Pith Number

pith:Y2QZ2CMP

pith:2012:Y2QZ2CMPCWWKLNDW42M3IXRYNN

not attested not anchored not stored refs pending

Embedding Orders Into Cardinals With $DC_\kappa$

Asaf Karagila

arxiv:1212.4396 v4 · 2012-12-18 · 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{Y2QZ2CMPCWWKLNDW42M3IXRYNN}

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	2026-05-18T02:49:46.150067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6a19d098f15aca5b476e699b45e386b6b3a56fadfaba50f28a9ae881026c5b6

Aliases

arxiv: 1212.4396 · arxiv_version: 1212.4396v4 · doi: 10.48550/arxiv.1212.4396 · pith_short_12: Y2QZ2CMPCWWK · pith_short_16: Y2QZ2CMPCWWKLNDW · pith_short_8: Y2QZ2CMP

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/Y2QZ2CMPCWWKLNDW42M3IXRYNN \
  | 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: c6a19d098f15aca5b476e699b45e386b6b3a56fadfaba50f28a9ae881026c5b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f90d24627977d08a0c8df49817de210e7278c36142d169945e4b04dbd94b0f22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-12-18T15:48:03Z",
    "title_canon_sha256": "2cbe60de3eeb7ecee9a5e7460eaa9415224b654cbb1dcd20c83ff83062591a22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4396",
    "kind": "arxiv",
    "version": 4
  }
}