Pith Number

pith:C6DFJ4OB

pith:2024:C6DFJ4OBRTHIYRHS6ZDJQ5VVUH

not attested not anchored not stored refs pending

A Deep Uzawa-Lagrange Multiplier Approach for Boundary Conditions in PINNs and Deep Ritz Methods

Aaron Pim, Charalambos G. Makridakis, Tristan Pryer

arxiv:2411.08702 v2 · 2024-11-13 · math.NA · cs.NA

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\usepackage{pith}
\pithnumber{C6DFJ4OBRTHIYRHS6ZDJQ5VVUH}

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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

A posteriori certification for neural network approximations to PDEs

Receipt and verification

First computed	2026-07-05T09:35:15.392067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

178654f1c18cce8c44f2f6469876b5a1d9c82a554056264c9aeb1366e2c8b541

Aliases

arxiv: 2411.08702 · arxiv_version: 2411.08702v2 · doi: 10.48550/arxiv.2411.08702 · pith_short_12: C6DFJ4OBRTHI · pith_short_16: C6DFJ4OBRTHIYRHS · pith_short_8: C6DFJ4OB

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/C6DFJ4OBRTHIYRHS6ZDJQ5VVUH \
  | 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: 178654f1c18cce8c44f2f6469876b5a1d9c82a554056264c9aeb1366e2c8b541

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c221187a23a7d8ecc94d1fa777ef6cd5fad844fa50b47be2b10662f822d09ec",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2024-11-13T15:43:08Z",
    "title_canon_sha256": "167ece4f9311bac4b019354f926798f3630684cd7775076592faaf67d56b6acf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.08702",
    "kind": "arxiv",
    "version": 2
  }
}