996228b8e5ae338d955b288f22e999a7e3f8250fdb220

Aliases

arxiv: 1506.06341 · arxiv_version: 1506.06341v1 · doi: 10.48550/arxiv.1506.06341 · pith_short_12: IU7MVPGR6EGR · pith_short_16: IU7MVPGR6EGRW63J · pith_short_8: IU7MVPGR

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/IU7MVPGR6EGRW63JSYRIXDS24M \
  | 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: 453ecabcd1f10d1b7b6996228b8e5ae338d955b288f22e999a7e3f8250fdb220

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ea37638bf1f46e6640090dc9d11f52dcbe7355a77d5f678840ddde5430af5b6",
    "cross_cats_sorted": [
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-06-21T10:08:23Z",
    "title_canon_sha256": "e6004d8327586c851eee3c5e28ef340f1a6dcf50946345e9ffa620bdf165ce4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06341",
    "kind": "arxiv",
    "version": 1
  }
}