Pith Number

pith:G4W4GUNJ

pith:2026:G4W4GUNJKKZ3PCVF52KFRNQFIW

not attested not anchored not stored refs pending

Degenerations and Stability of K\"ahler Structures on Calabi--Yau Manifolds

Kefeng Liu, Yang Shen

arxiv:2605.18065 v1 · 2026-05-18 · 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{G4W4GUNJKKZ3PCVF52KFRNQFIW}

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	2026-05-20T00:05:14.170801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

372dc351a952b3b78aa5ee9458b60545af95d65cd426b2b5c6cda88270aee207

Aliases

arxiv: 2605.18065 · arxiv_version: 2605.18065v1 · doi: 10.48550/arxiv.2605.18065 · pith_short_12: G4W4GUNJKKZ3 · pith_short_16: G4W4GUNJKKZ3PCVF · pith_short_8: G4W4GUNJ

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/G4W4GUNJKKZ3PCVF52KFRNQFIW \
  | 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: 372dc351a952b3b78aa5ee9458b60545af95d65cd426b2b5c6cda88270aee207

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93fe8a3c12486c620d4dcb1556a032c1e2dd61db70a386a0ef4552130eb03322",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-05-18T08:49:12Z",
    "title_canon_sha256": "d8bb29d48696f452291b5d5619b45eb75bac797550730d7272fbe8631075ee5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.18065",
    "kind": "arxiv",
    "version": 1
  }
}