Pith Number

pith:BVH4BJVZ

pith:2012:BVH4BJVZFJ3L4RPFIJM7XZ6QDB

not attested not anchored not stored refs pending

Inconsistency of the Zermelo-Fraenkel set theory with the axiom of choice and its effects on the computational complexity

Minseong Kim

arxiv:1203.0494 v2 · 2012-03-02 · cs.LO · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BVH4BJVZFJ3L4RPFIJM7XZ6QDB}

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	2026-05-18T00:53:41.020422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d4fc0a6b92a76be45e54259fbe7d018732ceeecde457cd414f31fbc5becf975

Aliases

arxiv: 1203.0494 · arxiv_version: 1203.0494v2 · doi: 10.48550/arxiv.1203.0494 · pith_short_12: BVH4BJVZFJ3L · pith_short_16: BVH4BJVZFJ3L4RPF · pith_short_8: BVH4BJVZ

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/BVH4BJVZFJ3L4RPFIJM7XZ6QDB \
  | 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: 0d4fc0a6b92a76be45e54259fbe7d018732ceeecde457cd414f31fbc5becf975

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c5a57a61e8cbc8e12b1f7a14a33fb698d3fb45c09059375ffa4d81d6c02e6ac",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2012-03-02T15:28:11Z",
    "title_canon_sha256": "9a070871cf9175827d29006d4fd69a11a6a67e3ee7046300ca43cff48dc2ce25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0494",
    "kind": "arxiv",
    "version": 2
  }
}