Pith Number

pith:TU7NX75C

pith:2017:TU7NX75C3FCAAEYQXIDYRFQ2DU

not attested not anchored not stored refs pending

A surface with discrete and non-finitely generated automorphism group

Keiji Oguiso, Tien-Cuong Dinh

arxiv:1710.07019 v3 · 2017-10-19 · math.AG · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TU7NX75C3FCAAEYQXIDYRFQ2DU}

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	2026-05-17T23:45:00.054411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d3edbffa2d944001310ba0788961a1d27baa6039d47e5ef3f133069c0bd8ae4

Aliases

arxiv: 1710.07019 · arxiv_version: 1710.07019v3 · doi: 10.48550/arxiv.1710.07019 · pith_short_12: TU7NX75C3FCA · pith_short_16: TU7NX75C3FCAAEYQ · pith_short_8: TU7NX75C

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/TU7NX75C3FCAAEYQXIDYRFQ2DU \
  | 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: 9d3edbffa2d944001310ba0788961a1d27baa6039d47e5ef3f133069c0bd8ae4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3a80315ad840d8131436d910aa8361009494b52500a80c7d5ee3e45996b8fef",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-10-19T07:18:06Z",
    "title_canon_sha256": "e5338cf6ad99f5597c1de251e53a6620b843599e20322fed03621fb50b7b4860"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.07019",
    "kind": "arxiv",
    "version": 3
  }
}