Pith Number

pith:BGZMF22M

pith:2026:BGZMF22MGW2ZNZU2ZF54JKCFJR

not attested not anchored not stored refs pending

Adaptive Hard-Soft Physics-Informed Neural Networks for Robust Boundary-Constrained PDE Solving

Dinh Gia Ninh, Duc Tien Nguyen, Nguyen Duc Manh, Trinh Minh Tuan, Vu Linh Nguyen

arxiv:2606.23359 v1 · 2026-06-22 · cs.LG · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BGZMF22MGW2ZNZU2ZF54JKCFJR}

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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	2026-06-23T03:14:17.755597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09b2c2eb4c35b596e69ac97bc4a8454c503f01db9b1cb0b96d26b383eb2f2aab

Aliases

arxiv: 2606.23359 · arxiv_version: 2606.23359v1 · doi: 10.48550/arxiv.2606.23359 · pith_short_12: BGZMF22MGW2Z · pith_short_16: BGZMF22MGW2ZNZU2 · pith_short_8: BGZMF22M

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/BGZMF22MGW2ZNZU2ZF54JKCFJR \
  | 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: 09b2c2eb4c35b596e69ac97bc4a8454c503f01db9b1cb0b96d26b383eb2f2aab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3275dc3f776c5bdf537c6ae4d204fb043633b49ddbf801a08a75b1a44445aa81",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-22T13:58:56Z",
    "title_canon_sha256": "ad439c9938a739d7803598cb067e0addc650e859b336cb396e7d918814a8ce7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23359",
    "kind": "arxiv",
    "version": 1
  }
}