Pith Number

pith:AZSVIFF5

pith:2012:AZSVIFF564KNY5MPVEWVTHPNJX

not attested not anchored not stored refs pending

Splitting families of sets in ZFC

Menachem Kojman

arxiv:1209.1307 v4 · 2012-09-06 · math.CO · 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{AZSVIFF564KNY5MPVEWVTHPNJX}

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	2026-05-18T03:25:35.023835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06655414bdf714dc758fa92d599ded4dd51c4235d27b9dac38ec7b3ee3cb831d

Aliases

arxiv: 1209.1307 · arxiv_version: 1209.1307v4 · doi: 10.48550/arxiv.1209.1307 · pith_short_12: AZSVIFF564KN · pith_short_16: AZSVIFF564KNY5MP · pith_short_8: AZSVIFF5

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/AZSVIFF564KNY5MPVEWVTHPNJX \
  | 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: 06655414bdf714dc758fa92d599ded4dd51c4235d27b9dac38ec7b3ee3cb831d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdeae70c1759e722b1abfc4fd63e7e0c106aa6129170ca692e52dec7ce5abcad",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-09-06T14:56:19Z",
    "title_canon_sha256": "3031fe2248239cca9dfcc814078fa3fe63ad6c86dd978b56514cebc6c1f19e74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1307",
    "kind": "arxiv",
    "version": 4
  }
}