Pith Number

pith:QS4MUIW7

pith:2011:QS4MUIW7RWUH7GPE4XZ76LXSRJ

not attested not anchored not stored refs pending

Using Grossone to count the number of elements of infinite sets and the connection with bijections

Maurice Margenstern

arxiv:1106.2290 v1 · 2011-06-12 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QS4MUIW7RWUH7GPE4XZ76LXSRJ}

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	2026-05-18T04:20:06.087605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84b8ca22df8da87f99e4e5f3ff2ef28a440f0a057ed542cf594c2e17a36a7ac2

Aliases

arxiv: 1106.2290 · arxiv_version: 1106.2290v1 · doi: 10.48550/arxiv.1106.2290 · pith_short_12: QS4MUIW7RWUH · pith_short_16: QS4MUIW7RWUH7GPE · pith_short_8: QS4MUIW7

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/QS4MUIW7RWUH7GPE4XZ76LXSRJ \
  | 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: 84b8ca22df8da87f99e4e5f3ff2ef28a440f0a057ed542cf594c2e17a36a7ac2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a59f0de7ac7493491bdf2a78f1bbb37066a49cce0372d1691413aa9a108ecd23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2011-06-12T08:44:00Z",
    "title_canon_sha256": "95f09a2b4c3473195e83737355736c2529f546d6def6ce9b8b4f78b486fdeada"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2290",
    "kind": "arxiv",
    "version": 1
  }
}