Pith Number

pith:SOJGH2NR

pith:2010:SOJGH2NRVX6YVD5UQCDMECJRWI

not attested not anchored not stored refs pending

The Calabi conjecture and K-stability

Yuji Odaka

arxiv:1010.3597 v3 · 2010-10-18 · 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{SOJGH2NRVX6YVD5UQCDMECJRWI}

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	2026-05-18T04:24:07.163676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

939263e9b1adfd8a8fb48086c20931b226813518e2a00d05c992dd0cedf178bf

Aliases

arxiv: 1010.3597 · arxiv_version: 1010.3597v3 · doi: 10.48550/arxiv.1010.3597 · pith_short_12: SOJGH2NRVX6Y · pith_short_16: SOJGH2NRVX6YVD5U · pith_short_8: SOJGH2NR

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/SOJGH2NRVX6YVD5UQCDMECJRWI \
  | 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: 939263e9b1adfd8a8fb48086c20931b226813518e2a00d05c992dd0cedf178bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f04b47bda97d07305a1ff072e4320f845c4e668e2ab05397fc494d30528a981b",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-10-18T13:41:18Z",
    "title_canon_sha256": "750acb2ebc0bf9a8561d34ca11c688d62a2bba7d9a85af924e8042a9768cef0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3597",
    "kind": "arxiv",
    "version": 3
  }
}