Pith Number

pith:3B5KAVOF

pith:2010:3B5KAVOFCHGFYAYYU7ISTWZOYE

not attested not anchored not stored refs pending

Exotic smooth structures on $S^2\times S^2$

Anar Akhmedov, B. Doug Park

arxiv:1005.3346 v5 · 2010-05-19 · math.GT · 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{3B5KAVOFCHGFYAYYU7ISTWZOYE}

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	2026-05-18T02:23:56.585531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d87aa055c511cc5c0318a7d129db2ec137016fa2504211b88905225afd218b72

Aliases

arxiv: 1005.3346 · arxiv_version: 1005.3346v5 · doi: 10.48550/arxiv.1005.3346 · pith_short_12: 3B5KAVOFCHGF · pith_short_16: 3B5KAVOFCHGFYAYY · pith_short_8: 3B5KAVOF

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/3B5KAVOFCHGFYAYYU7ISTWZOYE \
  | 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: d87aa055c511cc5c0318a7d129db2ec137016fa2504211b88905225afd218b72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2a2c9cdf492b04c1136611d78cc6ad762a00a1fc1ef2a7323be9eb9357245c2",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-05-19T00:45:13Z",
    "title_canon_sha256": "74a4d77cf80bcb087dadad9097e2d40bd1ac9d944875f762a8b534a4fc9becfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.3346",
    "kind": "arxiv",
    "version": 5
  }
}