Pith Number

pith:UX55NSNN

pith:2023:UX55NSNNJ2BTLMHKJDHBG4WKZD

not attested not anchored not stored refs pending

Grothendieck's period conjecture for Kummer surfaces of self-product CM type

Daiki Kawabe

arxiv:2303.05030 v5 · 2023-03-09 · 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{UX55NSNNJ2BTLMHKJDHBG4WKZD}

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	2026-05-20T00:02:44.880789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5fbd6c9ad4e8335b0ea48ce1372cac8e5f3fa96f5e44222b37c755ef2580a7b

Aliases

arxiv: 2303.05030 · arxiv_version: 2303.05030v5 · doi: 10.48550/arxiv.2303.05030 · pith_short_12: UX55NSNNJ2BT · pith_short_16: UX55NSNNJ2BTLMHK · pith_short_8: UX55NSNN

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/UX55NSNNJ2BTLMHKJDHBG4WKZD \
  | 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: a5fbd6c9ad4e8335b0ea48ce1372cac8e5f3fa96f5e44222b37c755ef2580a7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22a85b726e2290a3973b9cd23880b72a7225567673f6d157fcece1317efc8b5e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-03-09T04:34:25Z",
    "title_canon_sha256": "2de5335ec753356afe28ef5919fbfa78f9fda5a294cf76acf5454f5be52bdd1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.05030",
    "kind": "arxiv",
    "version": 5
  }
}