Pith Number

pith:SO2WEFMS

pith:2014:SO2WEFMSAPQQLK6QBBHZ4MV3CV

not attested not anchored not stored refs pending

Good Reduction of K3 Surfaces

Christian Liedtke, Yuya Matsumoto

arxiv:1411.4797 v3 · 2014-11-18 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SO2WEFMSAPQQLK6QBBHZ4MV3CV}

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	2026-05-17T23:53:14.078648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93b562159203e105abd0084f9e32bb157568190823894dfce88ce247a32705ee

Aliases

arxiv: 1411.4797 · arxiv_version: 1411.4797v3 · doi: 10.48550/arxiv.1411.4797 · pith_short_12: SO2WEFMSAPQQ · pith_short_16: SO2WEFMSAPQQLK6Q · pith_short_8: SO2WEFMS

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/SO2WEFMSAPQQLK6QBBHZ4MV3CV \
  | 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: 93b562159203e105abd0084f9e32bb157568190823894dfce88ce247a32705ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56be826f68a080f1c13be88aaac09f473493ce7f88a0b4a65b34be97234e8686",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-11-18T10:28:55Z",
    "title_canon_sha256": "745c3b44f5b0ea7c1325b9c4d87e062057d9b74dd8f561f24f79f606f4d07fcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.4797",
    "kind": "arxiv",
    "version": 3
  }
}