Pith Number

pith:QZ5EA5NZ

pith:2012:QZ5EA5NZH7A2M2F5FPKDKJZIX6

not attested not anchored not stored refs pending

Every quasitoric manifold admits an invariant metric of positive scalar curvature

Michael Wiemeler

arxiv:1202.0146 v2 · 2012-02-01 · math.GT · 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{QZ5EA5NZH7A2M2F5FPKDKJZIX6}

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	2026-05-18T04:02:13.217519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

867a4075b93fc1a668bd2bd4352728bfb3e019b4f95e43a8d51b505220efd547

Aliases

arxiv: 1202.0146 · arxiv_version: 1202.0146v2 · doi: 10.48550/arxiv.1202.0146 · pith_short_12: QZ5EA5NZH7A2 · pith_short_16: QZ5EA5NZH7A2M2F5 · pith_short_8: QZ5EA5NZ

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/QZ5EA5NZH7A2M2F5FPKDKJZIX6 \
  | 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: 867a4075b93fc1a668bd2bd4352728bfb3e019b4f95e43a8d51b505220efd547

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ddd3faaac1668eb5b5b81fee1a1925e67877988edd7dfde870dda33f4744cc9",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-02-01T11:24:22Z",
    "title_canon_sha256": "88ba00b8bfca8d25ab67a6f8843c69e7004759d94f9ee460e07f09c0c56835d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0146",
    "kind": "arxiv",
    "version": 2
  }
}