Pith Number

pith:JZZMSE4L

pith:2025:JZZMSE4L6ZRHDMEBUY6FDX7WZK

not attested not anchored not stored refs pending

Symplectic log Kodaira dimension $-\infty$, affine-ruledness and unicuspidal rational curves

Shengzhen Ning, Tian-Jun Li

arxiv:2501.14668 v2 · 2025-01-24 · math.SG · 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{JZZMSE4L6ZRHDMEBUY6FDX7WZK}

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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

Symplectic log Kodaira dimension $-\infty$, Hirzebruch--Jung strings and weighted projective planes

Receipt and verification

First computed	2026-05-21T02:04:47.441284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e72c9138bf66271b081a63c51dff6cab153928b89fa8c45de9dae2ca8bf93c7

Aliases

arxiv: 2501.14668 · arxiv_version: 2501.14668v2 · doi: 10.48550/arxiv.2501.14668 · pith_short_12: JZZMSE4L6ZRH · pith_short_16: JZZMSE4L6ZRHDMEB · pith_short_8: JZZMSE4L

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/JZZMSE4L6ZRHDMEBUY6FDX7WZK \
  | 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: 4e72c9138bf66271b081a63c51dff6cab153928b89fa8c45de9dae2ca8bf93c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7eafae301585dbaed8d213a077bc2b20093cb13729a639e471f1ae13bf3950f8",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2025-01-24T17:43:27Z",
    "title_canon_sha256": "e3e9d093afa2cfef981dee61651c0ebcbe15d0377624475ee7e73c52d8f6d295"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.14668",
    "kind": "arxiv",
    "version": 2
  }
}