Pith Number

pith:ISIPMLWJ

pith:2015:ISIPMLWJXZRHRS4KB5HXMUFUYZ

not attested not anchored not stored refs pending

A dichotomy theorem for the generalized Baire space and elementary embeddability at uncountable cardinals

Dorottya Szir\'aki, Jouko V\"a\"an\"anen

arxiv:1508.05539 v2 · 2015-08-22 · 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{ISIPMLWJXZRHRS4KB5HXMUFUYZ}

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	2026-05-18T01:04:37.792829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4490f62ec9be6278cb8a0f4f7650b4c676c9e1d68481cb59be68b19f3258ac45

Aliases

arxiv: 1508.05539 · arxiv_version: 1508.05539v2 · doi: 10.48550/arxiv.1508.05539 · pith_short_12: ISIPMLWJXZRH · pith_short_16: ISIPMLWJXZRHRS4K · pith_short_8: ISIPMLWJ

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/ISIPMLWJXZRHRS4KB5HXMUFUYZ \
  | 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: 4490f62ec9be6278cb8a0f4f7650b4c676c9e1d68481cb59be68b19f3258ac45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9eeea8164137062dbcc963ec6f4a8108dc515112bdd3654da232e8f357380c6b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-08-22T18:57:39Z",
    "title_canon_sha256": "956d2a6a4fd91d71c2fb76f8a5bde536767f8bc9d58b7ceb3c80af23ce4b7205"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05539",
    "kind": "arxiv",
    "version": 2
  }
}