Pith Number

pith:2PKSZSNF

pith:2025:2PKSZSNFP6B4F6RYY4VGTICEMC

not attested not anchored not stored refs pending

Kitaoka's Conjecture and sums of squares

Jakub Krasensky, Kristyna Kramer, Vitezslav Kala

arxiv:2510.19545 v2 · 2025-10-22 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2PKSZSNFP6B4F6RYY4VGTICEMC}

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	2026-06-19T16:11:14.269723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3d52cc9a57f83c2fa38c72a69a04460b2bf5c92365b1d60f13e61d4e3791078

Aliases

arxiv: 2510.19545 · arxiv_version: 2510.19545v2 · doi: 10.48550/arxiv.2510.19545 · pith_short_12: 2PKSZSNFP6B4 · pith_short_16: 2PKSZSNFP6B4F6RY · pith_short_8: 2PKSZSNF

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/2PKSZSNFP6B4F6RYY4VGTICEMC \
  | 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: d3d52cc9a57f83c2fa38c72a69a04460b2bf5c92365b1d60f13e61d4e3791078

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a83546609e01fa88a6d9428bdc132b50eb8b984b00799d62510325f411b1767",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-10-22T12:52:03Z",
    "title_canon_sha256": "f54799b1dd37fbf45668d94f6d15a1a645af27a48691cefc43ef4c54f5338b1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.19545",
    "kind": "arxiv",
    "version": 2
  }
}