Pith Number

pith:OSZEGLJT

pith:2014:OSZEGLJT4U5QZBXKBB4YT4V6RK

not attested not anchored not stored refs pending

Polynomial Ergodic Averages Converge Rapidly: Variations on a Theorem of Bourgain

Ben Krause

arxiv:1402.1803 v1 · 2014-02-08 · math.CA · math.DS · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OSZEGLJT4U5QZBXKBB4YT4V6RK}

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	2026-05-18T02:59:33.512462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74b2432d33e53b0c86ea087989f2be8abd4904401a41e2674ebb43d3d74d0b44

Aliases

arxiv: 1402.1803 · arxiv_version: 1402.1803v1 · doi: 10.48550/arxiv.1402.1803 · pith_short_12: OSZEGLJT4U5Q · pith_short_16: OSZEGLJT4U5QZBXK · pith_short_8: OSZEGLJT

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/OSZEGLJT4U5QZBXKBB4YT4V6RK \
  | 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: 74b2432d33e53b0c86ea087989f2be8abd4904401a41e2674ebb43d3d74d0b44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5261c52cb3b047f3ab04aadb504bbe003a8415d715e03bcfe64321ed08709215",
    "cross_cats_sorted": [
      "math.DS",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-02-08T00:31:30Z",
    "title_canon_sha256": "00a32b6a40441337b87d01f9575084a5a83680732f24f8e2d1b81832097f112d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.1803",
    "kind": "arxiv",
    "version": 1
  }
}