Pith Number

pith:4PPMWIM2

pith:2015:4PPMWIM2V7ZT3EIPLR5BQFC2VD

not attested not anchored not stored refs pending

The Calabi-Yau Theorem and K\"ahler currents

Valentino Tosatti

arxiv:1505.02124 v3 · 2015-05-08 · 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{4PPMWIM2V7ZT3EIPLR5BQFC2VD}

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	2026-05-18T01:08:32.592472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3decb219aaff33d910f5c7a18145aa8f2bd14bf0861163a6641f0aa8dca88ff

Aliases

arxiv: 1505.02124 · arxiv_version: 1505.02124v3 · doi: 10.48550/arxiv.1505.02124 · pith_short_12: 4PPMWIM2V7ZT · pith_short_16: 4PPMWIM2V7ZT3EIP · pith_short_8: 4PPMWIM2

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/4PPMWIM2V7ZT3EIPLR5BQFC2VD \
  | 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: e3decb219aaff33d910f5c7a18145aa8f2bd14bf0861163a6641f0aa8dca88ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eaed4e308751e19c962aaa69483d910c823922098480c0a3018b353ef5f98e85",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-05-08T18:32:54Z",
    "title_canon_sha256": "c7d352658db1928acc9c4060f3f17cccc0351f2f8f68fd306f7f2f3c213b9a82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02124",
    "kind": "arxiv",
    "version": 3
  }
}