Pith Number

pith:KVCRZ4CV

pith:2018:KVCRZ4CVVZDPA6H4MBTDMTFMR7

not attested not anchored not stored refs pending

A descriptive set theorist's proof of the pointwise ergodic theorem

Anush Tserunyan

arxiv:1805.07365 v2 · 2018-05-18 · 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{KVCRZ4CVVZDPA6H4MBTDMTFMR7}

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	2026-05-18T00:13:04.051373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55451cf055ae46f078fc6066364cac8fedcba74ff8abcbd95518961fe18ea3db

Aliases

arxiv: 1805.07365 · arxiv_version: 1805.07365v2 · doi: 10.48550/arxiv.1805.07365 · pith_short_12: KVCRZ4CVVZDP · pith_short_16: KVCRZ4CVVZDPA6H4 · pith_short_8: KVCRZ4CV

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/KVCRZ4CVVZDPA6H4MBTDMTFMR7 \
  | 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: 55451cf055ae46f078fc6066364cac8fedcba74ff8abcbd95518961fe18ea3db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe92ebe58b8af33b1bb8dfc443d89f92ca3c2fa3d14ccce0adaaae70ee3c9654",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-05-18T18:01:12Z",
    "title_canon_sha256": "64d6451a4fe6f5dcb6666f8f926c442f648fd73406c06904472f52e917b034d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.07365",
    "kind": "arxiv",
    "version": 2
  }
}