Pith Number

pith:K4AE6LDO

pith:2014:K4AE6LDOEZYBLLWVOE2MERB7SR

not attested not anchored not stored refs pending

Boundedness of moduli of varieties of general type

Chenyang Xu, Christopher Hacon, James McKernan

arxiv:1412.1186 v2 · 2014-12-03 · 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{K4AE6LDOEZYBLLWVOE2MERB7SR}

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.

Cited by

1 paper in Pith

The virtual fundamental class for the moduli space of surfaces of general type

Receipt and verification

First computed	2026-05-18T00:34:39.603115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57004f2c6e267015aed57134c2443f946ee4cce58b7f160a20803b7331e3d363

Aliases

arxiv: 1412.1186 · arxiv_version: 1412.1186v2 · doi: 10.48550/arxiv.1412.1186 · pith_short_12: K4AE6LDOEZYB · pith_short_16: K4AE6LDOEZYBLLWV · pith_short_8: K4AE6LDO

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/K4AE6LDOEZYBLLWVOE2MERB7SR \
  | 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: 57004f2c6e267015aed57134c2443f946ee4cce58b7f160a20803b7331e3d363

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b9552c4b195d17ab92e7d66fa80d6262ce315cc619f2e9bdfb58a407fa0132b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-12-03T04:39:52Z",
    "title_canon_sha256": "00aaff1de673491c74e189340204818b2519a8abf35aa7e920e3dbf31d579143"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1186",
    "kind": "arxiv",
    "version": 2
  }
}