Pith Number

pith:BHKNADI5

pith:2012:BHKNADI543VA4AV4QSUNZXNH62

not attested not anchored not stored refs pending

Explicit Formulae for Noncommutative Deformations of CP^N and CH^N

Akifumi Sako, Hiroshi Umetsu, Toshiya Suzuki

arxiv:1204.4030 v2 · 2012-04-18 · math-ph · hep-th · 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{BHKNADI543VA4AV4QSUNZXNH62}

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	2026-05-18T01:57:49.437582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09d4d00d1de6ea0e02bc84a8dcdda7f68efaf8c94866383cef958fa177c70497

Aliases

arxiv: 1204.4030 · arxiv_version: 1204.4030v2 · doi: 10.48550/arxiv.1204.4030 · pith_short_12: BHKNADI543VA · pith_short_16: BHKNADI543VA4AV4 · pith_short_8: BHKNADI5

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/BHKNADI543VA4AV4QSUNZXNH62 \
  | 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: 09d4d00d1de6ea0e02bc84a8dcdda7f68efaf8c94866383cef958fa177c70497

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "763d064c292a37ee025df77e2c7bed20c142283b4cf044b3b468e6140f6c57ad",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-04-18T10:06:36Z",
    "title_canon_sha256": "e9146f090819ff2d1d20e509084459e007be554921ff6ec1c648d56d2e2fd257"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4030",
    "kind": "arxiv",
    "version": 2
  }
}