Pith Number

pith:GQHDYIFS

pith:2019:GQHDYIFSSNBINWWYNDZYXUGU57

not attested not anchored not stored refs pending

Models of set theory in which separation theorem fails

Vassily Lyubetsky, Vladimir Kanovei

arxiv:1905.11241 v1 · 2019-05-24 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GQHDYIFSSNBINWWYNDZYXUGU57}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-17T23:45:02.588438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

340e3c20b2934286dad868f38bd0d4efe5e3610cf6bbecd1d88aa861531ddfc0

Aliases

arxiv: 1905.11241 · arxiv_version: 1905.11241v1 · doi: 10.48550/arxiv.1905.11241 · pith_short_12: GQHDYIFSSNBI · pith_short_16: GQHDYIFSSNBINWWY · pith_short_8: GQHDYIFS

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/GQHDYIFSSNBINWWYNDZYXUGU57 \
  | 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: 340e3c20b2934286dad868f38bd0d4efe5e3610cf6bbecd1d88aa861531ddfc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08b08ea03d4bdaa57708a60e4086c2db6a89a39112b81062e3fff7c194e123bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2019-05-24T10:03:29Z",
    "title_canon_sha256": "51bea008a823b10128727ad4bc1cca141365004262f7e912a2553af5f3f04b47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.11241",
    "kind": "arxiv",
    "version": 1
  }
}