Pith Number

pith:HV7OPFQX

pith:2019:HV7OPFQXIGHGICNGRPCFQTYVSU

not attested not anchored not stored refs pending

A surface in odd characteristic with discrete and non-finitely generated automorphism group

Keiji Oguiso

arxiv:1901.01351 v3 · 2019-01-05 · 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{HV7OPFQXIGHGICNGRPCFQTYVSU}

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

On automorphisms and the cone conjecture for Enriques surfaces in odd characteristic

Receipt and verification

First computed	2026-07-05T01:28:59.281458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d7ee79617418e6409a68bc4584f15950526a84359815e6ef439c99be90e6c2d

Aliases

arxiv: 1901.01351 · arxiv_version: 1901.01351v3 · doi: 10.48550/arxiv.1901.01351 · pith_short_12: HV7OPFQXIGHG · pith_short_16: HV7OPFQXIGHGICNG · pith_short_8: HV7OPFQX

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/HV7OPFQXIGHGICNGRPCFQTYVSU \
  | 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: 3d7ee79617418e6409a68bc4584f15950526a84359815e6ef439c99be90e6c2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f52e82f282b5d223d3189845fbcb01062bf573f407c7c5b99edb51745d799b8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-01-05T01:48:29Z",
    "title_canon_sha256": "b53f399bbc186eab327f7fc090c4d3a46c57bafb9ee51e20ecc2ca844e854ca6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.01351",
    "kind": "arxiv",
    "version": 3
  }
}