Pith Number

pith:VLG2IUUN

pith:2024:VLG2IUUNZOON3KLA5ACJOG5QTD

not attested not anchored not stored refs pending

The abundance and SYZ conjectures in families of hyperkahler manifolds

Andrey Soldatenkov, Misha Verbitsky

arxiv:2409.09142 v3 · 2024-09-13 · 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{VLG2IUUNZOON3KLA5ACJOG5QTD}

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	2026-05-20T14:03:18.003639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aacda4528dcb9cdda960e804971bb098f34f7c18b98aaf5724948f74cb3a26db

Aliases

arxiv: 2409.09142 · arxiv_version: 2409.09142v3 · doi: 10.48550/arxiv.2409.09142 · pith_short_12: VLG2IUUNZOON · pith_short_16: VLG2IUUNZOON3KLA · pith_short_8: VLG2IUUN

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/VLG2IUUNZOON3KLA5ACJOG5QTD \
  | 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: aacda4528dcb9cdda960e804971bb098f34f7c18b98aaf5724948f74cb3a26db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2351520d53110f003f027ca81e91445ff288006d281e54f4a735825a4f2fb8eb",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-09-13T18:53:24Z",
    "title_canon_sha256": "e559803767410cc95d235483973d1ecd15a5a95d053ce0a8601d6e867a2e61cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.09142",
    "kind": "arxiv",
    "version": 3
  }
}