Pith Number

pith:WPVWKJBG

pith:2012:WPVWKJBGTBLI3POPLAQJDNFETC

not attested not anchored not stored refs pending

On the moduli of Kahler-Einstein Fano manifolds

Yuji Odaka

arxiv:1211.4833 v4 · 2012-11-20 · 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{WPVWKJBGTBLI3POPLAQJDNFETC}

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	2026-05-18T02:48:47.209635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3eb65242698568dbdcf582091b4a498afff1eb3e547a15f59fc75d0be3644fc

Aliases

arxiv: 1211.4833 · arxiv_version: 1211.4833v4 · doi: 10.48550/arxiv.1211.4833 · pith_short_12: WPVWKJBGTBLI · pith_short_16: WPVWKJBGTBLI3POP · pith_short_8: WPVWKJBG

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/WPVWKJBGTBLI3POPLAQJDNFETC \
  | 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: b3eb65242698568dbdcf582091b4a498afff1eb3e547a15f59fc75d0be3644fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6040cefe6f7ad2d9418f3e76c921a1390f63891ab4aa102c00167d0a7485eedc",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-11-20T19:10:09Z",
    "title_canon_sha256": "0a3dbd39af2a034f4aaf816937705f4e56172acc86697931f6f34751efcd2d7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4833",
    "kind": "arxiv",
    "version": 4
  }
}