Pith Number

pith:J7MPYMPD

pith:2019:J7MPYMPDNZQYG4IDOAD5EISTIJ

not attested not anchored not stored refs pending

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

Yusuke Kimura

arxiv:1908.06621 v3 · 2019-08-19 · 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{J7MPYMPDNZQYG4IDOAD5EISTIJ}

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	2026-07-05T00:50:43.475820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fd8fc31e36e618371037007d2225342459b8f2ec93385741d7d0bd07dcf1df7

Aliases

arxiv: 1908.06621 · arxiv_version: 1908.06621v3 · doi: 10.48550/arxiv.1908.06621 · pith_short_12: J7MPYMPDNZQY · pith_short_16: J7MPYMPDNZQYG4ID · pith_short_8: J7MPYMPD

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/J7MPYMPDNZQYG4IDOAD5EISTIJ \
  | 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: 4fd8fc31e36e618371037007d2225342459b8f2ec93385741d7d0bd07dcf1df7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ecacf5563f9a3a81a34cbf206a44a9b1188f71082a6b45fbd381272411ba76e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-08-19T07:26:54Z",
    "title_canon_sha256": "20b9d70445c207346de1c6fd79ed356ebdbb319175af609881bdebfeb5d86487"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06621",
    "kind": "arxiv",
    "version": 3
  }
}