Pith Number

pith:NN4OC72K

pith:2012:NN4OC72KR3E5EOLEFG7MQN2FJ6

not attested not anchored not stored refs pending

Absolutes of Hausdorff spaces and cardinal invariants $F_{\te}$ and $t_{\te}$}

Andrei Catalioto, Filippo Cammaroto, Jack Porter

arxiv:1206.6556 v2 · 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{NN4OC72KR3E5EOLEFG7MQN2FJ6}

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	2026-05-18T03:38:14.131975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b78e17f4a8ec9d2396429bec837454f8e289c6dc721327d202f245ac8624050

Aliases

arxiv: 1206.6556 · arxiv_version: 1206.6556v2 · doi: 10.48550/arxiv.1206.6556 · pith_short_12: NN4OC72KR3E5 · pith_short_16: NN4OC72KR3E5EOLE · pith_short_8: NN4OC72K

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/NN4OC72KR3E5EOLEFG7MQN2FJ6 \
  | 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: 6b78e17f4a8ec9d2396429bec837454f8e289c6dc721327d202f245ac8624050

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e7f632f01ad7fb374a521333b920c0c5eeea6bcea00e073fbc3298042eab7b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2012-06-28T03:23:07Z",
    "title_canon_sha256": "22890f4ef554437242278757b704ac4a480260ee6df89978e4e6237353d91a33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6556",
    "kind": "arxiv",
    "version": 2
  }
}