Pith Number

pith:OVBSBWGC

pith:2026:OVBSBWGC6S27DUXB6KU7T6MQLY

not attested not anchored not stored refs pending

Penalty-Free Natural Deep Ritz Method Based on de Rham Complex for High-Dimensional Dirichlet Boundary Value Problems

Haijun Yu, Jiarong Chen, Shuo Zhang, Xia Ji

arxiv:2607.00676 v1 · 2026-07-01 · 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{OVBSBWGC6S27DUXB6KU7T6MQLY}

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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.

Receipt and verification

First computed	2026-07-02T01:17:51.152023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

754320d8c2f4b5f1d2e1f2a9f9f9905e071376b6466feb7a1102992cc52d0d51

Aliases

arxiv: 2607.00676 · arxiv_version: 2607.00676v1 · doi: 10.48550/arxiv.2607.00676 · pith_short_12: OVBSBWGC6S27 · pith_short_16: OVBSBWGC6S27DUXB · pith_short_8: OVBSBWGC

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/OVBSBWGC6S27DUXB6KU7T6MQLY \
  | 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: 754320d8c2f4b5f1d2e1f2a9f9f9905e071376b6466feb7a1102992cc52d0d51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91502d9367cd41d6a13479f23071ecaf31cc5946e1f73d371775c21fa6d78d19",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-07-01T09:20:13Z",
    "title_canon_sha256": "284007b6cc8f8eb2e61621a75f0309e12d0d3e4f1ac6b1ee32e8f24788e38ab5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00676",
    "kind": "arxiv",
    "version": 1
  }
}