Pith Number

pith:66UKSXHW

pith:2010:66UKSXHWNSCCTDYXVNHJVFWDM3

not attested not anchored not stored refs pending

Hypercharge Flux, Exotics, and Anomaly Cancellation in F-theory GUTs

Joseph Marsano

arxiv:1011.2212 v2 · 2010-11-09 · 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{66UKSXHWNSCCTDYXVNHJVFWDM3}

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	2026-05-18T04:26:34.780737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7a8a95cf66c84298f17ab4e9a96c366e749e245c977539c0cacebc8e417fd3a

Aliases

arxiv: 1011.2212 · arxiv_version: 1011.2212v2 · doi: 10.48550/arxiv.1011.2212 · pith_short_12: 66UKSXHWNSCC · pith_short_16: 66UKSXHWNSCCTDYX · pith_short_8: 66UKSXHW

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/66UKSXHWNSCCTDYXVNHJVFWDM3 \
  | 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: f7a8a95cf66c84298f17ab4e9a96c366e749e245c977539c0cacebc8e417fd3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b48cf6896b8451cfdd9e69fc30ab643d50f5c66d976b199c6e06dc159a055a8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-11-09T21:04:00Z",
    "title_canon_sha256": "6095739f683ebc24efa8936ee1f25581b918fd5c7b218f9b56c047f59a26dffb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2212",
    "kind": "arxiv",
    "version": 2
  }
}