Pith Number

pith:PKXC3NZY

pith:2011:PKXC3NZY6HBSOBOOKEVXDGPOXP

not attested not anchored not stored refs pending

A covering theorem and the random-indestructibility of the density zero ideal

M\'arton Elekes

arxiv:1109.4858 v1 · 2011-09-22 · math.LO · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PKXC3NZY6HBSOBOOKEVXDGPOXP}

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	2026-05-18T04:12:32.786431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7aae2db738f1c32705ce512b7199eebbf647c4b6b69559ad6034ab99f9463e5c

Aliases

arxiv: 1109.4858 · arxiv_version: 1109.4858v1 · doi: 10.48550/arxiv.1109.4858 · pith_short_12: PKXC3NZY6HBS · pith_short_16: PKXC3NZY6HBSOBOO · pith_short_8: PKXC3NZY

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/PKXC3NZY6HBSOBOOKEVXDGPOXP \
  | 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: 7aae2db738f1c32705ce512b7199eebbf647c4b6b69559ad6034ab99f9463e5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04f3de7d9d5f8dc563d8c20a09413f4a6c097d171d24e2f6422963a121f72b44",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-09-22T15:52:02Z",
    "title_canon_sha256": "0b526d0c2020686156ebbafd29b849f3ade74dfb3876c817b95eaf657f7796ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4858",
    "kind": "arxiv",
    "version": 1
  }
}