Pith Number

pith:JWITULQF

pith:2020:JWITULQFKLUUK2UX7RYZR5WCLJ

not attested not anchored not stored refs pending

"Hey, that's not an ODE": Faster ODE Adjoints via Seminorms

Patrick Kidger, Ricky T. Q. Chen, Terry Lyons

arxiv:2009.09457 v2 · 2020-09-20 · cs.LG · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JWITULQFKLUUK2UX7RYZR5WCLJ}

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	2026-07-05T02:38:51.817787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d913a2e0552e9456a97fc7198f6c25a53b23094184213c8a2deb523792ee85e

Aliases

arxiv: 2009.09457 · arxiv_version: 2009.09457v2 · doi: 10.48550/arxiv.2009.09457 · pith_short_12: JWITULQFKLUU · pith_short_16: JWITULQFKLUUK2UX · pith_short_8: JWITULQF

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/JWITULQFKLUUK2UX7RYZR5WCLJ \
  | 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: 4d913a2e0552e9456a97fc7198f6c25a53b23094184213c8a2deb523792ee85e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "241fdc0d1ea9384d4e188413a229c520830b29c5070f9e7da6220907a4a75f2d",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2020-09-20T15:42:32Z",
    "title_canon_sha256": "023b9e6d79c2530963c961d6df5ab39bed6e4157e7a0be2ec450a9395899f9e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.09457",
    "kind": "arxiv",
    "version": 2
  }
}