Pith Number

pith:TQGSFXCW

pith:2012:TQGSFXCWUPZHM2XWGL7HR6BIZ4

not attested not anchored not stored refs pending

Scalar curvature and uniruledness on projective manifolds

Bun Wong, Gordon Heier

arxiv:1206.2576 v1 · 2012-06-12 · math.AG · math.CV · 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{TQGSFXCWUPZHM2XWGL7HR6BIZ4}

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	2026-05-18T03:53:44.133554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c0d22dc56a3f2766af632fe78f828cf1bbd22fd14f24dc988194f5053bf5a31

Aliases

arxiv: 1206.2576 · arxiv_version: 1206.2576v1 · doi: 10.48550/arxiv.1206.2576 · pith_short_12: TQGSFXCWUPZH · pith_short_16: TQGSFXCWUPZHM2XW · pith_short_8: TQGSFXCW

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/TQGSFXCWUPZHM2XWGL7HR6BIZ4 \
  | 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: 9c0d22dc56a3f2766af632fe78f828cf1bbd22fd14f24dc988194f5053bf5a31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93bcc5fc9eda57e884060d3d37a8cee20ad98d58a3db0fa9c7e017071049ec7a",
    "cross_cats_sorted": [
      "math.CV",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-06-12T16:03:27Z",
    "title_canon_sha256": "d2240cb6bf9e5c244bf10ba2b110e77eec3e79f52bc7a3bfd984dc1ad88f646e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2576",
    "kind": "arxiv",
    "version": 1
  }
}