Pith Number

pith:TZLKLZTV

pith:2015:TZLKLZTV3KRMD3SKWJHZZBGRCN

not attested not anchored not stored refs pending

Noncommutative spaces and matrix embeddings on flat R^{2n+1}

Joanna L. Karczmarek, Ken Huai-Che Yeh

arxiv:1506.07188 v2 · 2015-06-23 · hep-th · 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{TZLKLZTV3KRMD3SKWJHZZBGRCN}

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	2026-05-18T01:22:39.553155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e56a5e675daa2c1ee4ab24f9c84d11358c6c66edf6bb46d2e84f018dd09a796

Aliases

arxiv: 1506.07188 · arxiv_version: 1506.07188v2 · doi: 10.48550/arxiv.1506.07188 · pith_short_12: TZLKLZTV3KRM · pith_short_16: TZLKLZTV3KRMD3SK · pith_short_8: TZLKLZTV

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/TZLKLZTV3KRMD3SKWJHZZBGRCN \
  | 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: 9e56a5e675daa2c1ee4ab24f9c84d11358c6c66edf6bb46d2e84f018dd09a796

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d134d18a39e01670892990753ff17e20d98e07c6bb60e561e9f408a64144c61",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-06-23T20:07:20Z",
    "title_canon_sha256": "e3fe052d2ad161cd703e009209dfc943d19e99f6c3f978f53a463c8ac1c22c18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07188",
    "kind": "arxiv",
    "version": 2
  }
}