Pith Number

pith:GUCZIH35

pith:2019:GUCZIH35ZBV4CMVQ3JWMPERND3

not attested not anchored not stored refs pending

A two-dimensional family of surfaces of general type with $p_g=0$ and $K^2=7$

Yifan Chen, YongJoo Shin

arxiv:1912.10387 v1 · 2019-12-22 · 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{GUCZIH35ZBV4CMVQ3JWMPERND3}

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	2026-07-05T00:27:49.479292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3505941f7dc86bc132b0da6cc7922d1ed441d64744598a484a576679a747107d

Aliases

arxiv: 1912.10387 · arxiv_version: 1912.10387v1 · doi: 10.48550/arxiv.1912.10387 · pith_short_12: GUCZIH35ZBV4 · pith_short_16: GUCZIH35ZBV4CMVQ · pith_short_8: GUCZIH35

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/GUCZIH35ZBV4CMVQ3JWMPERND3 \
  | 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: 3505941f7dc86bc132b0da6cc7922d1ed441d64744598a484a576679a747107d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e4ac9623d2f36bec6f1dec44959d10e7448509cce753bbd606215166cf61051",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-12-22T05:01:56Z",
    "title_canon_sha256": "7015caef92d57f1ad3115a5cf2e5020d6085775c856e2f21e82bf698b37b59f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.10387",
    "kind": "arxiv",
    "version": 1
  }
}