Pith Number

pith:ZNPYY7QE

pith:2021:ZNPYY7QEHAXDTYCGFHFRA752ZU

not attested not anchored not stored refs pending

Stiff Neural Ordinary Differential Equations

Christopher Rackauckas, Sili Deng, Suyong Kim, Weiqi Ji, Yingbo Ma

arxiv:2103.15341 v3 · 2021-03-29 · math.NA · cs.LG · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZNPYY7QEHAXDTYCGFHFRA752ZU}

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	2026-07-05T03:19:07.521073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb5f8c7e04382e39e04629cb107fbacd08df8c0ccf224fd680b895248c0f722d

Aliases

arxiv: 2103.15341 · arxiv_version: 2103.15341v3 · doi: 10.48550/arxiv.2103.15341 · pith_short_12: ZNPYY7QEHAXD · pith_short_16: ZNPYY7QEHAXDTYCG · pith_short_8: ZNPYY7QE

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/ZNPYY7QEHAXDTYCGFHFRA752ZU \
  | 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: cb5f8c7e04382e39e04629cb107fbacd08df8c0ccf224fd680b895248c0f722d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3e929825d8b7f6c58049b945fcc73c35888c66dcbd6855ca9d9e5448f68519c",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-03-29T05:24:56Z",
    "title_canon_sha256": "55714a7cbb973c3edc05d7409d8c51f86a45e0c8e994eb5940e04146c9ee6f5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.15341",
    "kind": "arxiv",
    "version": 3
  }
}