Pith Number

pith:NIWMJBAN

pith:2016:NIWMJBANTOSVXXJSAO4SMNYKI4

not attested not anchored not stored refs pending

ZFC proves that the class of ordinals is not weakly compact for definable classes

Ali Enayat, Joel David Hamkins

arxiv:1610.02729 v2 · 2016-10-09 · 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{NIWMJBANTOSVXXJSAO4SMNYKI4}

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	2026-05-18T00:31:59.083133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a2cc4840d9ba55bdd3203b926370a47263b8b19fb4a62d937d51c5f747556a5

Aliases

arxiv: 1610.02729 · arxiv_version: 1610.02729v2 · doi: 10.48550/arxiv.1610.02729 · pith_short_12: NIWMJBANTOSV · pith_short_16: NIWMJBANTOSVXXJS · pith_short_8: NIWMJBAN

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/NIWMJBANTOSVXXJSAO4SMNYKI4 \
  | 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: 6a2cc4840d9ba55bdd3203b926370a47263b8b19fb4a62d937d51c5f747556a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3793d03fce9235d962e34acf9c1ef1e86aa0a341a813cf68fd90378632b0791",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-10-09T22:05:28Z",
    "title_canon_sha256": "48eff4c39a956c96fa15b33393dab70e89ecfd7cb1798bfa5cf0862089d1732c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02729",
    "kind": "arxiv",
    "version": 2
  }
}