Pith Number

pith:VPDXUGTU

pith:2013:VPDXUGTUGAMUQ6QVO6Q3YQPY2R

not attested not anchored not stored refs pending

K3 surfaces with a non-symplectic automorphism and product-quotient surfaces with cyclic groups

Alice Garbagnati, Matteo Penegini

arxiv:1303.1653 v1 · 2013-03-07 · 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{VPDXUGTUGAMUQ6QVO6Q3YQPY2R}

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	2026-05-18T03:31:42.084701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abc77a1a743019487a1577a1bc41f8d46c8bb91f3cd923dc184e92d02c7abe64

Aliases

arxiv: 1303.1653 · arxiv_version: 1303.1653v1 · doi: 10.48550/arxiv.1303.1653 · pith_short_12: VPDXUGTUGAMU · pith_short_16: VPDXUGTUGAMUQ6QV · pith_short_8: VPDXUGTU

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/VPDXUGTUGAMUQ6QVO6Q3YQPY2R \
  | 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: abc77a1a743019487a1577a1bc41f8d46c8bb91f3cd923dc184e92d02c7abe64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df358a6fef35760f7ed545a050ff464e5b91854d55bb5f925a5411d728db3b2e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-03-07T11:53:22Z",
    "title_canon_sha256": "168917903b1ce31f0e222563c2b41ea1456342efc335766d31c9d8cb64787248"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1653",
    "kind": "arxiv",
    "version": 1
  }
}