Pith Number

pith:V4XAHSVM

pith:2015:V4XAHSVMN2A3VU3M3PYSMUNCV2

not attested not anchored not stored refs pending

Some properties of $\mathcal{I}$-Luzin sets

Marcin Michalski, Szymon \.Zeberski

arxiv:1501.04900 v2 · 2015-01-20 · 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{V4XAHSVMN2A3VU3M3PYSMUNCV2}

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	2026-05-18T02:28:41.156760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af2e03caac6e81bad36cdbf12651a2ae8de09c62491dd89b263c851da324cec9

Aliases

arxiv: 1501.04900 · arxiv_version: 1501.04900v2 · doi: 10.48550/arxiv.1501.04900 · pith_short_12: V4XAHSVMN2A3 · pith_short_16: V4XAHSVMN2A3VU3M · pith_short_8: V4XAHSVM

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/V4XAHSVMN2A3VU3M3PYSMUNCV2 \
  | 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: af2e03caac6e81bad36cdbf12651a2ae8de09c62491dd89b263c851da324cec9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31af77967b63de7cef5386ac5f1a0888dd3553f28d954c99a585726547aedeae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2015-01-20T18:06:00Z",
    "title_canon_sha256": "4c4d4e7d831b1f09c15bce4606b56ec3b4c2d21ca4d3c587963e474852c96aca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04900",
    "kind": "arxiv",
    "version": 2
  }
}