Pith Number

pith:AXZKWYWV

pith:2025:AXZKWYWVZ3WABMIRJGKWTKYLCZ

not attested not anchored not stored refs pending

Universal consistency of the $k$-NN rule in metric spaces and Nagata dimension. III

Vladimir G. Pestov

arxiv:2512.17058 v3 · 2025-12-18 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AXZKWYWVZ3WABMIRJGKWTKYLCZ}

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	2026-06-08T01:03:54.226655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05f2ab62d5ceec00b111499569ab0b165129ce0039cd364754d89c7345592144

Aliases

arxiv: 2512.17058 · arxiv_version: 2512.17058v3 · doi: 10.48550/arxiv.2512.17058 · pith_short_12: AXZKWYWVZ3WA · pith_short_16: AXZKWYWVZ3WABMIR · pith_short_8: AXZKWYWV

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/AXZKWYWVZ3WABMIRJGKWTKYLCZ \
  | 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: 05f2ab62d5ceec00b111499569ab0b165129ce0039cd364754d89c7345592144

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf21799e55bf3bf9a233a3341dd667e458f61f332f87be8b1a0a9c10c170cb8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-12-18T20:49:44Z",
    "title_canon_sha256": "d5961329465b9d0d618aac59adbb1db1029d452200aff34a30dafbf666e37f7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.17058",
    "kind": "arxiv",
    "version": 3
  }
}