Pith Number

pith:2PDS5SHQ

pith:2009:2PDS5SHQWHX25K4CSIJIC6CBZ5

not attested not anchored not stored refs pending

Morita Equivalence of Noncommutative Supertori

Ee Chang-Young, Hiroaki Nakajima, Hoil Kim

arxiv:0909.5613 v4 · 2009-09-30 · hep-th · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2PDS5SHQWHX25K4CSIJIC6CBZ5}

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	2026-05-18T04:32:00.767918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3c72ec8f0b1efaeab829212817841cf65dbc4a112d8750f47bd4c3fa64cacbc

Aliases

arxiv: 0909.5613 · arxiv_version: 0909.5613v4 · doi: 10.48550/arxiv.0909.5613 · pith_short_12: 2PDS5SHQWHX2 · pith_short_16: 2PDS5SHQWHX25K4C · pith_short_8: 2PDS5SHQ

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/2PDS5SHQWHX25K4CSIJIC6CBZ5 \
  | 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: d3c72ec8f0b1efaeab829212817841cf65dbc4a112d8750f47bd4c3fa64cacbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "250402c6fb9c465b5e2e7d71b641294e332eda33b94530fd1325d332bb77720a",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-09-30T14:03:18Z",
    "title_canon_sha256": "f1c93b19225b37fe8da3b1a6499de2e92a8338618a816f9cb0d8ad4cab101dce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.5613",
    "kind": "arxiv",
    "version": 4
  }
}