Pith Number

pith:JJ4IMWTA

pith:2018:JJ4IMWTA7J2K3LBL7RHSW4G5JP

not attested not anchored not stored refs pending

Delta invariants of smooth cubic surfaces

Ivan Cheltsov, Kewei Zhang

arxiv:1807.08960 v2 · 2018-07-24 · 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{JJ4IMWTA7J2K3LBL7RHSW4G5JP}

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	2026-05-17T23:40:49.607767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a78865a60fa74adac2bfc4f2b70dd4bfc3b5ea71cc64113684c7229b75d1855

Aliases

arxiv: 1807.08960 · arxiv_version: 1807.08960v2 · doi: 10.48550/arxiv.1807.08960 · pith_short_12: JJ4IMWTA7J2K · pith_short_16: JJ4IMWTA7J2K3LBL · pith_short_8: JJ4IMWTA

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/JJ4IMWTA7J2K3LBL7RHSW4G5JP \
  | 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: 4a78865a60fa74adac2bfc4f2b70dd4bfc3b5ea71cc64113684c7229b75d1855

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed04cc4d56f3cda0de8df3380757f519118e3332a3fdc368dac12463071f3cd0",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-07-24T08:43:23Z",
    "title_canon_sha256": "4e2e5b7e4d990030a2e39c8de3d7a18121638c1cca0ad6ee06460617212d0463"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.08960",
    "kind": "arxiv",
    "version": 2
  }
}