Pith Number

pith:U7TA4Y2I

pith:2019:U7TA4Y2IOYMXDIWLTUA6QQE5EM

not attested not anchored not stored refs pending

K3 surfaces from configurations of six lines in $\mathbb{P}^{2}$ and mirror symmetry II --- $\lambda_{K3}$-functions ---

Bong Lian, Shing-Tung Yau, Shinobu Hosono

arxiv:1903.09373 v1 · 2019-03-22 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U7TA4Y2IOYMXDIWLTUA6QQE5EM}

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	2026-05-17T23:50:39.814288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7e60e6348761971a2cb9d01e8409d231c3f81e61f82b7bc370849a00ac53d91

Aliases

arxiv: 1903.09373 · arxiv_version: 1903.09373v1 · doi: 10.48550/arxiv.1903.09373 · pith_short_12: U7TA4Y2IOYMX · pith_short_16: U7TA4Y2IOYMXDIWL · pith_short_8: U7TA4Y2I

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/U7TA4Y2IOYMXDIWLTUA6QQE5EM \
  | 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: a7e60e6348761971a2cb9d01e8409d231c3f81e61f82b7bc370849a00ac53d91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39002f007ee3604882f9822654166db2875bb40e941ada9d2363a97596d8b2e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-03-22T06:32:18Z",
    "title_canon_sha256": "e8743b651792762169826c73401df7e4b28867f353b3b42f2a88115a475f0812"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.09373",
    "kind": "arxiv",
    "version": 1
  }
}