Pith Number

pith:2MLZQG4B

pith:2017:2MLZQG4BZY7HKIEHIOPEOW222E

not attested not anchored not stored refs pending

On the projectivity of the moduli space of stable surfaces in characteristic p>5

Zsolt Patakfalvi

arxiv:1710.03818 v3 · 2017-10-10 · 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{2MLZQG4BZY7HKIEHIOPEOW222E}

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.

Cited by

1 paper in Pith

Pathological MMP singularities as $\alpha_p$-quotients

Receipt and verification

First computed	2026-05-18T00:32:57.150783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d317981b81ce3e752087439e475b5ad12043210b71ae206f3bceeca30b4c2a3c

Aliases

arxiv: 1710.03818 · arxiv_version: 1710.03818v3 · doi: 10.48550/arxiv.1710.03818 · pith_short_12: 2MLZQG4BZY7H · pith_short_16: 2MLZQG4BZY7HKIEH · pith_short_8: 2MLZQG4B

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/2MLZQG4BZY7HKIEHIOPEOW222E \
  | 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: d317981b81ce3e752087439e475b5ad12043210b71ae206f3bceeca30b4c2a3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58b20c320fee6f29d7538e8e435bed8c654e6b3ded920550217bf72f01f81514",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-10-10T20:56:25Z",
    "title_canon_sha256": "d859ad24982b1a99e20dee1e52de7ace825bf913d1ac087ea8e93620cc12ff98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.03818",
    "kind": "arxiv",
    "version": 3
  }
}