Pith Number

pith:7R2MD4XW

pith:2008:7R2MD4XWMEOO5EL4FL7IIFX4MM

not attested not anchored not stored refs pending

Noncommutative Supertori in Two Dimensions

Ee Chang-Young, Hiroaki Nakajima, Hoil Kim

arxiv:0807.0710 v1 · 2008-07-04 · 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{7R2MD4XWMEOO5EL4FL7IIFX4MM}

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	2026-05-18T04:27:45.868223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc74c1f2f6611cee917c2afe8416fc6314ef0d6a5fb5b16d69154b83468bb0d7

Aliases

arxiv: 0807.0710 · arxiv_version: 0807.0710v1 · doi: 10.48550/arxiv.0807.0710 · pith_short_12: 7R2MD4XWMEOO · pith_short_16: 7R2MD4XWMEOO5EL4 · pith_short_8: 7R2MD4XW

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/7R2MD4XWMEOO5EL4FL7IIFX4MM \
  | 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: fc74c1f2f6611cee917c2afe8416fc6314ef0d6a5fb5b16d69154b83468bb0d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb565bd40748d68bdf2ce67119737e4fc7d01ea99069599803e9cc925bec0ddf",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2008-07-04T10:09:26Z",
    "title_canon_sha256": "15ed540e70176279f22a628399cb92e9097373988368150dcf68fbd58012b67f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.0710",
    "kind": "arxiv",
    "version": 1
  }
}