Pith Number

pith:RDVXRDA4

pith:2011:RDVXRDA4C2CRKMZTTOCT3LNPWV

not attested not anchored not stored refs pending

The projective space has maximal volume among all toric K\"ahler-Einstein manifolds

Bo Berndtsson, Robert J. Berman

arxiv:1112.4445 v1 · 2011-12-19 · 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{RDVXRDA4C2CRKMZTTOCT3LNPWV}

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.

Cited by

1 paper in Pith

From K\"ahler Ricci solitons to Calabi-Yau K\"ahler cones

Receipt and verification

First computed	2026-05-18T04:06:06.436611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88eb788c1c16851533339b853dadafb5619699185f17045e5a6c5c1159eda6e9

Aliases

arxiv: 1112.4445 · arxiv_version: 1112.4445v1 · doi: 10.48550/arxiv.1112.4445 · pith_short_12: RDVXRDA4C2CR · pith_short_16: RDVXRDA4C2CRKMZT · pith_short_8: RDVXRDA4

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/RDVXRDA4C2CRKMZTTOCT3LNPWV \
  | 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: 88eb788c1c16851533339b853dadafb5619699185f17045e5a6c5c1159eda6e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99f9c5bc46d9a75c2576a708e971b5d6194dce085629bf3d71b24ed7f9b6e582",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-12-19T19:45:24Z",
    "title_canon_sha256": "35aae5a50525951c050a5a389a9193485f743ccbba80a769743e0afb07fb7a45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4445",
    "kind": "arxiv",
    "version": 1
  }
}