Pith Number

pith:3KX4KHUN

pith:2010:3KX4KHUNBVFRRSMGSW6FVC5WPJ

not attested not anchored not stored refs pending

Any component of moduli of polarized hyperkaehler manifolds is dense in its deformation space

Misha Verbitsky, Sasha Anan'in

arxiv:1008.2480 v5 · 2010-08-14 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3KX4KHUNBVFRRSMGSW6FVC5WPJ}

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	2026-05-18T02:59:48.767045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daafc51e8d0d4b18c98695bc5a8bb67a49265afff4390dd20b18ab4fa2515d2a

Aliases

arxiv: 1008.2480 · arxiv_version: 1008.2480v5 · doi: 10.48550/arxiv.1008.2480 · pith_short_12: 3KX4KHUNBVFR · pith_short_16: 3KX4KHUNBVFRRSMG · pith_short_8: 3KX4KHUN

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/3KX4KHUNBVFRRSMGSW6FVC5WPJ \
  | 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: daafc51e8d0d4b18c98695bc5a8bb67a49265afff4390dd20b18ab4fa2515d2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ba5a52ee24352238822bf3a8e736f32f2e8deecbbb7f4047e9e6d8f2c456ea4",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-08-14T21:29:05Z",
    "title_canon_sha256": "c647f77b702bcce611759e6aae32fe8983a44ac84bd6bd0a5020966c104c327f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2480",
    "kind": "arxiv",
    "version": 5
  }
}