Pith Number

pith:4JE6DJE5

pith:2012:4JE6DJE5HJ52CPMZIEX3ZFU3Z4

not attested not anchored not stored refs pending

On the cardinality of Hausdorff spaces

Andrei Catalioto, Filippo Cammaroto, Jack Porter

arxiv:1206.6779 v5 · 2012-06-28 · 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{4JE6DJE5HJ52CPMZIEX3ZFU3Z4}

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	2026-05-18T03:38:14.113129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e249e1a49d3a7ba13d99412fbc969bcf0052899d0b45ed149cdb78fe92e87489

Aliases

arxiv: 1206.6779 · arxiv_version: 1206.6779v5 · doi: 10.48550/arxiv.1206.6779 · pith_short_12: 4JE6DJE5HJ52 · pith_short_16: 4JE6DJE5HJ52CPMZ · pith_short_8: 4JE6DJE5

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/4JE6DJE5HJ52CPMZIEX3ZFU3Z4 \
  | 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: e249e1a49d3a7ba13d99412fbc969bcf0052899d0b45ed149cdb78fe92e87489

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a75e7f839fe34267a1c4af92c5e890e1cb133ae5ff463b0dd3181c25dae37871",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2012-06-28T18:00:09Z",
    "title_canon_sha256": "db7b0ad1b3a9a6c0c68f525a61858ed2b5f2b55f7c43805fc5ba5a2c69dae09c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6779",
    "kind": "arxiv",
    "version": 5
  }
}