Pith. sign in
Pith Number

pith:KZI3OLTZ

pith:2023:KZI3OLTZGKLZR5GJU6PRQXHOLE
not attested not anchored not stored refs pending

The polarized degree of irrationality of $K3$ surfaces

Federico Moretti

arxiv:2303.07289 v4 · 2023-03-13 · math.AG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{KZI3OLTZGKLZR5GJU6PRQXHOLE}

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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-05T11:15:35.936901Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

5651b72e79329798f4c9a79f185cee59006c7068c97a84e8259981b3bdbbdba9

Aliases

arxiv: 2303.07289 · arxiv_version: 2303.07289v4 · doi: 10.48550/arxiv.2303.07289 · pith_short_12: KZI3OLTZGKLZ · pith_short_16: KZI3OLTZGKLZR5GJ · pith_short_8: KZI3OLTZ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/KZI3OLTZGKLZR5GJU6PRQXHOLE \
  | 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: 5651b72e79329798f4c9a79f185cee59006c7068c97a84e8259981b3bdbbdba9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c2cfafcd9983f61560c57aabf9a240838df821978ad385d2e8604b970e98c872",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-03-13T17:09:09Z",
    "title_canon_sha256": "a9fb3b191595c7f9ad93a75a1446e4452c0cba5307e62c2b149fe8d347d6d029"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.07289",
    "kind": "arxiv",
    "version": 4
  }
}