Pith Number

pith:GZPHWCKX

pith:2009:GZPHWCKX36KNAN2U7X2FKPLTQV

not attested not anchored not stored refs pending

Surfaces of general type with $p_g=1$ and $q=0$

Dongsoo Shin, Heesang Park, Jongil Park

arxiv:0906.5195 v2 · 2009-06-29 · 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{GZPHWCKX36KNAN2U7X2FKPLTQV}

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	2026-05-18T04:31:31.282715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

365e7b0957df94d03754fdf4553d738542742da47b7bc94513173491f7125186

Aliases

arxiv: 0906.5195 · arxiv_version: 0906.5195v2 · doi: 10.48550/arxiv.0906.5195 · pith_short_12: GZPHWCKX36KN · pith_short_16: GZPHWCKX36KNAN2U · pith_short_8: GZPHWCKX

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/GZPHWCKX36KNAN2U7X2FKPLTQV \
  | 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: 365e7b0957df94d03754fdf4553d738542742da47b7bc94513173491f7125186

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8342fdd281d9937f3741e6f04d217036b2a072fc29440530330852d3ea2c81ab",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-06-29T02:08:43Z",
    "title_canon_sha256": "f127d184d09eb1b5a131bc4c270dfefe6b8e43a2abae602b294d1e3eab0be659"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.5195",
    "kind": "arxiv",
    "version": 2
  }
}