Pith Number

pith:DEGKXZER

pith:2011:DEGKXZERJ3EOKLLSQVUURXITE7

not attested not anchored not stored refs pending

The failure of GCH at a degree of supercompactness

Brent Cody

arxiv:1110.5365 v3 · 2011-10-24 · 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{DEGKXZERJ3EOKLLSQVUURXITE7}

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	2026-05-18T03:50:09.180917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

190cabe4914ec8e52d72856948dd1327ee8eb9a7dbadffbf705213ce94c5f0ec

Aliases

arxiv: 1110.5365 · arxiv_version: 1110.5365v3 · doi: 10.48550/arxiv.1110.5365 · pith_short_12: DEGKXZERJ3EO · pith_short_16: DEGKXZERJ3EOKLLS · pith_short_8: DEGKXZER

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/DEGKXZERJ3EOKLLSQVUURXITE7 \
  | 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: 190cabe4914ec8e52d72856948dd1327ee8eb9a7dbadffbf705213ce94c5f0ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b05c3b92cc074c62c597ed9253f5d270417835f52fa7e263eb05340fbc267aeb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-10-24T22:20:49Z",
    "title_canon_sha256": "31f1c0c425551dc92a4bfc5572f58d06fe246bf05766d200291a5468c65837d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5365",
    "kind": "arxiv",
    "version": 3
  }
}