Pith Number

pith:WYWTZFUI

pith:2018:WYWTZFUIR4GPFR4HNX5NGV7A7F

not attested not anchored not stored refs pending

Weak mixing for nonsingular Bernoulli actions of countable amenable groups

Alexandre I. Danilenko

arxiv:1807.05905 v3 · 2018-07-16 · 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{WYWTZFUIR4GPFR4HNX5NGV7A7F}

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	2026-05-18T00:09:46.787643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b62d3c96888f0cf2c7876dfad357e0f971103c787c16f9350298e66bf91dda0a

Aliases

arxiv: 1807.05905 · arxiv_version: 1807.05905v3 · doi: 10.48550/arxiv.1807.05905 · pith_short_12: WYWTZFUIR4GP · pith_short_16: WYWTZFUIR4GPFR4H · pith_short_8: WYWTZFUI

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/WYWTZFUIR4GPFR4HNX5NGV7A7F \
  | 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: b62d3c96888f0cf2c7876dfad357e0f971103c787c16f9350298e66bf91dda0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "033b9ba92508416a46e04a11e49a6272a186739bc227fe02661c5ad9d356ab00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-07-16T15:00:57Z",
    "title_canon_sha256": "29471a5cfba23c5d6ad0ecd7b7f509ab1448d382ed4cdea95d5a3614ed1f095e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.05905",
    "kind": "arxiv",
    "version": 3
  }
}