Pith Number

pith:X2H56W4M

pith:2012:X2H56W4MBLF3UKY4HDECQJULYW

not attested not anchored not stored refs pending

The automorphism group of a variety with torus action of complexity one

Alvaro Liendo, Elaine Herppich, Ivan Arzhantsev, Juergen Hausen

arxiv:1202.4568 v3 · 2012-02-21 · 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{X2H56W4MBLF3UKY4HDECQJULYW}

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	2026-05-18T02:52:32.680678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be8fdf5b8c0acbba2b1c38c828268bc58aa1e81577bc93727b1921c06d44c565

Aliases

arxiv: 1202.4568 · arxiv_version: 1202.4568v3 · doi: 10.48550/arxiv.1202.4568 · pith_short_12: X2H56W4MBLF3 · pith_short_16: X2H56W4MBLF3UKY4 · pith_short_8: X2H56W4M

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/X2H56W4MBLF3UKY4HDECQJULYW \
  | 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: be8fdf5b8c0acbba2b1c38c828268bc58aa1e81577bc93727b1921c06d44c565

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9ee06b2ea9839555a6c2092bbfde3cd1c02c0822699e70831d8b5e09dda430f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-02-21T09:24:25Z",
    "title_canon_sha256": "5fc5c99c107ed86282058851d7a11a41040cb7195692f89f79833711fb1d9372"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4568",
    "kind": "arxiv",
    "version": 3
  }
}