Pith Number

pith:63ABRTIV

pith:2008:63ABRTIVPFUXDAO6GRSBTCGN6Z

not attested not anchored not stored refs pending

GUTs and Exceptional Branes in F-theory - I

Chris Beasley, Cumrun Vafa, Jonathan J. Heckman

arxiv:0802.3391 v2 · 2008-02-25 · 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{63ABRTIVPFUXDAO6GRSBTCGN6Z}

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

4 papers in Pith

Testing F-theory GUTs with the Axiverse

Lectures on Naturalness, String Landscape and Multiverse

Constraining F-theory Model Building with QCD Axions

Receipt and verification

First computed	2026-07-04T17:24:59.134986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6c018cd1579697181de34641988cdf6476dd4f4ac5436133015970bb30d0d9f

Aliases

arxiv: 0802.3391 · arxiv_version: 0802.3391v2 · doi: 10.48550/arxiv.0802.3391 · pith_short_12: 63ABRTIVPFUX · pith_short_16: 63ABRTIVPFUXDAO6 · pith_short_8: 63ABRTIV

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/63ABRTIVPFUXDAO6GRSBTCGN6Z \
  | 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: f6c018cd1579697181de34641988cdf6476dd4f4ac5436133015970bb30d0d9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1faf2d34e5449867dff96dc91e4968b316368c52f66dfb764e122cfa1323ef35",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2008-02-25T16:59:39Z",
    "title_canon_sha256": "9e044efeccb87cfee61396e2bf166593baa48c1f837f4fe274e56a839eef8aeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.3391",
    "kind": "arxiv",
    "version": 2
  }
}