Pith Number

pith:WDNRPLBW

pith:2019:WDNRPLBWFPE7ZVAXOOK76UVUIY

not attested not anchored not stored refs pending

Learning stochastic differential equations using RNN with log signature features

Hao Ni, Shujian Liao, Terry Lyons, Weixin Yang

arxiv:1908.08286 v2 · 2019-08-22 · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WDNRPLBWFPE7ZVAXOOK76UVUIY}

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

Tropical time series, iterated-sums signatures and quasisymmetric functions

Receipt and verification

First computed	2026-07-05T00:06:10.588412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0db17ac362bc9fcd4177395ff52b4463b410ce56c1756d9c33ac1efb73136e2

Aliases

arxiv: 1908.08286 · arxiv_version: 1908.08286v2 · doi: 10.48550/arxiv.1908.08286 · pith_short_12: WDNRPLBWFPE7 · pith_short_16: WDNRPLBWFPE7ZVAX · pith_short_8: WDNRPLBW

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/WDNRPLBWFPE7ZVAXOOK76UVUIY \
  | 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: b0db17ac362bc9fcd4177395ff52b4463b410ce56c1756d9c33ac1efb73136e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5dac390348257b1768b6f9d2299399257046fc574ad8c7665939faa1d8b9893",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2019-08-22T09:58:58Z",
    "title_canon_sha256": "46f505d0a7c86ec942f312ee9c0a398a7fe4980d02eb8d4ff733290e13bd7c3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08286",
    "kind": "arxiv",
    "version": 2
  }
}