Pith Number

pith:M6Y2WKZH

pith:2009:M6Y2WKZHWKR3522M3BNS53W7GM

not attested not anchored not stored refs pending

On a minimum of Yang-Mills functional on quantum Heisenberg manifolds

Hyun Ho Lee

arxiv:0907.0465 v4 · 2009-07-02 · math.OA · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M6Y2WKZHWKR3522M3BNS53W7GM}

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	2026-05-18T04:40:57.391275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67b1ab2b27b2a3beeb4cd85b2eeedf3319c4b338909be6acb167db2391a625c2

Aliases

arxiv: 0907.0465 · arxiv_version: 0907.0465v4 · doi: 10.48550/arxiv.0907.0465 · pith_short_12: M6Y2WKZHWKR3 · pith_short_16: M6Y2WKZHWKR3522M · pith_short_8: M6Y2WKZH

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/M6Y2WKZHWKR3522M3BNS53W7GM \
  | 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: 67b1ab2b27b2a3beeb4cd85b2eeedf3319c4b338909be6acb167db2391a625c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6d778061c01a48768c0c15469fb72bd96a94e13dfe11cbd913fcef474cc712f",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2009-07-02T19:04:09Z",
    "title_canon_sha256": "8cf8a3564bb8b4f2877e9a9627483c7df52da5e13a1f5ee463016d0b93fe5a68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.0465",
    "kind": "arxiv",
    "version": 4
  }
}