Pith Number

pith:HTMXCJRO

pith:1992:HTMXCJROG3HQL2S6LRFW5YLUAY

not attested not anchored not stored refs pending

Planting Kurepa trees and killing Jech-Kunen trees in a model by using one inaccessible cardinal

Renling Jin, Saharon Shelah

arxiv:math/9211214 v1 · 1992-11-15 · 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{HTMXCJROG3HQL2S6LRFW5YLUAY}

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	2026-05-18T01:05:52.447857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cd971262e36cf05ea5e5c4b6ee174062eac13b204ea827ed17611f101077f86

Aliases

arxiv: math/9211214 · arxiv_version: math/9211214v1 · doi: 10.48550/arxiv.math/9211214 · pith_short_12: HTMXCJROG3HQ · pith_short_16: HTMXCJROG3HQL2S6 · pith_short_8: HTMXCJRO

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/HTMXCJROG3HQL2S6LRFW5YLUAY \
  | 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: 3cd971262e36cf05ea5e5c4b6ee174062eac13b204ea827ed17611f101077f86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12a19af15f62a3253d5f4149bf6e126e7a7f985dc395576d2952035cb5a6b7a8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "1992-11-15T00:00:00Z",
    "title_canon_sha256": "01775e644b045ea898640dad7a57fe0b3aa43086b828462c95b6be9695ad2efe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9211214",
    "kind": "arxiv",
    "version": 1
  }
}