Pith Number

pith:FJSBQC3W

pith:2013:FJSBQC3WNQTIDXOYNYRRN6PA4A

not attested not anchored not stored refs pending

Affine surfaces with a huge group of automorphisms

Adrien Dubouloz (IMB), J\'er\'emy Blanc

arxiv:1302.3813 v1 · 2013-02-15 · 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{FJSBQC3WNQTIDXOYNYRRN6PA4A}

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	2026-05-18T03:33:35.607799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a64180b766c2681ddd86e2316f9e0e020df3093c6d8956812e9f753f299acf9

Aliases

arxiv: 1302.3813 · arxiv_version: 1302.3813v1 · doi: 10.48550/arxiv.1302.3813 · pith_short_12: FJSBQC3WNQTI · pith_short_16: FJSBQC3WNQTIDXOY · pith_short_8: FJSBQC3W

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/FJSBQC3WNQTIDXOYNYRRN6PA4A \
  | 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: 2a64180b766c2681ddd86e2316f9e0e020df3093c6d8956812e9f753f299acf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4928829a21bba276542c64801b4777b88ed0bcc9f139c14d6dd97bc620ba6804",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-02-15T17:22:23Z",
    "title_canon_sha256": "acef35832605d85f8fc3daaa797bce21f804e045db6e040e2f8fc88d8c54d811"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3813",
    "kind": "arxiv",
    "version": 1
  }
}