Pith Number

pith:J67C23YX

pith:2019:J67C23YXF4PB5JZ453VAY6WUXF

not attested not anchored not stored refs pending

On the geometry of singular K3 surfaces with discriminant 3, 4 and 7

Taiki Takatsu

arxiv:1903.03054 v1 · 2019-03-07 · 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{J67C23YXF4PB5JZ453VAY6WUXF}

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	2026-05-17T23:51:50.287882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fbe2d6f172f1e1ea73ceeea0c7ad4b9496887610339882e5ba988dbc2655efd

Aliases

arxiv: 1903.03054 · arxiv_version: 1903.03054v1 · doi: 10.48550/arxiv.1903.03054 · pith_short_12: J67C23YXF4PB · pith_short_16: J67C23YXF4PB5JZ4 · pith_short_8: J67C23YX

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/J67C23YXF4PB5JZ453VAY6WUXF \
  | 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: 4fbe2d6f172f1e1ea73ceeea0c7ad4b9496887610339882e5ba988dbc2655efd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0964e7cb907cfa7562146f3caae16c8313402a5a383d156f994a8d7dfcfd0ff8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-03-07T17:23:53Z",
    "title_canon_sha256": "83d79d854e6bca541bfde5f320422869e04462c4b4950680d2c8819dddcfeee7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.03054",
    "kind": "arxiv",
    "version": 1
  }
}