Pith Number

pith:MSO4NDFC

pith:2009:MSO4NDFCHH6FVAMKK3I6FLPCSZ

not attested not anchored not stored refs pending

A global Torelli theorem for hyperkahler manifolds

Misha Verbitsky

arxiv:0908.4121 v8 · 2009-08-28 · math.AG · math.AT · 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{MSO4NDFCHH6FVAMKK3I6FLPCSZ}

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 LLV Algebra for Primitive Symplectic Varieties with Isolated Singularities

Receipt and verification

First computed	2026-05-18T03:05:26.535931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

649dc68ca239fc5a818a56d1e2ade29667c0ac9cb1144add10fd214a3618d8cf

Aliases

arxiv: 0908.4121 · arxiv_version: 0908.4121v8 · doi: 10.48550/arxiv.0908.4121 · pith_short_12: MSO4NDFCHH6F · pith_short_16: MSO4NDFCHH6FVAMK · pith_short_8: MSO4NDFC

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/MSO4NDFCHH6FVAMKK3I6FLPCSZ \
  | 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: 649dc68ca239fc5a818a56d1e2ade29667c0ac9cb1144add10fd214a3618d8cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3b7b3369150f24eeb5b39f28d66ce492005866f798fbe65dc8355d01de286a4",
    "cross_cats_sorted": [
      "math.AT",
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-08-28T11:09:36Z",
    "title_canon_sha256": "d4dc5d1b10b51d14c9acc4727f249e370879b6182efd9330b6c67fb44ed42cfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.4121",
    "kind": "arxiv",
    "version": 8
  }
}