Pith Number

pith:DLL22QCR

pith:2012:DLL22QCRGXNQNTNGRA6IA7EIXZ

not attested not anchored not stored refs pending

Degeneration of Kahler-Ricci solitons on Fano manifolds

D. H. Phong, Jacob Sturm, Jian Song

arxiv:1211.5849 v1 · 2012-11-26 · math.DG · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DLL22QCRGXNQNTNGRA6IA7EIXZ}

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	2026-05-18T03:40:01.773926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ad7ad405135db06cda6883c807c88be47f2c247ddfaa3356777e199ffd7e0cd

Aliases

arxiv: 1211.5849 · arxiv_version: 1211.5849v1 · doi: 10.48550/arxiv.1211.5849 · pith_short_12: DLL22QCRGXNQ · pith_short_16: DLL22QCRGXNQNTNG · pith_short_8: DLL22QCR

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/DLL22QCRGXNQNTNGRA6IA7EIXZ \
  | 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: 1ad7ad405135db06cda6883c807c88be47f2c247ddfaa3356777e199ffd7e0cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d3400a58af24a00f4afdf34e8caf1e2c2436aed0cb74b8e0a2c7aabcdb4983b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-11-26T03:23:55Z",
    "title_canon_sha256": "1016c9098f82d46d7d36e02a384c7bf457e843319eb6a60013b7dfe20e10bd3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5849",
    "kind": "arxiv",
    "version": 1
  }
}