Pith Number

pith:YDAWZVS5

pith:2020:YDAWZVS5HEEAHJUIU3EQBCQJZ6

not attested not anchored not stored refs pending

A comparison study of deep Galerkin method and deep Ritz method for elliptic problems with different boundary conditions

Jingrun Chen, Keke Wu, Rui Du

arxiv:2005.04554 v3 · 2020-05-10 · 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{YDAWZVS5HEEAHJUIU3EQBCQJZ6}

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	2026-07-05T01:22:18.597337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0c16cd65d390803a688a6c9008a09cfa01417867ac1f385604c0f35a2b83a30

Aliases

arxiv: 2005.04554 · arxiv_version: 2005.04554v3 · doi: 10.48550/arxiv.2005.04554 · pith_short_12: YDAWZVS5HEEA · pith_short_16: YDAWZVS5HEEAHJUI · pith_short_8: YDAWZVS5

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/YDAWZVS5HEEAHJUIU3EQBCQJZ6 \
  | 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: c0c16cd65d390803a688a6c9008a09cfa01417867ac1f385604c0f35a2b83a30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0278b72bad6f2d44f1e6c3008e8a2112efa7ef0c005d661754af40c8ae494d32",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2020-05-10T02:34:49Z",
    "title_canon_sha256": "525ae547f484f9b51061e9f326d7f5cac2e4f174ebb6845063d2a26e1f8894bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.04554",
    "kind": "arxiv",
    "version": 3
  }
}