Pith Number

pith:VVCGAORT

pith:2016:VVCGAORTW2Q3AJEGRFVMWYNZ25

not attested not anchored not stored refs pending

Connected components of the moduli of elliptic K3 surfaces

Ichiro Shimada

arxiv:1610.04706 v2 · 2016-10-15 · 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{VVCGAORTW2Q3AJEGRFVMWYNZ25}

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	2026-05-18T00:37:48.232977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad44603a33b6a1b02486896acb61b9d77865484c799113af8700cb607dccc319

Aliases

arxiv: 1610.04706 · arxiv_version: 1610.04706v2 · doi: 10.48550/arxiv.1610.04706 · pith_short_12: VVCGAORTW2Q3 · pith_short_16: VVCGAORTW2Q3AJEG · pith_short_8: VVCGAORT

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/VVCGAORTW2Q3AJEGRFVMWYNZ25 \
  | 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: ad44603a33b6a1b02486896acb61b9d77865484c799113af8700cb607dccc319

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42f6371d8f7e570edf806722b3d0d31183ccd521dbc630493a12e9af732779ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-10-15T09:39:25Z",
    "title_canon_sha256": "d20e54c7b9fc7bb8469898cc48d3d328d75a0ae44d39cc2c0eadf04ab366512d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04706",
    "kind": "arxiv",
    "version": 2
  }
}