Pith Number

pith:PUO6T7CA

pith:2011:PUO6T7CAZNW2654F26GXB3C42L

not attested not anchored not stored refs pending

The Akhmedov-Park exotic CP^2 # 2(-CP^2)

Selman Akbulut

arxiv:1107.3073 v2 · 2011-07-14 · math.GT · math.AG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PUO6T7CAZNW2654F26GXB3C42L}

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	2026-05-18T02:29:39.475456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d1de9fc40cb6daf7785d78d70ec5cd2e6017fd0fc9c99a038504b07065352a4

Aliases

arxiv: 1107.3073 · arxiv_version: 1107.3073v2 · doi: 10.48550/arxiv.1107.3073 · pith_short_12: PUO6T7CAZNW2 · pith_short_16: PUO6T7CAZNW2654F · pith_short_8: PUO6T7CA

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/PUO6T7CAZNW2654F26GXB3C42L \
  | 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: 7d1de9fc40cb6daf7785d78d70ec5cd2e6017fd0fc9c99a038504b07065352a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d2b0b4485a6d0a972b76615ee64c9815d67cf6a7f438dedb753369bd4b5dc88",
    "cross_cats_sorted": [
      "math.AG",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-07-14T13:28:11Z",
    "title_canon_sha256": "563a3f048e18837621f72ccc302a1b4e082377c9b4a14c0f0d92e122b7155678"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3073",
    "kind": "arxiv",
    "version": 2
  }
}