Pith Number

pith:7HYYLU5P

pith:2022:7HYYLU5PEFCNHKBP6F5EIQIWDR

not attested not anchored not stored refs pending

Set Theory in the Foundation of Math; Internal Classes and External Sets

Leonid A. Levin

arxiv:2209.07497 v19 · 2022-09-15 · cs.LO · cs.CC · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7HYYLU5PEFCNHKBP6F5EIQIWDR}

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	2026-06-26T01:15:41.280908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9f185d3af2144d3a82ff17a4441161c5aa2da448efdbb4a46b1a8a4e0c5de4c

Aliases

arxiv: 2209.07497 · arxiv_version: 2209.07497v19 · doi: 10.48550/arxiv.2209.07497 · pith_short_12: 7HYYLU5PEFCN · pith_short_16: 7HYYLU5PEFCNHKBP · pith_short_8: 7HYYLU5P

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/7HYYLU5PEFCNHKBP6F5EIQIWDR \
  | 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: f9f185d3af2144d3a82ff17a4441161c5aa2da448efdbb4a46b1a8a4e0c5de4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edfe6af53965b014f2ea5929bec9680c8f1f1e0a8a18cedd3a1927a4d71a0d11",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2022-09-15T17:39:21Z",
    "title_canon_sha256": "c5899d1f4f4c1ca370b84b0671d029597a2a13bbf5dca2b875655a85e6fb8e29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.07497",
    "kind": "arxiv",
    "version": 19
  }
}