Pith Number

pith:X36PH6PZ

pith:2017:X36PH6PZH4UACUQ5E2FDHEDWFU

not attested not anchored not stored refs pending

Exponential convergence in the Wasserstein metric $W_1$ for one dimensional diffusions

Liming Wu, Lingyan Cheng, Ruinan Li

arxiv:1703.00507 v1 · 2017-03-01 · 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{X36PH6PZH4UACUQ5E2FDHEDWFU}

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	2026-05-18T00:49:41.490594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

befcf3f9f93f2801521d268a3390762d08dc75418e8a7b953e3da29f9567b34e

Aliases

arxiv: 1703.00507 · arxiv_version: 1703.00507v1 · doi: 10.48550/arxiv.1703.00507 · pith_short_12: X36PH6PZH4UA · pith_short_16: X36PH6PZH4UACUQ5 · pith_short_8: X36PH6PZ

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/X36PH6PZH4UACUQ5E2FDHEDWFU \
  | 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: befcf3f9f93f2801521d268a3390762d08dc75418e8a7b953e3da29f9567b34e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d81d2642d105b82ed056917ac95667f6a1b82a84397221e0bae9aff8a45c1e1f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-03-01T21:07:59Z",
    "title_canon_sha256": "0978e5b8f8fee7003911b73eac3b31a787d013aa2c3159966b7b034951ddce21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.00507",
    "kind": "arxiv",
    "version": 1
  }
}