Pith Number

pith:OOJHWMLC

pith:2018:OOJHWMLCXPO3UTT4D6QQK5IZLE

not attested not anchored not stored refs pending

$SU(n) \times \mathbb{Z}_2$ in F-theory on K3 surfaces without section as double covers of Halphen surfaces

Yusuke Kimura

arxiv:1806.01727 v2 · 2018-06-05 · hep-th · math.AG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OOJHWMLCXPO3UTT4D6QQK5IZLE}

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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	2026-07-05T01:17:55.095060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73927b3162bbddba4e7c1fa105751959188a25ad8d532f5466607f5fe2ad4abc

Aliases

arxiv: 1806.01727 · arxiv_version: 1806.01727v2 · doi: 10.48550/arxiv.1806.01727 · pith_short_12: OOJHWMLCXPO3 · pith_short_16: OOJHWMLCXPO3UTT4 · pith_short_8: OOJHWMLC

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/OOJHWMLCXPO3UTT4D6QQK5IZLE \
  | 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: 73927b3162bbddba4e7c1fa105751959188a25ad8d532f5466607f5fe2ad4abc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "812682b5474203b4416c3cadd1d2abd5b7ff9c2055399de8dd1d59fa95a91041",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2018-06-05T14:52:52Z",
    "title_canon_sha256": "4991fa3f5f99d3befdee22bbd4635d811483409a1b7144ed848cea3c064d99c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.01727",
    "kind": "arxiv",
    "version": 2
  }
}