Pith Number

pith:HAN3SBJA

pith:2015:HAN3SBJAEN6S4SPKGMW6TYL7IE

not attested not anchored not stored refs pending

Froggatt-Nielsen meets Mordell-Weil: A Phenomenological Survey of Global F-theory GUTs with U(1)s

Jin-Mann Wong, Sakura Schafer-Nameki, Sven Krippendorf

arxiv:1507.05961 v1 · 2015-07-21 · hep-th · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HAN3SBJAEN6S4SPKGMW6TYL7IE}

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	2026-05-18T01:36:27.062606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

381bb90520237d2e49ea332de9e17f41017fd36b93b13c26964ca185803ca320

Aliases

arxiv: 1507.05961 · arxiv_version: 1507.05961v1 · doi: 10.48550/arxiv.1507.05961 · pith_short_12: HAN3SBJAEN6S · pith_short_16: HAN3SBJAEN6S4SPK · pith_short_8: HAN3SBJA

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/HAN3SBJAEN6S4SPKGMW6TYL7IE \
  | 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: 381bb90520237d2e49ea332de9e17f41017fd36b93b13c26964ca185803ca320

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f1656caf941634398c0a398954d8aa4f63388453ceab6ebc04536aa7ef78529",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-07-21T20:00:32Z",
    "title_canon_sha256": "659131d18cd4b0a0d60e36249e2436b7217fddb1b5fea43e22f98aa956770502"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05961",
    "kind": "arxiv",
    "version": 1
  }
}