Pith Number

pith:W36CSXAK

pith:2009:W36CSXAKUZRA2DN3XW3TIXSR7V

not attested not anchored not stored refs pending

Global F-theory GUTs

Benjamin Jurke, Ralph Blumenhagen, Thomas W. Grimm, Timo Weigand

arxiv:0908.1784 v3 · 2009-08-13 · 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{W36CSXAKUZRA2DN3XW3TIXSR7V}

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

1 paper in Pith

Heterotic-$\mathbf{F}$-theory Duality with Wilson Line Symmetry-breaking

Receipt and verification

First computed	2026-07-04T17:19:59.552876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6fc295c0aa6620d0dbbbdb7345e51fd6fa1f69c583c11d81316cdc7da7f2cab

Aliases

arxiv: 0908.1784 · arxiv_version: 0908.1784v3 · doi: 10.48550/arxiv.0908.1784 · pith_short_12: W36CSXAKUZRA · pith_short_16: W36CSXAKUZRA2DN3 · pith_short_8: W36CSXAK

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/W36CSXAKUZRA2DN3XW3TIXSR7V \
  | 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: b6fc295c0aa6620d0dbbbdb7345e51fd6fa1f69c583c11d81316cdc7da7f2cab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45b6112d098228ecc05281337c682aff530e08b000b02f12f469f0068eda33d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-08-13T18:46:47Z",
    "title_canon_sha256": "2a8f1f08d9d939f19f11807e7233b87b7ee8b8c63b0460c0aa6a57c653d13d9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.1784",
    "kind": "arxiv",
    "version": 3
  }
}