Pith Number

pith:XVAUXIVR

pith:2019:XVAUXIVR7R3CW7BCJXFOHR3AKL

not attested not anchored not stored refs pending

F-theory models with 3 to 8 U(1) factors on K3 surfaces

Yusuke Kimura

arxiv:1903.03608 v2 · 2019-03-08 · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XVAUXIVR7R3CW7BCJXFOHR3AKL}

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.

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	2026-07-05T02:52:55.663511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd414ba2b1fc762b7c224dcae3c76052dd05352085b20088f3eba46dafbe91bb

Aliases

arxiv: 1903.03608 · arxiv_version: 1903.03608v2 · doi: 10.48550/arxiv.1903.03608 · pith_short_12: XVAUXIVR7R3C · pith_short_16: XVAUXIVR7R3CW7BC · pith_short_8: XVAUXIVR

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/XVAUXIVR7R3CW7BCJXFOHR3AKL \
  | 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: bd414ba2b1fc762b7c224dcae3c76052dd05352085b20088f3eba46dafbe91bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa6aa49e21065d7d9e87564a1df35acf08fba7701b36776fcd7e6b7e3fc04e28",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-03-08T18:59:31Z",
    "title_canon_sha256": "4a9a968ee9188dcc93fa52c7aef4c8ca8c2c6314c91a9e6bd7de59f03359081c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.03608",
    "kind": "arxiv",
    "version": 2
  }
}