Pith Number

pith:QZ5LOGHK

pith:2018:QZ5LOGHKOZAVILXZWUBIVVBLZH

not attested not anchored not stored refs pending

Noncommutative weighted individual ergodic theorems with continuous time

Semyon Litvinov, Vladimir Chilin

arxiv:1809.01788 v1 · 2018-09-06 · math.OA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QZ5LOGHKOZAVILXZWUBIVVBLZH}

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	2026-05-18T00:06:21.907611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

867ab718ea7641542ef9b5028ad42bc9e3a65f5d03cf66cfbbb705c4d592feac

Aliases

arxiv: 1809.01788 · arxiv_version: 1809.01788v1 · doi: 10.48550/arxiv.1809.01788 · pith_short_12: QZ5LOGHKOZAV · pith_short_16: QZ5LOGHKOZAVILXZ · pith_short_8: QZ5LOGHK

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/QZ5LOGHKOZAVILXZWUBIVVBLZH \
  | 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: 867ab718ea7641542ef9b5028ad42bc9e3a65f5d03cf66cfbbb705c4d592feac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f677754dd0f55c760ab00436d0b65b4a1bc6acfe7721e2003034beea77290bc8",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-09-06T01:47:20Z",
    "title_canon_sha256": "d14576b1c4ed4edb48e0d99d3d14984b80ad9f39f738ef88776101aea7033b59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.01788",
    "kind": "arxiv",
    "version": 1
  }
}