Pith Number

pith:23PE4Y6N

pith:2018:23PE4Y6NSHXX7R23YBMWI7Q2NT

not attested not anchored not stored refs pending

K3 surfaces without section as double covers of Halphen surfaces, and F-theory compactifications

Yusuke Kimura

arxiv:1801.06525 v2 · 2018-01-19 · hep-th · 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{23PE4Y6NSHXX7R23YBMWI7Q2NT}

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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

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups

Receipt and verification

First computed	2026-05-18T00:17:53.630922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6de4e63cd91ef7fc75bc059647e1a6cf3058c0ff611375b854ee1e078e23b19

Aliases

arxiv: 1801.06525 · arxiv_version: 1801.06525v2 · doi: 10.48550/arxiv.1801.06525 · pith_short_12: 23PE4Y6NSHXX · pith_short_16: 23PE4Y6NSHXX7R23 · pith_short_8: 23PE4Y6N

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/23PE4Y6NSHXX7R23YBMWI7Q2NT \
  | 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: d6de4e63cd91ef7fc75bc059647e1a6cf3058c0ff611375b854ee1e078e23b19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b3b80eed0864f6ecd88b021bcd199f3bccaee25b1aa047c5ba76c0ffaccd7e0",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2018-01-19T18:37:26Z",
    "title_canon_sha256": "bc3340fd8a9ac56fe0bb59090d5cc1232b53ca1463bb621175736ebb8b7a510d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.06525",
    "kind": "arxiv",
    "version": 2
  }
}