Pith Number

pith:4B44JMKW

pith:2026:4B44JMKWJA2EK5IU6EYMCKS7OJ

not attested not anchored not stored refs pending

Geometry-aware LegONet for PDE Learning on Arbitrary Domains

Guang Lin, Jiahao Zhang, Yueqi Wang

arxiv:2607.23069 v1 · 2026-07-25 · 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{4B44JMKWJA2EK5IU6EYMCKS7OJ}

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	2026-07-28T00:22:10.900630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e079c4b1564834457514f130c12a5f72407a1c26ab50345a4b6cf9baed10de61

Aliases

arxiv: 2607.23069 · arxiv_version: 2607.23069v1 · doi: 10.48550/arxiv.2607.23069 · pith_short_12: 4B44JMKWJA2E · pith_short_16: 4B44JMKWJA2EK5IU · pith_short_8: 4B44JMKW

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/4B44JMKWJA2EK5IU6EYMCKS7OJ \
  | 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: e079c4b1564834457514f130c12a5f72407a1c26ab50345a4b6cf9baed10de61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b547a67a6c19e9025c1fa7d05d245f4f04b5ec5dbe461f4534dd5a0ae871330e",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-07-25T06:35:11Z",
    "title_canon_sha256": "c3f9964be606e99725383be82bfebc897f1fa52427df3ec20b5196a8acfc8357"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.23069",
    "kind": "arxiv",
    "version": 1
  }
}