Pith Number

pith:ID3YCBKC

pith:2018:ID3YCBKCVXDYOCXYYZPFPV3PIE

not attested not anchored not stored refs pending

PDE-Net 2.0: Learning PDEs from Data with A Numeric-Symbolic Hybrid Deep Network

Bin Dong, Yiping Lu, Zichao Long

arxiv:1812.04426 v2 · 2018-11-30 · cs.LG · cs.NA · math.NA · physics.comp-ph · 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{ID3YCBKCVXDYOCXYYZPFPV3PIE}

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

Stability selection enables robust learning of partial differential equations from limited noisy data

Receipt and verification

First computed	2026-06-04T20:13:47.078678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40f7810542adc7870af8c65e57d76f410f84bf76ed57dd8713364acc557e326a

Aliases

arxiv: 1812.04426 · arxiv_version: 1812.04426v2 · doi: 10.48550/arxiv.1812.04426 · pith_short_12: ID3YCBKCVXDY · pith_short_16: ID3YCBKCVXDYOCXY · pith_short_8: ID3YCBKC

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/ID3YCBKCVXDYOCXYYZPFPV3PIE \
  | 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: 40f7810542adc7870af8c65e57d76f410f84bf76ed57dd8713364acc557e326a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3589f18b80b573dc93ab411695c348d4e0ef5e6d9a97d7e97ef7ed91bf6d40c",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "physics.comp-ph",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2018-11-30T13:15:49Z",
    "title_canon_sha256": "eb3f343d8e9f43346dc0eb3ae1c20d9b908e2e789e4c8d0fe171ce68e6d32dfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.04426",
    "kind": "arxiv",
    "version": 2
  }
}