Pith Number

pith:AMF5UFEP

pith:2011:AMF5UFEPNG4CCBNGNR66OQECR5

not attested not anchored not stored refs pending

Violating the Singular Cardinals Hypothesis Without Large Cardinals

Moti Gitik, Peter Koepke

arxiv:1107.1667 v1 · 2011-07-08 · 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{AMF5UFEPNG4CCBNGNR66OQECR5}

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	2026-05-18T04:18:35.248347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

030bda148f69b82105a66c7de740828f428e430548f9cf37b6fecc2de5303431

Aliases

arxiv: 1107.1667 · arxiv_version: 1107.1667v1 · doi: 10.48550/arxiv.1107.1667 · pith_short_12: AMF5UFEPNG4C · pith_short_16: AMF5UFEPNG4CCBNG · pith_short_8: AMF5UFEP

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/AMF5UFEPNG4CCBNGNR66OQECR5 \
  | 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: 030bda148f69b82105a66c7de740828f428e430548f9cf37b6fecc2de5303431

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97ea7246a3aa537ae83a6f514361b1ead09b402b7683b8d3dc9736c8f48d7d5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-07-08T16:05:42Z",
    "title_canon_sha256": "fa19e59d0fb0d3c280b035cd0a472bb7bb888e9f94e407f8117da6d2a0911476"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1667",
    "kind": "arxiv",
    "version": 1
  }
}