pith. sign in
Pith Number

pith:TUDU5HQL

pith:2015:TUDU5HQLC2W7OSAX7SXM6NHTPL
not attested not anchored not stored refs pending

Convergence of K\"ahler-Ricci flow on lower dimensional algebraic manifolds of general type

Gang Tian, Zhenlei Zhang

arxiv:1505.01038 v1 · 2015-05-05 · math.DG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{TUDU5HQLC2W7OSAX7SXM6NHTPL}

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 2026-05-18T02:16:52.109994Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9d074e9e0b16adf74817fcaecf34f37af9be68d560e7be60178d4ced59a9014d

Aliases

arxiv: 1505.01038 · arxiv_version: 1505.01038v1 · doi: 10.48550/arxiv.1505.01038 · pith_short_12: TUDU5HQLC2W7 · pith_short_16: TUDU5HQLC2W7OSAX · pith_short_8: TUDU5HQL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/TUDU5HQLC2W7OSAX7SXM6NHTPL \
  | 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: 9d074e9e0b16adf74817fcaecf34f37af9be68d560e7be60178d4ced59a9014d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "504a44af8a26451efa8cce2f70533d1f04d00f3b6b9a54377901cdcf9e196f5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-05-05T15:21:30Z",
    "title_canon_sha256": "d790b5215729e72513687e7652c7fc378cc993814709056ddacb055ecf3d9001"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01038",
    "kind": "arxiv",
    "version": 1
  }
}