Pith Number

pith:3I7EB7TN

pith:2017:3I7EB7TNVSWCFUI6OHTQBPQDRC

not attested not anchored not stored refs pending

Bernoulli actions of type III_1 and L^2-cohomology

Jonas Wahl, Stefaan Vaes

arxiv:1705.00439 v4 · 2017-05-01 · math.DS · math.GR · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3I7EB7TNVSWCFUI6OHTQBPQDRC}

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	2026-05-18T00:17:54.788608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da3e40fe6dacac22d11e71e700be03889392b9b9063d54b4937d738e753909ea

Aliases

arxiv: 1705.00439 · arxiv_version: 1705.00439v4 · doi: 10.48550/arxiv.1705.00439 · pith_short_12: 3I7EB7TNVSWC · pith_short_16: 3I7EB7TNVSWCFUI6 · pith_short_8: 3I7EB7TN

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/3I7EB7TNVSWCFUI6OHTQBPQDRC \
  | 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: da3e40fe6dacac22d11e71e700be03889392b9b9063d54b4937d738e753909ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c5c550b75950ea5c376f3614f620f56587895c99f88041f05d832c0f3db494b",
    "cross_cats_sorted": [
      "math.GR",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-05-01T07:55:12Z",
    "title_canon_sha256": "512f5241291d476542ccbb7a08c628c932ba80844dd0f182b806c02e79a99f8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.00439",
    "kind": "arxiv",
    "version": 4
  }
}