Pith Number

pith:IAJ4QKYY

pith:2019:IAJ4QKYYEBUTJC5YKGMV6FARAC

not attested not anchored not stored refs pending

On Polish groups admitting non-essentially countable actions

Alexander S. Kechris, Aristotelis Panagiotopoulos, Joseph Zielinski, Maciej Malicki

arxiv:1909.08110 v2 · 2019-09-17 · math.LO · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IAJ4QKYYEBUTJC5YKGMV6FARAC}

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	2026-07-05T06:22:51.911154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4013c82b182069348bb851995f141100aacac799c65a0aa4eee3ca0c21b3c3af

Aliases

arxiv: 1909.08110 · arxiv_version: 1909.08110v2 · doi: 10.48550/arxiv.1909.08110 · pith_short_12: IAJ4QKYYEBUT · pith_short_16: IAJ4QKYYEBUTJC5Y · pith_short_8: IAJ4QKYY

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/IAJ4QKYYEBUTJC5YKGMV6FARAC \
  | 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: 4013c82b182069348bb851995f141100aacac799c65a0aa4eee3ca0c21b3c3af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eec9d401153c8017982f189c27f39eabbb1bf5be9e9008dd6c69f951f4533823",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2019-09-17T21:24:40Z",
    "title_canon_sha256": "3ea4d07a2629b27dfc6bdb5a9018d3f3b57766099126982247a4535759fd3f85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.08110",
    "kind": "arxiv",
    "version": 2
  }
}