Pith Number

pith:M2XUSMQN

pith:2011:M2XUSMQNKNAQNWLLMW64HCVODG

not attested not anchored not stored refs pending

Measurability in C(2^k) and Kunen cardinals

Antonio Avil\'es, Grzegorz Plebanek, Jos\'e Rodr\'iguez

arxiv:1103.0247 v2 · 2011-03-01 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M2XUSMQNKNAQNWLLMW64HCVODG}

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	2026-05-18T02:48:55.204222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66af49320d534106d96b65bdc38aae19b46a538cb41102f88f8a08cac8b356f4

Aliases

arxiv: 1103.0247 · arxiv_version: 1103.0247v2 · doi: 10.48550/arxiv.1103.0247 · pith_short_12: M2XUSMQNKNAQ · pith_short_16: M2XUSMQNKNAQNWLL · pith_short_8: M2XUSMQN

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/M2XUSMQNKNAQNWLLMW64HCVODG \
  | 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: 66af49320d534106d96b65bdc38aae19b46a538cb41102f88f8a08cac8b356f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87f330d8ad73e522ff1c0ac30c63ab3e58b4ad9bff0f45366c68d2617deeebd5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-03-01T18:38:48Z",
    "title_canon_sha256": "7116885b5b606859b1a86849c1522df93137d7542d701af24dbac2ee2f68f5d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0247",
    "kind": "arxiv",
    "version": 2
  }
}