Pith Number

pith:5ASHT454

pith:2010:5ASHT454AGL6DRQRHENJZXRV2Y

not attested not anchored not stored refs pending

A complex surface of general type with $p_g=0$, $K^2=2$ and $H_1=\mathbb{Z}/4\mathbb{Z}$

Dongsoo Shin, Heesang Park, Jongil Park

arxiv:1012.5871 v3 · 2010-12-29 · math.AG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5ASHT454AGL6DRQRHENJZXRV2Y}

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	2026-05-18T04:14:46.023627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e82479f3bc0197e1c611391a9cde35d61396ccdd91f3b6aeddf846f4c09cd49b

Aliases

arxiv: 1012.5871 · arxiv_version: 1012.5871v3 · doi: 10.48550/arxiv.1012.5871 · pith_short_12: 5ASHT454AGL6 · pith_short_16: 5ASHT454AGL6DRQR · pith_short_8: 5ASHT454

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/5ASHT454AGL6DRQRHENJZXRV2Y \
  | 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: e82479f3bc0197e1c611391a9cde35d61396ccdd91f3b6aeddf846f4c09cd49b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "702b8e384c10195e03e4049657f2981c5773c7b737815968ecef3b2211e7ee82",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-12-29T04:58:09Z",
    "title_canon_sha256": "608a1c18b358de6ede72fae9673b4ab8965b075e931949ebc29e9da7479f7e94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5871",
    "kind": "arxiv",
    "version": 3
  }
}