Pith Number

pith:KXOO3MPV

pith:2015:KXOO3MPVNH3NHDPRZBO2KDNOMG

not attested not anchored not stored refs pending

Central limit theorem for the modulus of continuity of averages of observables on transversal families of piecewise expanding unimodal maps

Amanda de Lima, Daniel Smania

arxiv:1503.01423 v4 · 2015-03-04 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KXOO3MPVNH3NHDPRZBO2KDNOMG}

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	2026-05-18T01:10:54.471305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55dcedb1f569f6d38df1c85da50dae61a8aa1c305eb8d8dc85a013818f239593

Aliases

arxiv: 1503.01423 · arxiv_version: 1503.01423v4 · doi: 10.48550/arxiv.1503.01423 · pith_short_12: KXOO3MPVNH3N · pith_short_16: KXOO3MPVNH3NHDPR · pith_short_8: KXOO3MPV

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/KXOO3MPVNH3NHDPRZBO2KDNOMG \
  | 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: 55dcedb1f569f6d38df1c85da50dae61a8aa1c305eb8d8dc85a013818f239593

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09bc97c5782abd6e80369c51afaa6589ae7c28a88754de661ac9d6981646c13c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-03-04T19:14:50Z",
    "title_canon_sha256": "216f53cd9d9900b26e44e0f6a3d44e2acf7f23bc2c21689c31656c166af11064"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01423",
    "kind": "arxiv",
    "version": 4
  }
}