Pith Number

pith:H65AETRK

pith:2012:H65AETRKMUNND46D2JBQLEH3X4

not attested not anchored not stored refs pending

Empirical central limit theorems for ergodic automorphisms of the torus

F. Merlev\`ede, F. P\`ene, J. Dedecker

arxiv:1210.3546 v2 · 2012-10-12 · 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{H65AETRKMUNND46D2JBQLEH3X4}

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	2026-05-18T03:11:59.307686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fba024e2a651ad1f3c3d2430590fbbf153247733cc81b7189e41be1fdfa5da6

Aliases

arxiv: 1210.3546 · arxiv_version: 1210.3546v2 · doi: 10.48550/arxiv.1210.3546 · pith_short_12: H65AETRKMUNN · pith_short_16: H65AETRKMUNND46D · pith_short_8: H65AETRK

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/H65AETRKMUNND46D2JBQLEH3X4 \
  | 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: 3fba024e2a651ad1f3c3d2430590fbbf153247733cc81b7189e41be1fdfa5da6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "193df537086774b27c7cc83e6d0a21a1580256dba97df77682503958a600351b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-12T15:05:15Z",
    "title_canon_sha256": "499c124c31c9cf3820c5fdd91286bb27b572a79c4ae2d027c8c202cc71138105"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3546",
    "kind": "arxiv",
    "version": 2
  }
}