Pith Number

pith:WEKUPXOL

pith:2016:WEKUPXOLMJSRIL77KPBRYIXSF2

not attested not anchored not stored refs pending

The tree property at double successors of singular cardinals of uncountable cofinality

Mohammad Golshani, Rahman Mohammadpour

arxiv:1612.08358 v2 · 2016-12-26 · 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{WEKUPXOLMJSRIL77KPBRYIXSF2}

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	2026-05-18T00:38:36.143777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b11547ddcb6265142fff53c31c22f22e8eaaaf6b9b6decf0ff5f8983e612f8e8

Aliases

arxiv: 1612.08358 · arxiv_version: 1612.08358v2 · doi: 10.48550/arxiv.1612.08358 · pith_short_12: WEKUPXOLMJSR · pith_short_16: WEKUPXOLMJSRIL77 · pith_short_8: WEKUPXOL

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/WEKUPXOLMJSRIL77KPBRYIXSF2 \
  | 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: b11547ddcb6265142fff53c31c22f22e8eaaaf6b9b6decf0ff5f8983e612f8e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8871012b534977cc339ef3f40e7d0558b7635c1307972c01e5a5444b6d63139c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-12-26T10:18:54Z",
    "title_canon_sha256": "48d5973f5caa28733c9196a4c681b3f1b3bbd29ebea875a2552c4964b03cbfe9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08358",
    "kind": "arxiv",
    "version": 2
  }
}