Pith Number

pith:YTKSY3CF

pith:2015:YTKSY3CFPYULCZE2YEZWTRJPF3

not attested not anchored not stored refs pending

The Calkin algebra is not countably homogeneous

Ilan Hirshberg, Ilijas Farah

arxiv:1506.07455 v2 · 2015-06-24 · math.OA · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YTKSY3CFPYULCZE2YEZWTRJPF3}

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	2026-05-18T01:21:13.263790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4d52c6c457e28b1649ac13369c52f2effe0e7a04f7b124c0c7b298ca2f9028f

Aliases

arxiv: 1506.07455 · arxiv_version: 1506.07455v2 · doi: 10.48550/arxiv.1506.07455 · pith_short_12: YTKSY3CFPYUL · pith_short_16: YTKSY3CFPYULCZE2 · pith_short_8: YTKSY3CF

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/YTKSY3CFPYULCZE2YEZWTRJPF3 \
  | 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: c4d52c6c457e28b1649ac13369c52f2effe0e7a04f7b124c0c7b298ca2f9028f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72d99aa46e924f56bc83d5d080b92f802158b1909d28effb17433b7bf3a136ae",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-06-24T16:30:07Z",
    "title_canon_sha256": "58b5f3cda44b1f2b01cc91beaa210dc56a9daf043bc14eb6db139facb9b24c2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07455",
    "kind": "arxiv",
    "version": 2
  }
}