Pith Number

pith:ZBDGJOKA

pith:2014:ZBDGJOKAU6L6FHAPI7M5GR6HSK

not attested not anchored not stored refs pending

A Framework for Forcing Constructions at Successors of Singular Cardinals

Charles Morgan, James Cummings, Menachem Magidor, Mirna D\v{z}amonja, Saharon Shelah

arxiv:1403.6795 v3 · 2014-03-26 · 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{ZBDGJOKAU6L6FHAPI7M5GR6HSK}

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	2026-05-18T01:14:26.323144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c84664b940a797e29c0f47d9d347c7928b34e8fd2a75ff3befcaf9d1315c2a60

Aliases

arxiv: 1403.6795 · arxiv_version: 1403.6795v3 · doi: 10.48550/arxiv.1403.6795 · pith_short_12: ZBDGJOKAU6L6 · pith_short_16: ZBDGJOKAU6L6FHAP · pith_short_8: ZBDGJOKA

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/ZBDGJOKAU6L6FHAPI7M5GR6HSK \
  | 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: c84664b940a797e29c0f47d9d347c7928b34e8fd2a75ff3befcaf9d1315c2a60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ceaeb39b1c3480f4251b60697cd728937a67617924569960290509aa7da1072d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2014-03-26T19:21:02Z",
    "title_canon_sha256": "bbfa3c7f3d99fa8b25c48025b8774fdad2669227b904c3d031529b76da72a233"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.6795",
    "kind": "arxiv",
    "version": 3
  }
}