Pith Number

pith:25TG4HL3

pith:2025:25TG4HL3PYO3UTWHRE45WQHNVI

not attested not anchored not stored refs pending

Compact moduli of elliptic surfaces with a multiple fiber

Donggun Lee, Yongnam Lee

arxiv:2509.07467 v1 · 2025-09-09 · 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{25TG4HL3PYO3UTWHRE45WQHNVI}

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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

Rational homology disk degenerations of elliptic surfaces

Receipt and verification

First computed	2026-07-05T12:07:21.890206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7666e1d7b7e1dba4ec78939db40edaa153dc0c44af0e03ede15e78c6c5bd151

Aliases

arxiv: 2509.07467 · arxiv_version: 2509.07467v1 · doi: 10.48550/arxiv.2509.07467 · pith_short_12: 25TG4HL3PYO3 · pith_short_16: 25TG4HL3PYO3UTWH · pith_short_8: 25TG4HL3

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/25TG4HL3PYO3UTWHRE45WQHNVI \
  | 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: d7666e1d7b7e1dba4ec78939db40edaa153dc0c44af0e03ede15e78c6c5bd151

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fd816a4b34c318f2382f8595021e3609de78beb919e457787f15ad2d87c5fb7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-09-09T07:45:12Z",
    "title_canon_sha256": "63c2e535b1ede22f92a32b0b351d12c4f6bf8258727317443bbab01e48462921"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.07467",
    "kind": "arxiv",
    "version": 1
  }
}