Pith Number

pith:ZTLY7PVA

pith:2015:ZTLY7PVAWJX3DLCGSSGD7CZGEO

not attested not anchored not stored refs pending

Bi-exact groups, strongly ergodic actions and group measure space type III factors with no central sequence

Cyril Houdayer, Yusuke Isono

arxiv:1510.07987 v3 · 2015-10-27 · math.OA · math.DS · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZTLY7PVAWJX3DLCGSSGD7CZGEO}

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	2026-05-18T01:00:40.275967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccd78fbea0b26fb1ac46948c3f8b2623b87afd30316b7306e8f1261072105819

Aliases

arxiv: 1510.07987 · arxiv_version: 1510.07987v3 · doi: 10.48550/arxiv.1510.07987 · pith_short_12: ZTLY7PVAWJX3 · pith_short_16: ZTLY7PVAWJX3DLCG · pith_short_8: ZTLY7PVA

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/ZTLY7PVAWJX3DLCGSSGD7CZGEO \
  | 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: ccd78fbea0b26fb1ac46948c3f8b2623b87afd30316b7306e8f1261072105819

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3de9688a8c5547832b591d69dcea582e09caf2d99b333888b06f61064d236aae",
    "cross_cats_sorted": [
      "math.DS",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-10-27T17:02:19Z",
    "title_canon_sha256": "299a4a73fb38308479aab28c62c6495896e89e1e9c27d6e68c40b8428f9776bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07987",
    "kind": "arxiv",
    "version": 3
  }
}