Pith Number

pith:LOOZ4TRD

pith:2025:LOOZ4TRDTNCEVNVRBMZBTV2VB5

not attested not anchored not stored refs pending

On some modifications of the Niemytzki plane

Wojciech Bielas

arxiv:2506.01707 v1 · 2025-06-02 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LOOZ4TRDTNCEVNVRBMZBTV2VB5}

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	2026-07-05T11:14:18.115313Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b9d9e4e239b444ab6b10b3219d7550f7ce075f3f62817b08f36df3700bb7c41

Aliases

arxiv: 2506.01707 · arxiv_version: 2506.01707v1 · doi: 10.48550/arxiv.2506.01707 · pith_short_12: LOOZ4TRDTNCE · pith_short_16: LOOZ4TRDTNCEVNVR · pith_short_8: LOOZ4TRD

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/LOOZ4TRDTNCEVNVRBMZBTV2VB5 \
  | 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: 5b9d9e4e239b444ab6b10b3219d7550f7ce075f3f62817b08f36df3700bb7c41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a81fea4af8588d36376151666946f127c0a58b295ad1b7325030ce569b042dc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2025-06-02T14:11:32Z",
    "title_canon_sha256": "e3cbf92d91591a6a24ce1ffce79211eb40418977101624be5a919abfb12825c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.01707",
    "kind": "arxiv",
    "version": 1
  }
}