Pith Number

pith:EHRWAQCC

pith:2013:EHRWAQCCUQ4AQ5ZN2UVAXXXJR2

not attested not anchored not stored refs pending

Group theoretical construction of planar Noncommutative Phase Spaces

Ancille Ngendakumana, Joachim Nzotungicimpaye, Leonard Todjihounde

arxiv:1308.3065 v1 · 2013-08-14 · 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{EHRWAQCCUQ4AQ5ZN2UVAXXXJR2}

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	2026-05-18T00:56:51.576421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21e3604042a43808772dd52a0bdee98e9b962b298b5b50d1c43070a7c9261be8

Aliases

arxiv: 1308.3065 · arxiv_version: 1308.3065v1 · doi: 10.48550/arxiv.1308.3065 · pith_short_12: EHRWAQCCUQ4A · pith_short_16: EHRWAQCCUQ4AQ5ZN · pith_short_8: EHRWAQCC

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/EHRWAQCCUQ4AQ5ZN2UVAXXXJR2 \
  | 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: 21e3604042a43808772dd52a0bdee98e9b962b298b5b50d1c43070a7c9261be8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f0baac9202ff988ee5b9d51eb2c757b1ad1c3557f1384520e42c223cecb3f54",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-08-14T08:57:54Z",
    "title_canon_sha256": "fb11c9f00661ed5332435c4635f0e56d46bfb931319cb91f993f2fae0407dfb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3065",
    "kind": "arxiv",
    "version": 1
  }
}