Pith Number

pith:E72A2ZXM

pith:2011:E72A2ZXMNAU5MUKIKJ4ZETW42Y

not attested not anchored not stored refs pending

A global Torelli theorem for hyperkaehler manifolds (after Verbitsky)

Daniel Huybrechts

arxiv:1106.5573 v1 · 2011-06-28 · math.AG · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E72A2ZXMNAU5MUKIKJ4ZETW42Y}

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	2026-05-18T03:13:43.780719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27f40d66ec6829d651485279924edcd608756658bad93c264762d54c5d3701c9

Aliases

arxiv: 1106.5573 · arxiv_version: 1106.5573v1 · doi: 10.48550/arxiv.1106.5573 · pith_short_12: E72A2ZXMNAU5 · pith_short_16: E72A2ZXMNAU5MUKI · pith_short_8: E72A2ZXM

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/E72A2ZXMNAU5MUKIKJ4ZETW42Y \
  | 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: 27f40d66ec6829d651485279924edcd608756658bad93c264762d54c5d3701c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bb98149b99d062b7396c8cf774be9b326d56aa03ee15268d63502c058bc454e",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-06-28T06:43:05Z",
    "title_canon_sha256": "360e55203f7ba7151683fcc5a1adfb7c0286016516db39f5c0b9ac96ba1b6b9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5573",
    "kind": "arxiv",
    "version": 1
  }
}