Pith Number

pith:QENWYN4C

pith:2013:QENWYN4CMIKMY63ASNCSED2B7S

not attested not anchored not stored refs pending

The classification of minimal irregular surfaces of general type with K^2= 2p_g

Ciro Ciliberto, Margarida Mendes Lopes, Rita Pardini

arxiv:1307.6228 v2 · 2013-07-23 · 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{QENWYN4CMIKMY63ASNCSED2B7S}

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	2026-05-18T03:17:35.872807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

811b6c37826214cc7b609345220f41fcb4e39a2dc9e48f0568f6eef24db189f9

Aliases

arxiv: 1307.6228 · arxiv_version: 1307.6228v2 · doi: 10.48550/arxiv.1307.6228 · pith_short_12: QENWYN4CMIKM · pith_short_16: QENWYN4CMIKMY63A · pith_short_8: QENWYN4C

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/QENWYN4CMIKMY63ASNCSED2B7S \
  | 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: 811b6c37826214cc7b609345220f41fcb4e39a2dc9e48f0568f6eef24db189f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e14d9bca431016fdd979061bc9358b2d0ed2dbbeb51f0af69b431c6a43efdb1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-07-23T20:10:03Z",
    "title_canon_sha256": "e9d3eab4912c17e06bd1f4ad7fd197de4eb02a777616bda2acb501477bbd72ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6228",
    "kind": "arxiv",
    "version": 2
  }
}