Pith Number

pith:XTBLJCQQ

pith:2012:XTBLJCQQU2QW6AXFX534FSIJK6

not attested not anchored not stored refs pending

Rates in the strong invariance principle for ergodic automorphisms of the torus

Florence Merlev\`ede (LAMA), Francoise Pene (LM), J\'er\^ome Dedecker (MAP5)

arxiv:1206.4336 v1 · 2012-06-19 · math.DS · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XTBLJCQQU2QW6AXFX534FSIJK6}

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	2026-05-18T03:53:06.186728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcc2b48a10a6a16f02e5bf77c2c909578a25872b28776a92166746d3a3c9417d

Aliases

arxiv: 1206.4336 · arxiv_version: 1206.4336v1 · doi: 10.48550/arxiv.1206.4336 · pith_short_12: XTBLJCQQU2QW · pith_short_16: XTBLJCQQU2QW6AXF · pith_short_8: XTBLJCQQ

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/XTBLJCQQU2QW6AXFX534FSIJK6 \
  | 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: bcc2b48a10a6a16f02e5bf77c2c909578a25872b28776a92166746d3a3c9417d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ef211380e6f200358f48ed54520dfe1c2429ad46da17d63962a190caf550a81",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-06-19T20:48:25Z",
    "title_canon_sha256": "35abd7edf4600ca7b80b8d557aacc63f8975fc0e63c2203fc75bbcb489fb4625"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4336",
    "kind": "arxiv",
    "version": 1
  }
}