Pith Number

pith:EDRW5ZHR

pith:2017:EDRW5ZHRWWGY6OQGWODVYHUB7D

not attested not anchored not stored refs pending

Glivenko-Cantelli Theory, Ornstein-Weiss quasi-tilings, and uniform Ergodic Theorems for distribution-valued fields over amenable groups

Christoph Schumacher, Fabian Schwarzenberger, Ivan Veselic

arxiv:1711.07525 v1 · 2017-11-20 · math-ph · math.DS · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EDRW5ZHRWWGY6OQGWODVYHUB7D}

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	2026-05-18T00:04:39.824448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20e36ee4f1b58d8f3a06b3875c1e81f8cd5096ffe0e9aad5bf788d363f7a5c7a

Aliases

arxiv: 1711.07525 · arxiv_version: 1711.07525v1 · doi: 10.48550/arxiv.1711.07525 · pith_short_12: EDRW5ZHRWWGY · pith_short_16: EDRW5ZHRWWGY6OQG · pith_short_8: EDRW5ZHR

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/EDRW5ZHRWWGY6OQGWODVYHUB7D \
  | 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: 20e36ee4f1b58d8f3a06b3875c1e81f8cd5096ffe0e9aad5bf788d363f7a5c7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6b64fdfd919cdf35a22bd836f9bec1491e7ebab64baef90e3896a4d1f2bf7e3",
    "cross_cats_sorted": [
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-11-20T20:16:11Z",
    "title_canon_sha256": "af72462f292dca3eb6479a981a49e1bc66315102b9a5cbd0fef5fd68e6a0f64b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.07525",
    "kind": "arxiv",
    "version": 1
  }
}