Pith Number

pith:B7GCDBXO

pith:2011:B7GCDBXOLODYQBUDP3JDZBVYFN

not attested not anchored not stored refs pending

Calabi's inhomogeneous Einstein manifold is globally symplectomorphic to R^{2n}

Andrea Loi, Michela Zedda

arxiv:1105.5519 v1 · 2011-05-27 · math.DG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B7GCDBXOLODYQBUDP3JDZBVYFN}

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	2026-05-18T04:21:11.456098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fcc2186ee5b878806837ed23c86b82b4be7cb0bde31fecebf861146d10c2f0a

Aliases

arxiv: 1105.5519 · arxiv_version: 1105.5519v1 · doi: 10.48550/arxiv.1105.5519 · pith_short_12: B7GCDBXOLODY · pith_short_16: B7GCDBXOLODYQBUD · pith_short_8: B7GCDBXO

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/B7GCDBXOLODYQBUDP3JDZBVYFN \
  | 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: 0fcc2186ee5b878806837ed23c86b82b4be7cb0bde31fecebf861146d10c2f0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df6abbccd62f44ca953e4c52d2f68ff821682dc0a1ebf22a11bf0c639ea27e98",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-05-27T10:35:47Z",
    "title_canon_sha256": "bfc73c455cc4844d1127b65786a3a59a61573df2e4b5931d91a193e84e2dc42e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5519",
    "kind": "arxiv",
    "version": 1
  }
}