Pith Number

pith:NWGMOSL6

pith:2019:NWGMOSL6UQETLJ6IFVCZF3X4E5

not attested not anchored not stored refs pending

Fluctuation bounds for ergodic averages of amenable groups on uniformly convex Banach spaces

Andrew Warren

arxiv:1901.08538 v1 · 2019-01-24 · 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{NWGMOSL6UQETLJ6IFVCZF3X4E5}

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	2026-05-17T23:55:35.238127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d8cc7497ea40935a7c82d4592eefc27419e27996b3b7cab3579102947c4319c

Aliases

arxiv: 1901.08538 · arxiv_version: 1901.08538v1 · doi: 10.48550/arxiv.1901.08538 · pith_short_12: NWGMOSL6UQET · pith_short_16: NWGMOSL6UQETLJ6I · pith_short_8: NWGMOSL6

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/NWGMOSL6UQETLJ6IFVCZF3X4E5 \
  | 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: 6d8cc7497ea40935a7c82d4592eefc27419e27996b3b7cab3579102947c4319c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd4a232fd2c9cd835a61f062231372fc00802879f07a4abc1b09e6f8a2ad2590",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-01-24T18:00:01Z",
    "title_canon_sha256": "defa518dbb29d0c6759f34ec8e2c4d42ac3164f8fc58f202b8ec612812cf9c29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.08538",
    "kind": "arxiv",
    "version": 1
  }
}