Pith Number

pith:CYSQUSCT

pith:2016:CYSQUSCTY3UP7Q6C2VDR4CF6NU

not attested not anchored not stored refs pending

Looijenga's weighted projective space, Tate's algorithm and Mordell-Weil Lattice in F-theory and heterotic string theory

Shun'ya Mizoguchi, Taro Tani

arxiv:1607.07280 v2 · 2016-07-25 · 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{CYSQUSCTY3UP7Q6C2VDR4CF6NU}

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	2026-05-18T01:10:19.636275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16250a4853c6e8ffc3c2d5471e08be6d211ad756a4997d147fdc9b24b3c1039f

Aliases

arxiv: 1607.07280 · arxiv_version: 1607.07280v2 · doi: 10.48550/arxiv.1607.07280 · pith_short_12: CYSQUSCTY3UP · pith_short_16: CYSQUSCTY3UP7Q6C · pith_short_8: CYSQUSCT

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/CYSQUSCTY3UP7Q6C2VDR4CF6NU \
  | 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: 16250a4853c6e8ffc3c2d5471e08be6d211ad756a4997d147fdc9b24b3c1039f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "586957e76228a938fff9bd091d6e735a537f5a2c830cbf4ffb84d1919cb189f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-07-25T14:05:26Z",
    "title_canon_sha256": "ff8df21d47e303695403120e3a6d7bed0578296dc35a9dc4b5dfef9442825864"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07280",
    "kind": "arxiv",
    "version": 2
  }
}