Pith Number

pith:Y6PFM6I6

pith:2023:Y6PFM6I6KN4FPBPGFIXVC2EGK7

not attested not anchored not stored refs pending

The initial segment condition for $\kappa^+$-supercompactness

Farmer Schlutzenberg

arxiv:2306.13827 v3 · 2023-06-24 · 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{Y6PFM6I6KN4FPBPGFIXVC2EGK7}

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.

Cited by

1 paper in Pith

Full normalization for $\kappa^+$-supercompactness

Receipt and verification

First computed	2026-07-05T11:19:17.757422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c79e56791e53785785e62a2f51688657f81034e71747d236439592cde0cb4204

Aliases

arxiv: 2306.13827 · arxiv_version: 2306.13827v3 · doi: 10.48550/arxiv.2306.13827 · pith_short_12: Y6PFM6I6KN4F · pith_short_16: Y6PFM6I6KN4FPBPG · pith_short_8: Y6PFM6I6

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/Y6PFM6I6KN4FPBPGFIXVC2EGK7 \
  | 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: c79e56791e53785785e62a2f51688657f81034e71747d236439592cde0cb4204

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc80ebb68a8f55e5942e258bfb24f0562773bdf86881cbfcf1592bf70b21cd0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2023-06-24T00:49:50Z",
    "title_canon_sha256": "2315ed2ce29b4aa7131cbe1675373b0e7e783cc8eb8db65a3d0160f6056ec41e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.13827",
    "kind": "arxiv",
    "version": 3
  }
}