Pith Number

pith:VWVZZX65

pith:2013:VWVZZX65LFNUZNUP6MRWSL5PS2

not attested not anchored not stored refs pending

Birational automorphism groups of projective varieties of Picard number two

De-Qi Zhang

arxiv:1307.5490 v2 · 2013-07-21 · 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{VWVZZX65LFNUZNUP6MRWSL5PS2}

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	2026-05-18T00:12:58.924883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adab9cdfdd595b4cb68ff323692faf968c1f57224d0f4eddb9c4b1c642b835c6

Aliases

arxiv: 1307.5490 · arxiv_version: 1307.5490v2 · doi: 10.48550/arxiv.1307.5490 · pith_short_12: VWVZZX65LFNU · pith_short_16: VWVZZX65LFNUZNUP · pith_short_8: VWVZZX65

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/VWVZZX65LFNUZNUP6MRWSL5PS2 \
  | 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: adab9cdfdd595b4cb68ff323692faf968c1f57224d0f4eddb9c4b1c642b835c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0789ea7add5f3c46b6999c62fc085e833921ae15bad97fe839e2ec6de617c3b9",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-07-21T02:04:18Z",
    "title_canon_sha256": "7cfa0898197da3973902ec988880fa405ab06b59d462c746cd0d2fa8c69d65b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5490",
    "kind": "arxiv",
    "version": 2
  }
}