Pith Number

pith:YO7LXJCG

pith:2016:YO7LXJCGVAS6BIQBY3KEMA3UGO

not attested not anchored not stored refs pending

Norm-variation of ergodic averages with respect to two commuting transformations

Christoph Thiele, Kristina Ana \v{S}kreb, Polona Durcik, Vjekoslav Kova\v{c}

arxiv:1603.00631 v3 · 2016-03-02 · 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{YO7LXJCGVAS6BIQBY3KEMA3UGO}

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	2026-05-17T23:55:05.490434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3bebba446a825e0a201c6d44603743397a9a4f5d0a64c5227c9352f986b27ed

Aliases

arxiv: 1603.00631 · arxiv_version: 1603.00631v3 · doi: 10.48550/arxiv.1603.00631 · pith_short_12: YO7LXJCGVAS6 · pith_short_16: YO7LXJCGVAS6BIQB · pith_short_8: YO7LXJCG

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/YO7LXJCGVAS6BIQBY3KEMA3UGO \
  | 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: c3bebba446a825e0a201c6d44603743397a9a4f5d0a64c5227c9352f986b27ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "729d00eb335cd51525a325be72b2cf1d216ec586659bb528c7e8391655087185",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-03-02T09:42:38Z",
    "title_canon_sha256": "bee7551f40f18cf42838aad98fed89d1365963f2c7c8e395d1bd7655e6387294"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.00631",
    "kind": "arxiv",
    "version": 3
  }
}