Pith Number

pith:DW66TTDX

pith:2026:DW66TTDXYSET5KTNSI6YP4XAYK

not attested not anchored not stored refs pending

Verified residual-specific explicit derivative kernels for physics-informed learning and discretized PDE adjoints

Weiwei Zhang, Wenbo Cao, Zhe Lu

arxiv:2606.29702 v1 · 2026-06-29 · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DW66TTDXYSET5KTNSI6YP4XAYK}

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	2026-06-30T02:17:31.232310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dbde9cc77c4893eaa6d923d87f2e0c2b1bc32d1e91e9e156613d35e0c50698f

Aliases

arxiv: 2606.29702 · arxiv_version: 2606.29702v1 · doi: 10.48550/arxiv.2606.29702 · pith_short_12: DW66TTDXYSET · pith_short_16: DW66TTDXYSET5KTN · pith_short_8: DW66TTDX

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/DW66TTDXYSET5KTNSI6YP4XAYK \
  | 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: 1dbde9cc77c4893eaa6d923d87f2e0c2b1bc32d1e91e9e156613d35e0c50698f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d542402e750c9d2a2a80d71cc9a953e09d852b51ce9973bee9281cbedc3c32d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2026-06-29T02:09:56Z",
    "title_canon_sha256": "6cca2c8e24f820228fe3ca7dd94e8647e75cdfc6c2c14ff7b129636e24fcd6b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29702",
    "kind": "arxiv",
    "version": 1
  }
}