Pith Number

pith:MZLFQ52K

pith:2018:MZLFQ52KKWIGLQVNPROBVRTYY5

not attested not anchored not stored refs pending

Almost uniform and strong convergences in ergodic theorems for symmetric spaces

Semyon Litvinov, Vladimir Chilin

arxiv:1802.06932 v1 · 2018-02-20 · 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{MZLFQ52KKWIGLQVNPROBVRTYY5}

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	2026-05-18T00:22:53.955448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

665658774a559065c2ad7c5c1ac678c77aadc4117150e9a639a72316343e8642

Aliases

arxiv: 1802.06932 · arxiv_version: 1802.06932v1 · doi: 10.48550/arxiv.1802.06932 · pith_short_12: MZLFQ52KKWIG · pith_short_16: MZLFQ52KKWIGLQVN · pith_short_8: MZLFQ52K

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/MZLFQ52KKWIGLQVNPROBVRTYY5 \
  | 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: 665658774a559065c2ad7c5c1ac678c77aadc4117150e9a639a72316343e8642

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3faf98b93158587562ef3b7c5617465735bfead7b59b45ca09e93e2b64cb06d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-02-20T01:45:25Z",
    "title_canon_sha256": "026ebf5a22eda563b2e8e5c60a0605343c21e0f7379df5e0d89fde563e19769b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.06932",
    "kind": "arxiv",
    "version": 1
  }
}