Pith Number

pith:56KBWDHG

pith:2020:56KBWDHGHZUBEVOWI7INPHOQFA

not attested not anchored not stored refs pending

Deep Euler method: solving ODEs by approximating the local truncation error of the Euler method

Kewei Liang, Xiaoliang Cheng, Xing Shen

arxiv:2003.09573 v1 · 2020-03-21 · math.NA · 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{56KBWDHGHZUBEVOWI7INPHOQFA}

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

Algorithmically Designed Artificial Neural Networks (ADANNs): Higher order deep operator learning for parametric partial differential equations

Receipt and verification

First computed	2026-07-05T00:49:44.888405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef941b0ce63e681255d647d0d79dd0280927f59214ccde4a4f70108409f0f6b5

Aliases

arxiv: 2003.09573 · arxiv_version: 2003.09573v1 · doi: 10.48550/arxiv.2003.09573 · pith_short_12: 56KBWDHGHZUB · pith_short_16: 56KBWDHGHZUBEVOW · pith_short_8: 56KBWDHG

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/56KBWDHGHZUBEVOWI7INPHOQFA \
  | 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: ef941b0ce63e681255d647d0d79dd0280927f59214ccde4a4f70108409f0f6b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3bf4a11a958eec9bb482408184b8b782c6cbf10b4d5e5c104d799c29c7a1447",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2020-03-21T04:08:12Z",
    "title_canon_sha256": "826bb85f78678f8feb1cf95f1024fef5c86c6abef414c8a381916a8d7c314483"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.09573",
    "kind": "arxiv",
    "version": 1
  }
}