Pith Number

pith:LWCLMOFU

pith:2012:LWCLMOFULW7S6RBZ72AKYO365L

not attested not anchored not stored refs pending

On the cardinality of the $\theta$-closed hull of sets

Andrei Catalioto, Boaz Tsaban, Bruno Antonio Pansera, Filippo Cammaroto

arxiv:1203.5824 v1 · 2012-03-26 · 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{LWCLMOFULW7S6RBZ72AKYO365L}

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	2026-05-18T03:59:13.347051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d84b638b45dbf2f4439fe80ac3b7eeaf970f649533c010cb9a43656023cce49

Aliases

arxiv: 1203.5824 · arxiv_version: 1203.5824v1 · doi: 10.48550/arxiv.1203.5824 · pith_short_12: LWCLMOFULW7S · pith_short_16: LWCLMOFULW7S6RBZ · pith_short_8: LWCLMOFU

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/LWCLMOFULW7S6RBZ72AKYO365L \
  | 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: 5d84b638b45dbf2f4439fe80ac3b7eeaf970f649533c010cb9a43656023cce49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02c0eb6358f95b261b344a71e463c32c8180568509b5c6a685c949e3418aba39",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2012-03-26T21:38:30Z",
    "title_canon_sha256": "18e196c8396abc200928341da5a5de7cf81c40918e907ae71d92140e88c2f681"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5824",
    "kind": "arxiv",
    "version": 1
  }
}