Pith Number

pith:H4ASKRLM

pith:2026:H4ASKRLMIXEFBWNK62ME2CUVQU

not attested not anchored not stored refs pending

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation

Ding-Xuan Zhou, Jun Fan, Nathanael Tepakbong, Xiang Zhou

arxiv:2607.19167 v1 · 2026-07-21 · math.NA · cs.LG · cs.NA · math.ST · stat.ML · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H4ASKRLMIXEFBWNK62ME2CUVQU}

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	2026-07-22T01:24:11.890583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f0125456c45c850d9aaf6984d0a95852fb0c2e175298081fc048abc539c4bce

Aliases

arxiv: 2607.19167 · arxiv_version: 2607.19167v1 · doi: 10.48550/arxiv.2607.19167 · pith_short_12: H4ASKRLMIXEF · pith_short_16: H4ASKRLMIXEFBWNK · pith_short_8: H4ASKRLM

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/H4ASKRLMIXEFBWNK62ME2CUVQU \
  | 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: 3f0125456c45c850d9aaf6984d0a95852fb0c2e175298081fc048abc539c4bce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0f60db52776a852b8d06f63fba4e21a629c805d020f2a5f4e4776c0f01f541f",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "math.ST",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-07-21T15:03:42Z",
    "title_canon_sha256": "e6262bc86b08ed40ee9b9263a31de4bb25bd2fd9ce27223e1dcd36c5fa9d496a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19167",
    "kind": "arxiv",
    "version": 1
  }
}