Pith Number

pith:Y4TSUIB3

pith:2016:Y4TSUIB3KTKSNWPA7SVV2BW5X7

not attested not anchored not stored refs pending

Destructibility of the tree property at $\aleph_{\omega+1}$

Menachem Magidor, Yair Hayut

arxiv:1603.05526 v3 · 2016-03-17 · 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{Y4TSUIB3KTKSNWPA7SVV2BW5X7}

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	2026-05-17T23:47:36.633106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7272a203b54d526d9e0fcab5d06ddbff2e084c9e515ba89a8a77d33b787710f

Aliases

arxiv: 1603.05526 · arxiv_version: 1603.05526v3 · doi: 10.48550/arxiv.1603.05526 · pith_short_12: Y4TSUIB3KTKS · pith_short_16: Y4TSUIB3KTKSNWPA · pith_short_8: Y4TSUIB3

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/Y4TSUIB3KTKSNWPA7SVV2BW5X7 \
  | 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: c7272a203b54d526d9e0fcab5d06ddbff2e084c9e515ba89a8a77d33b787710f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4221d38210affd485a69e60aad1b4721e49757aaed58a72679efc5c598a43116",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-03-17T15:07:52Z",
    "title_canon_sha256": "d6ad71d0ee175ba847afbe465ea448ed3a60df53bb9c237ee496fc258d126823"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.05526",
    "kind": "arxiv",
    "version": 3
  }
}