Pith Number

pith:Z6XPGUJT

pith:2006:Z6XPGUJTDSY4SLPJROO42OQOOR

not attested not anchored not stored refs pending

Boundedness of families of canonically polarized manifolds: A higher dimensional analogue of Shafarevich's conjecture

Max Lieblich, Sandor J. Kovacs

arxiv:math/0611672 v3 · 2006-11-22 · 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{Z6XPGUJTDSY4SLPJROO42OQOOR}

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	2026-05-17T23:49:18.322410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfaef351331cb1c92de98b9dcd3a0e7454830415f09d6d949714049b3763c8c0

Aliases

arxiv: math/0611672 · arxiv_version: math/0611672v3 · doi: 10.48550/arxiv.math/0611672 · pith_short_12: Z6XPGUJTDSY4 · pith_short_16: Z6XPGUJTDSY4SLPJ · pith_short_8: Z6XPGUJT

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/Z6XPGUJTDSY4SLPJROO42OQOOR \
  | 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: cfaef351331cb1c92de98b9dcd3a0e7454830415f09d6d949714049b3763c8c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31cc88a8759a1cdfa4e75dee3541719f7d610fc0ae749c8323a6047ba94e09b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2006-11-22T08:55:25Z",
    "title_canon_sha256": "c3f6b5969aa6fa64d0576d89da8d5720e14f4e0a8fe3b0c6b7ec258ca0a3dc0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611672",
    "kind": "arxiv",
    "version": 3
  }
}