Pith Number

pith:PXZRXAOB

pith:2016:PXZRXAOBMZ5VYJJZ7T5DKSA2SH

not attested not anchored not stored refs pending

The dimension of automorphism groups of algebraic varieties with pseudo-effective log canonical divisors

Fei Hu

arxiv:1611.00875 v2 · 2016-11-03 · 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{PXZRXAOBMZ5VYJJZ7T5DKSA2SH}

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	2026-05-17T23:41:28.011763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7df31b81c1667b5c2539fcfa35481a91f932b730f9749cd1438ab4dd0f1d4ade

Aliases

arxiv: 1611.00875 · arxiv_version: 1611.00875v2 · doi: 10.48550/arxiv.1611.00875 · pith_short_12: PXZRXAOBMZ5V · pith_short_16: PXZRXAOBMZ5VYJJZ · pith_short_8: PXZRXAOB

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/PXZRXAOBMZ5VYJJZ7T5DKSA2SH \
  | 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: 7df31b81c1667b5c2539fcfa35481a91f932b730f9749cd1438ab4dd0f1d4ade

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "580e503cbf884dd3e1b47bfba57bbdc26a7efa2c07e69dfa6e0b971bf3842ba8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-11-03T03:56:09Z",
    "title_canon_sha256": "dcddde9307cd16d0393ca624144abe942ccbc287f637e4c978e5943865008480"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.00875",
    "kind": "arxiv",
    "version": 2
  }
}