Pith Number

pith:AFQN2JZQ

pith:2016:AFQN2JZQ54A67QCJC7YOIOCEEV

not attested not anchored not stored refs pending

The Cost of Seven-brane Gauge Symmetry in a Quadrillion F-theory Compactifications

James Halverson, Jiahua Tian

arxiv:1610.08864 v1 · 2016-10-27 · 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{AFQN2JZQ54A67QCJC7YOIOCEEV}

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	2026-05-18T00:53:07.041895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0160dd2730ef01efc04917f0e43844254882165f222aae4dc8c09bfc9b0f8656

Aliases

arxiv: 1610.08864 · arxiv_version: 1610.08864v1 · doi: 10.48550/arxiv.1610.08864 · pith_short_12: AFQN2JZQ54A6 · pith_short_16: AFQN2JZQ54A67QCJ · pith_short_8: AFQN2JZQ

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/AFQN2JZQ54A67QCJC7YOIOCEEV \
  | 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: 0160dd2730ef01efc04917f0e43844254882165f222aae4dc8c09bfc9b0f8656

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ab3f2991e47dbeeb3c214d1c1172d820d1e37b61008da8aba4a02066e8f663d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-10-27T16:16:46Z",
    "title_canon_sha256": "5adcdc4c1376e92d4b0e787e9670b4471157618ae5a3bac52a7c7825b03fb48b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.08864",
    "kind": "arxiv",
    "version": 1
  }
}