Pith Number

pith:WFLUY7FJ

pith:2023:WFLUY7FJWAAPCWT3U3XKFBXPKA

not attested not anchored not stored refs pending

Wasserstein convergence rates in the invariance principle for sequential dynamical systems

Zhenxin Liu, Zhe Wang

arxiv:2307.13913 v2 · 2023-07-26 · 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{WFLUY7FJWAAPCWT3U3XKFBXPKA}

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.

Cited by

1 paper in Pith

Prokhorov Metric Convergence of the Partial Sum Process for Reconstructed Functional Data

Receipt and verification

First computed	2026-07-05T09:26:55.426425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1574c7ca9b000f15a7ba6eea286ef5016c80d978bfcbe4774ea39af72007b2a

Aliases

arxiv: 2307.13913 · arxiv_version: 2307.13913v2 · doi: 10.48550/arxiv.2307.13913 · pith_short_12: WFLUY7FJWAAP · pith_short_16: WFLUY7FJWAAPCWT3 · pith_short_8: WFLUY7FJ

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/WFLUY7FJWAAPCWT3U3XKFBXPKA \
  | 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: b1574c7ca9b000f15a7ba6eea286ef5016c80d978bfcbe4774ea39af72007b2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4c3c701c4b25ad1ff0f2588ef33e79d27e629b555944e5882ad793659a18d72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2023-07-26T02:27:58Z",
    "title_canon_sha256": "367d5fc65d30bbf5bfbc0a874ef54c6f45cf4683501577c7a53471bb71948fc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.13913",
    "kind": "arxiv",
    "version": 2
  }
}