Pith Number

pith:NDLLMVY2

pith:2020:NDLLMVY2THOZGRJQWHKUVRALDG

not attested not anchored not stored refs pending

Pointwise convergence of certain continuous-time double ergodic averages

Joris Roos, Michael Christ, Polona Durcik, Vjekoslav Kova\v{c}

arxiv:2011.06370 v2 · 2020-11-12 · math.DS · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NDLLMVY2THOZGRJQWHKUVRALDG}

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	2026-07-05T04:37:01.156654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68d6b6571a99dd934530b1d54ac40b19b2b30fcd93f8c8ce03f8f4515e192c91

Aliases

arxiv: 2011.06370 · arxiv_version: 2011.06370v2 · doi: 10.48550/arxiv.2011.06370 · pith_short_12: NDLLMVY2THOZ · pith_short_16: NDLLMVY2THOZGRJQ · pith_short_8: NDLLMVY2

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/NDLLMVY2THOZGRJQWHKUVRALDG \
  | 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: 68d6b6571a99dd934530b1d54ac40b19b2b30fcd93f8c8ce03f8f4515e192c91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85964c4a1df7cc0bdfdbfc7a104fd92090f36b3fbb4ae03b960964fffc7d1bc4",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2020-11-12T13:31:01Z",
    "title_canon_sha256": "45b42c0cb34df38367385068a5de080fa287c3940d1de8f171ac4cc5d979f80f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.06370",
    "kind": "arxiv",
    "version": 2
  }
}