Pith Number

pith:TWX5J6MS

pith:2012:TWX5J6MSJI5C4ZF3PY4F5FRTUQ

not attested not anchored not stored refs pending

Smooth quartic K3 surfaces and Cremona transformations, II

Keiji Oguiso

arxiv:1206.5049 v1 · 2012-06-22 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TWX5J6MSJI5C4ZF3PY4F5FRTUQ}

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	2026-05-18T03:52:52.515574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dafd4f9924a3a2e64bb7e385e9633a40fda18e79b960bf40a3c700944449554

Aliases

arxiv: 1206.5049 · arxiv_version: 1206.5049v1 · doi: 10.48550/arxiv.1206.5049 · pith_short_12: TWX5J6MSJI5C · pith_short_16: TWX5J6MSJI5C4ZF3 · pith_short_8: TWX5J6MS

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/TWX5J6MSJI5C4ZF3PY4F5FRTUQ \
  | 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: 9dafd4f9924a3a2e64bb7e385e9633a40fda18e79b960bf40a3c700944449554

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "decfd4852b55e1a7da7de11720f1c45a41a86e1cef567ffbb656148f00a7c107",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-06-22T04:11:47Z",
    "title_canon_sha256": "c22e6906124bd5c1f2f66c858b9241511dabedd82b20c50afcd75791efb92dc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5049",
    "kind": "arxiv",
    "version": 1
  }
}