Pith Number

pith:YXYSCW6Q

pith:2015:YXYSCW6QXNMKSDFWZNGOL77KFC

not attested not anchored not stored refs pending

Generalized Wasserstein distance and weak convergence of sublinear expectations

Xinpeng Li, Yiqing Lin

arxiv:1505.04954 v2 · 2015-05-19 · 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{YXYSCW6QXNMKSDFWZNGOL77KFC}

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	2026-05-18T01:30:50.972224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5f1215bd0bb58a90cb6cb4ce5ffea288140b4813e07776784da2fe33e303dca

Aliases

arxiv: 1505.04954 · arxiv_version: 1505.04954v2 · doi: 10.48550/arxiv.1505.04954 · pith_short_12: YXYSCW6QXNMK · pith_short_16: YXYSCW6QXNMKSDFW · pith_short_8: YXYSCW6Q

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/YXYSCW6QXNMKSDFWZNGOL77KFC \
  | 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: c5f1215bd0bb58a90cb6cb4ce5ffea288140b4813e07776784da2fe33e303dca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eee2633d25b3412447595b266887cfb9ff38fa0655e7699d5041c1ca5a6c6820",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-05-19T11:00:32Z",
    "title_canon_sha256": "f85a1d4292f18d86daabb54c570253fd402fc66d086edb5cb7c86b3c0e52654d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.04954",
    "kind": "arxiv",
    "version": 2
  }
}