pith. sign in
Pith Number

pith:7PFNN4AG

pith:2016:7PFNN4AGQYQW43S2L7WAIDP6HN
not attested not anchored not stored refs pending

Gauge groups and matter spectra in F-theory compactifications on genus-one fibered Calabi-Yau 4-folds without section - hypersurface and double cover constructions

Yusuke Kimura

arxiv:1607.02978 v7 · 2016-07-11 · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7PFNN4AGQYQW43S2L7WAIDP6HN}

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.
Receipt and verification
First computed 2026-05-17T23:47:06.089890Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

fbcad6f00686216e6e5a5fec040dfe3b4a32268da01bbdac1332c398b533e5bc

Aliases

arxiv: 1607.02978 · arxiv_version: 1607.02978v7 · doi: 10.48550/arxiv.1607.02978 · pith_short_12: 7PFNN4AGQYQW · pith_short_16: 7PFNN4AGQYQW43S2 · pith_short_8: 7PFNN4AG
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7PFNN4AGQYQW43S2L7WAIDP6HN \
  | 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: fbcad6f00686216e6e5a5fec040dfe3b4a32268da01bbdac1332c398b533e5bc
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9867474432f338e423a18866ec92442c355bacdd2b11ab88f7e07b26e55b0723",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-07-11T14:36:01Z",
    "title_canon_sha256": "93c0819601dfe179216f9a0d474923629ff611429f7aab3eb581fc8136e3e743"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.02978",
    "kind": "arxiv",
    "version": 7
  }
}