Pith Number

pith:Q7UXYX4A

pith:2017:Q7UXYX4ALPJVD3ISAT2S43NYEQ

not attested not anchored not stored refs pending

On the Relationship between Ideal Cluster Points and Ideal Limit Points

Marek Balcerzak, Paolo Leonetti

arxiv:1709.01680 v2 · 2017-09-06 · math.FA · math.CA · math.GN · math.NT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q7UXYX4ALPJVD3ISAT2S43NYEQ}

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	2026-05-18T00:33:58.483104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87e97c5f805bd351ed1204f52e6db8242d67402fbfd6402c480a993d21a0d7ba

Aliases

arxiv: 1709.01680 · arxiv_version: 1709.01680v2 · doi: 10.48550/arxiv.1709.01680 · pith_short_12: Q7UXYX4ALPJV · pith_short_16: Q7UXYX4ALPJVD3IS · pith_short_8: Q7UXYX4A

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/Q7UXYX4ALPJVD3ISAT2S43NYEQ \
  | 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: 87e97c5f805bd351ed1204f52e6db8242d67402fbfd6402c480a993d21a0d7ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c2b568e11422c8069f6fbbb2adb236cb097b225250b9f36cc73714ca38f07aa",
    "cross_cats_sorted": [
      "math.CA",
      "math.GN",
      "math.NT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-09-06T05:23:44Z",
    "title_canon_sha256": "d358c9641e17dc0b81239c97034c1556eab42d5507035e83d1d5a9d9693909dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.01680",
    "kind": "arxiv",
    "version": 2
  }
}