Pith Number

pith:OYHGWLR5

pith:2016:OYHGWLR5XYH5JJWYD6NG4ZZ2DT

not attested not anchored not stored refs pending

On the class of perfectly null sets and its transitive version

Micha{\l} Korch, Tomasz Weiss

arxiv:1609.04005 v1 · 2016-09-13 · 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{OYHGWLR5XYH5JJWYD6NG4ZZ2DT}

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	2026-05-18T00:23:17.217781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

760e6b2e3dbe0fd4a6d81f9a6e673a1cdab471ec1cd281bd685aa5461bf5c433

Aliases

arxiv: 1609.04005 · arxiv_version: 1609.04005v1 · doi: 10.48550/arxiv.1609.04005 · pith_short_12: OYHGWLR5XYH5 · pith_short_16: OYHGWLR5XYH5JJWY · pith_short_8: OYHGWLR5

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/OYHGWLR5XYH5JJWYD6NG4ZZ2DT \
  | 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: 760e6b2e3dbe0fd4a6d81f9a6e673a1cdab471ec1cd281bd685aa5461bf5c433

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab11d2a01b6ea1a05a9dfe01ba3ea6065c09accc8f75fbe4483ba6444b4032b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-09-13T12:14:14Z",
    "title_canon_sha256": "e8538f4a6d9fe32679c766e80fd57e19b90c829d3ff8b8de2bcedd031603314d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04005",
    "kind": "arxiv",
    "version": 1
  }
}