Pith Number

pith:UHGY6PD2

pith:2026:UHGY6PD23T4PMXZWBZFD22CR5Z

not attested not anchored not stored refs pending

Second order logic and Set Theory Redux

Jouko V\"a\"an\"anen

arxiv:2606.22584 v1 · 2026-06-21 · 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{UHGY6PD23T4PMXZWBZFD22CR5Z}

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	2026-06-23T02:13:42.198278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1cd8f3c7adcf8f65f360e4a3d6851ee60bc7a0a4420468bbb8efafacfe63ada

Aliases

arxiv: 2606.22584 · arxiv_version: 2606.22584v1 · doi: 10.48550/arxiv.2606.22584 · pith_short_12: UHGY6PD23T4P · pith_short_16: UHGY6PD23T4PMXZW · pith_short_8: UHGY6PD2

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/UHGY6PD23T4PMXZWBZFD22CR5Z \
  | 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: a1cd8f3c7adcf8f65f360e4a3d6851ee60bc7a0a4420468bbb8efafacfe63ada

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97f4a0d66a0ac81de5341d5d46518eecdcb415f5718961c28831401e147a25a3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2026-06-21T16:42:22Z",
    "title_canon_sha256": "2b8ba5913f06b1e562d830219e6e6d6011f4b70fe66242bb35995c9e815b56d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22584",
    "kind": "arxiv",
    "version": 1
  }
}