Pith Number

pith:RMELZHG6

pith:2016:RMELZHG636VIBNPOMDG4WWSAJ5

not attested not anchored not stored refs pending

Weak containment of measure preserving group actions

Alexander S. Kechris, Peter Burton

arxiv:1611.07921 v5 · 2016-11-23 · math.DS · 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{RMELZHG636VIBNPOMDG4WWSAJ5}

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	2026-05-17T23:48:34.686358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b08bc9cdedfaa80b5ee60cdcb5a404f5408b3a1f78514d6442714fea8888801

Aliases

arxiv: 1611.07921 · arxiv_version: 1611.07921v5 · doi: 10.48550/arxiv.1611.07921 · pith_short_12: RMELZHG636VI · pith_short_16: RMELZHG636VIBNPO · pith_short_8: RMELZHG6

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/RMELZHG636VIBNPOMDG4WWSAJ5 \
  | 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: 8b08bc9cdedfaa80b5ee60cdcb5a404f5408b3a1f78514d6442714fea8888801

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2d66eb5b85cd53e8557482d5894bcecc27c0bcc6d824b67d53ef3bbf2ab3b86",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-11-23T18:40:32Z",
    "title_canon_sha256": "7806669b597af842230733184ffb1eaaa0a279cd50ba631d3524647a01fd0629"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.07921",
    "kind": "arxiv",
    "version": 5
  }
}