Pith Number

pith:LVZPVX3L

pith:2016:LVZPVX3LIB4KWSKC5EKJQ3IHK7

not attested not anchored not stored refs pending

Fluctuations of Ergodic Averages for Actions of Groups of Polynomial Growth

Nikita Moriakov

arxiv:1608.05033 v2 · 2016-08-17 · 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{LVZPVX3LIB4KWSKC5EKJQ3IHK7}

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	2026-05-18T01:08:28.407020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d72fadf6b4078ab4942e914986d0757d58af5b2d32651ab6cb2e6fd1b183117

Aliases

arxiv: 1608.05033 · arxiv_version: 1608.05033v2 · doi: 10.48550/arxiv.1608.05033 · pith_short_12: LVZPVX3LIB4K · pith_short_16: LVZPVX3LIB4KWSKC · pith_short_8: LVZPVX3L

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/LVZPVX3LIB4KWSKC5EKJQ3IHK7 \
  | 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: 5d72fadf6b4078ab4942e914986d0757d58af5b2d32651ab6cb2e6fd1b183117

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dfca32df9a8b3ae8708ad5ca6aaf243b1107d677374fa673736e0c454570af8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-08-17T18:08:52Z",
    "title_canon_sha256": "f3923a88d132fefa5014626c94ddd9a0291779b5180cf521769ab4b4a15a90f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.05033",
    "kind": "arxiv",
    "version": 2
  }
}