Pith Number

pith:33MZMMWX

pith:2013:33MZMMWX4STGRKJLQWSFXDO6KX

not attested not anchored not stored refs pending

Gauge Coupling Unification in E6 F-Theory GUTs with Matter and Bulk Exotics from Flux Breaking

George K. Leontaris, James C. Callaghan, Stephen F. King

arxiv:1307.4593 v2 · 2013-07-17 · hep-ph · 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{33MZMMWX4STGRKJLQWSFXDO6KX}

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	2026-05-18T03:02:34.804893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ded99632d7e4a668a92b85a45b8dde55eb1b65784d8a18621518cedb233525fc

Aliases

arxiv: 1307.4593 · arxiv_version: 1307.4593v2 · doi: 10.48550/arxiv.1307.4593 · pith_short_12: 33MZMMWX4STG · pith_short_16: 33MZMMWX4STGRKJL · pith_short_8: 33MZMMWX

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/33MZMMWX4STGRKJLQWSFXDO6KX \
  | 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: ded99632d7e4a668a92b85a45b8dde55eb1b65784d8a18621518cedb233525fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "641a0c7e9679bf8e646c4b43261c8a95ffb19691babb13ea16e68f54ceeebba2",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2013-07-17T12:14:54Z",
    "title_canon_sha256": "110a31bc14b1146c4a70f19df3d01123fdd6a761a9d6040fabe3d6c739baa22b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4593",
    "kind": "arxiv",
    "version": 2
  }
}