Pith Number

pith:HJ5BNCTX

pith:2021:HJ5BNCTXU5BYAXMH23GRSPPDCB

not attested not anchored not stored refs pending

A Priori Analysis of Stable Neural Network Solutions to Numerical PDEs

Jinchao Xu, Jonathan W. Siegel, Qingguo Hong

arxiv:2104.02903 v4 · 2021-04-07 · 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{HJ5BNCTXU5BYAXMH23GRSPPDCB}

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

PINN-DG: Residual neural network methods trained with Finite Elements

Receipt and verification

First computed	2026-07-05T04:40:06.819523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a7a168a77a743805d87d6cd193de31062b1ccc59dd78b3e07a131513e926c87

Aliases

arxiv: 2104.02903 · arxiv_version: 2104.02903v4 · doi: 10.48550/arxiv.2104.02903 · pith_short_12: HJ5BNCTXU5BY · pith_short_16: HJ5BNCTXU5BYAXMH · pith_short_8: HJ5BNCTX

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/HJ5BNCTXU5BYAXMH23GRSPPDCB \
  | 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: 3a7a168a77a743805d87d6cd193de31062b1ccc59dd78b3e07a131513e926c87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8427ae08ac3b5303c3274fd0196fe287d8b16f0ce975d1baec416bcbaf90293",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-04-07T04:02:59Z",
    "title_canon_sha256": "c18302383539704fa4e8f229fd1daa914fbd321d4f6231e1c78977ba6cd969fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.02903",
    "kind": "arxiv",
    "version": 4
  }
}