Pith Number

pith:4J6IP7UO

pith:2015:4J6IP7UOOSYA7P53WIR3DXCSYW

not attested not anchored not stored refs pending

Killing GCH everywhere by a cofinality-preserving forcing notion over a model of GCH

Mohammad Golshani, Sy David Friedman

arxiv:1510.02937 v1 · 2015-10-10 · 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{4J6IP7UOOSYA7P53WIR3DXCSYW}

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	2026-05-18T01:30:26.500973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e27c87fe8e74b00fbfbbb223b1dc52c58ea4b37a98a7946dd3ca7ae68cbb939e

Aliases

arxiv: 1510.02937 · arxiv_version: 1510.02937v1 · doi: 10.48550/arxiv.1510.02937 · pith_short_12: 4J6IP7UOOSYA · pith_short_16: 4J6IP7UOOSYA7P53 · pith_short_8: 4J6IP7UO

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/4J6IP7UOOSYA7P53WIR3DXCSYW \
  | 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: e27c87fe8e74b00fbfbbb223b1dc52c58ea4b37a98a7946dd3ca7ae68cbb939e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a6b38eb930327c65f2eadc579946f8fad571e240703336837c67e9b37f76f98",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-10-10T14:03:29Z",
    "title_canon_sha256": "fbfa78e286459f1bd1450f1734da1f33dfad6855eef8166a2fd5f9ad815f60fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02937",
    "kind": "arxiv",
    "version": 1
  }
}