Pith Number

pith:73JHXZX4

pith:2016:73JHXZX47FJUNO5563M45S4Z3D

not attested not anchored not stored refs pending

Invariant random subgroups and action versus representation maximality

Alexander S. Kechris, Peter J. Burton

arxiv:1608.01331 v1 · 2016-08-03 · 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{73JHXZX47FJUNO5563M45S4Z3D}

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	2026-05-18T01:09:55.779757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fed27be6fcf95346bbbdf6d9cecb99d8cba85467581d77ad7aab00c3e6e8e1af

Aliases

arxiv: 1608.01331 · arxiv_version: 1608.01331v1 · doi: 10.48550/arxiv.1608.01331 · pith_short_12: 73JHXZX47FJU · pith_short_16: 73JHXZX47FJUNO55 · pith_short_8: 73JHXZX4

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/73JHXZX47FJUNO5563M45S4Z3D \
  | 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: fed27be6fcf95346bbbdf6d9cecb99d8cba85467581d77ad7aab00c3e6e8e1af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf2697f0e9c723247bc0686b4b41d8447b568affc22125d2074dd7b19b76aee0",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-08-03T20:10:21Z",
    "title_canon_sha256": "312dcdcce1b03b6b7446adec9cc49afcb0545f781226c13d5b6c8a8e77e889ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01331",
    "kind": "arxiv",
    "version": 1
  }
}