Pith Number

pith:OMYL6V44

pith:2011:OMYL6V44H2JQG5VZUUNBHXWZJL

not attested not anchored not stored refs pending

Convergence of K\"ahler-Ricci flow on Fano manifolds, II

Gang Tian, Xiaohua Zhu

arxiv:1102.4798 v1 · 2011-02-23 · 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{OMYL6V44H2JQG5VZUUNBHXWZJL}

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	2026-05-18T04:28:07.323512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7330bf579c3e930376b9a51a13ded94ac8604e4877c954d786add08027773c6f

Aliases

arxiv: 1102.4798 · arxiv_version: 1102.4798v1 · doi: 10.48550/arxiv.1102.4798 · pith_short_12: OMYL6V44H2JQ · pith_short_16: OMYL6V44H2JQG5VZ · pith_short_8: OMYL6V44

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/OMYL6V44H2JQG5VZUUNBHXWZJL \
  | 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: 7330bf579c3e930376b9a51a13ded94ac8604e4877c954d786add08027773c6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba9a66cea554565d4b5329ab5876faafc34c3a21f4e34ae27181d09518d7ed8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-02-23T17:07:24Z",
    "title_canon_sha256": "bb31633fc4feb80edbe44ea632d7ca6c9c62b4a6f20d33b5af7a3d241e07753a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4798",
    "kind": "arxiv",
    "version": 1
  }
}