Pith Number

pith:BAJYXY7S

pith:2018:BAJYXY7SJTKOU6GZD345T4NIDG

not attested not anchored not stored refs pending

Automorphisms of pointless surfaces

Constantin Shramov, Vadim Vologodsky

arxiv:1807.06477 v4 · 2018-07-17 · 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{BAJYXY7SJTKOU6GZD345T4NIDG}

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

Birational Geometry of sextic del Pezzo surfaces

Receipt and verification

First computed	2026-07-05T01:27:10.068553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08138be3f24cd4ea78d91ef9d9f1a8199fef07196d52a67495e0249589149aa8

Aliases

arxiv: 1807.06477 · arxiv_version: 1807.06477v4 · doi: 10.48550/arxiv.1807.06477 · pith_short_12: BAJYXY7SJTKO · pith_short_16: BAJYXY7SJTKOU6GZ · pith_short_8: BAJYXY7S

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/BAJYXY7SJTKOU6GZD345T4NIDG \
  | 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: 08138be3f24cd4ea78d91ef9d9f1a8199fef07196d52a67495e0249589149aa8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5546fdf8e7167819c9e098e20dd7993820afa47dde34fefd4284ac6faaad5413",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-07-17T14:47:20Z",
    "title_canon_sha256": "feefefe81c7b9182869c3c1f6bd8d0432a37f435d694983f5acfc0a7f04beffe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.06477",
    "kind": "arxiv",
    "version": 4
  }
}