Pith Number

pith:JEREISE3

pith:2010:JEREISE3QDUM45YOHVFQBAT2ZR

not attested not anchored not stored refs pending

On the birational automorphisms of varieties of general type

Chenyang Xu, Christopher Hacon, James McKernan

arxiv:1011.1464 v2 · 2010-11-05 · 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{JEREISE3QDUM45YOHVFQBAT2ZR}

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	2026-05-18T03:46:15.426001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

492244489b80e8ce770e3d4b00827acc44e71550e5f4033b006618988c403384

Aliases

arxiv: 1011.1464 · arxiv_version: 1011.1464v2 · doi: 10.48550/arxiv.1011.1464 · pith_short_12: JEREISE3QDUM · pith_short_16: JEREISE3QDUM45YO · pith_short_8: JEREISE3

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/JEREISE3QDUM45YOHVFQBAT2ZR \
  | 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: 492244489b80e8ce770e3d4b00827acc44e71550e5f4033b006618988c403384

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d3d74037f334ddfa219917aad3a01cfd7347f49e84b65cb8b2ea92972cba75c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-11-05T17:32:05Z",
    "title_canon_sha256": "259e7c7ff78d316fcf48c6d46a345bef8ba9ac514311cae2c4ae0f3fc655ee45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1464",
    "kind": "arxiv",
    "version": 2
  }
}