Pith Number

pith:QBGT3DMN

pith:2010:QBGT3DMNPUKQDPFHMRDBVJHDPA

not attested not anchored not stored refs pending

Continuity of Extremal Transitions and Flops for Calabi-Yau Manifolds

Xiaochun Rong, Yuguang Zhang

arxiv:1012.2940 v2 · 2010-12-14 · math.DG · math.AG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QBGT3DMNPUKQDPFHMRDBVJHDPA}

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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.

Cited by

1 paper in Pith

Calabi-Yau threefolds across quadratic singularities

Receipt and verification

First computed	2026-05-18T04:27:17.659957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

804d3d8d8d7d1501bca764461aa4e378115280943eb5edd8dc8138a856a26c06

Aliases

arxiv: 1012.2940 · arxiv_version: 1012.2940v2 · doi: 10.48550/arxiv.1012.2940 · pith_short_12: QBGT3DMNPUKQ · pith_short_16: QBGT3DMNPUKQDPFH · pith_short_8: QBGT3DMN

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/QBGT3DMNPUKQDPFHMRDBVJHDPA \
  | 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: 804d3d8d8d7d1501bca764461aa4e378115280943eb5edd8dc8138a856a26c06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15410b0e5686ab2037c5b6a4e54d8e6a6dcce12e8c4097e9648bd2411c639286",
    "cross_cats_sorted": [
      "math.AG",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-12-14T05:44:27Z",
    "title_canon_sha256": "afaf84174c7960df1d348e7af0752c03e942614662db93c2ba296187a9183b2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2940",
    "kind": "arxiv",
    "version": 2
  }
}