Pith Number

pith:55BRZ5O5

pith:2025:55BRZ5O5YP2VLAEWMLW3JRZNCB

not attested not anchored not stored refs pending

Kitaoka's Conjecture for quadratic fields

B{\l}a\.zej \.Zmija, Dayoon Park, Jakub Kr\'asensk\'y, Pavlo Yatsyna, Vitezslav Kala

arxiv:2501.19371 v1 · 2025-01-31 · 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{55BRZ5O5YP2VLAEWMLW3JRZNCB}

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

Escalations and criteria over real quadratic fields

Receipt and verification

First computed	2026-07-05T10:08:00.200754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef431cf5ddc3f555809662edb4c72d107e09b13d0f0dad03ed5df308f1853f89

Aliases

arxiv: 2501.19371 · arxiv_version: 2501.19371v1 · doi: 10.48550/arxiv.2501.19371 · pith_short_12: 55BRZ5O5YP2V · pith_short_16: 55BRZ5O5YP2VLAEW · pith_short_8: 55BRZ5O5

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/55BRZ5O5YP2VLAEWMLW3JRZNCB \
  | 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: ef431cf5ddc3f555809662edb4c72d107e09b13d0f0dad03ed5df308f1853f89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d972d6a6776f61d8dfe90a62624027b5a9cc6d5a6f3d3961511a9a8985dd7920",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-01-31T18:22:32Z",
    "title_canon_sha256": "6897d19fb04bb89dbb9c05dc37dec10f9d453a3faf51e9f0b136d36fc1ee4bc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.19371",
    "kind": "arxiv",
    "version": 1
  }
}