Pith Number

pith:HZG6IPDG

pith:2018:HZG6IPDGRGI3ZQ3IWPNVK5FJN3

not attested not anchored not stored refs pending

F-theory models on K3 surfaces with various Mordell-Weil ranks -constructions that use quadratic base change of rational elliptic surfaces

Yusuke Kimura

arxiv:1802.05195 v2 · 2018-02-14 · 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{HZG6IPDGRGI3ZQ3IWPNVK5FJN3}

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	2026-05-18T00:16:21.203026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e4de43c668991bcc368b3db5574a96ed85a5599b8d42fa3543a8e803f6ca6b6

Aliases

arxiv: 1802.05195 · arxiv_version: 1802.05195v2 · doi: 10.48550/arxiv.1802.05195 · pith_short_12: HZG6IPDGRGI3 · pith_short_16: HZG6IPDGRGI3ZQ3I · pith_short_8: HZG6IPDG

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/HZG6IPDGRGI3ZQ3IWPNVK5FJN3 \
  | 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: 3e4de43c668991bcc368b3db5574a96ed85a5599b8d42fa3543a8e803f6ca6b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea2f642be2f443d9423109d2a158610cd3a119e383563b5cd8b5eb7fb91c03af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2018-02-14T16:33:04Z",
    "title_canon_sha256": "c6eaadde69f9e0972289924914e436862b3d53f60e00601a2d697abcc6c95fa2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.05195",
    "kind": "arxiv",
    "version": 2
  }
}