Pith Number

pith:ZILJTVAR

pith:2011:ZILJTVARKUWKZM7SHOUHQ2XVHS

not attested not anchored not stored refs pending

A Brunn-Minkowski type inequality for Fano manifolds and the Bando-Mabuchi uniqueness theorem

Bo Berndtsson

arxiv:1103.0923 v3 · 2011-03-04 · math.DG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZILJTVARKUWKZM7SHOUHQ2XVHS}

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	2026-05-18T04:23:20.973767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca1699d411552cacb3f23ba8786af53caaca3b0a282c3c7998ef6fee96530e2d

Aliases

arxiv: 1103.0923 · arxiv_version: 1103.0923v3 · doi: 10.48550/arxiv.1103.0923 · pith_short_12: ZILJTVARKUWK · pith_short_16: ZILJTVARKUWKZM7S · pith_short_8: ZILJTVAR

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/ZILJTVARKUWKZM7SHOUHQ2XVHS \
  | 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: ca1699d411552cacb3f23ba8786af53caaca3b0a282c3c7998ef6fee96530e2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6b5d334165ebee31cec90f1658ecad6fceb053cb937382cc0f0a6d92b2f4aba",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-03-04T15:36:43Z",
    "title_canon_sha256": "d01a56280bf52aa679352837067b02b21560f6a638b1e1781a733cb07c27f43f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0923",
    "kind": "arxiv",
    "version": 3
  }
}