Pith Number

pith:575QVOKU

pith:2011:575QVOKU43RFTMB6X2KRETNWDC

not attested not anchored not stored refs pending

Comparing the closed almost disjointness and dominating numbers

Dilip Raghavan, Saharon Shelah

arxiv:1110.6690 v1 · 2011-10-31 · 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{575QVOKU43RFTMB6X2KRETNWDC}

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	2026-05-18T04:09:54.807354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

effb0ab954e6e259b03ebe95124db618b410b550094a9e7138e95bc52628bddf

Aliases

arxiv: 1110.6690 · arxiv_version: 1110.6690v1 · doi: 10.48550/arxiv.1110.6690 · pith_short_12: 575QVOKU43RF · pith_short_16: 575QVOKU43RFTMB6 · pith_short_8: 575QVOKU

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/575QVOKU43RFTMB6X2KRETNWDC \
  | 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: effb0ab954e6e259b03ebe95124db618b410b550094a9e7138e95bc52628bddf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df9f04e69124bdd309f0a5d0b4028c67852673616ea7d3b1c1e4750dafdd09c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-10-31T04:33:29Z",
    "title_canon_sha256": "a4533e18b8e4ff342a21de1b9f28c5c01fbfe1a3c4ecb6abdab96305e658c895"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6690",
    "kind": "arxiv",
    "version": 1
  }
}