Pith Number

pith:WEWOVYPZ

pith:2015:WEWOVYPZWOHGOQ4R3D7TXXTN5H

not attested not anchored not stored refs pending

Optimal bounds for the volumes of K\"ahler-Einstein Fano manifolds

Kento Fujita

arxiv:1508.04578 v1 · 2015-08-19 · math.AG · 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{WEWOVYPZWOHGOQ4R3D7TXXTN5H}

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	2026-05-18T01:35:02.377054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b12ceae1f9b38e674391d8ff3bde6de9f994d5a3f2aa0477dbc7ce4e323013f0

Aliases

arxiv: 1508.04578 · arxiv_version: 1508.04578v1 · doi: 10.48550/arxiv.1508.04578 · pith_short_12: WEWOVYPZWOHG · pith_short_16: WEWOVYPZWOHGOQ4R · pith_short_8: WEWOVYPZ

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/WEWOVYPZWOHGOQ4R3D7TXXTN5H \
  | 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: b12ceae1f9b38e674391d8ff3bde6de9f994d5a3f2aa0477dbc7ce4e323013f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a4872c5efd5a489b2dd05bb80f1d2677dbb3d37057bc60450f6b057262cf7c4",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-08-19T09:28:17Z",
    "title_canon_sha256": "9dd2e497cea4915cb6bfe6700df975df1439882c3d7a9dd4869af3103cd42e21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04578",
    "kind": "arxiv",
    "version": 1
  }
}