Pith Number

pith:OBR7R2GU

pith:2026:OBR7R2GUG7XZJEN4WX26TQCENY

not attested not anchored not stored refs pending

Physics-Informed Neural Networks with Attention Feature Expansion for Monge-Amp\`ere Equations

Anxiao Yu, Bangmin Wu, Dongwoo Sheen, Xinlong Feng, Zhengbang Zha

arxiv:2605.22115 v1 · 2026-05-21 · 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{OBR7R2GUG7XZJEN4WX26TQCENY}

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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	2026-05-22T01:04:26.628216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7063f8e8d437ef9491bcb5f5e9c0446e1aab8d7876ed004d435687ee8687f83b

Aliases

arxiv: 2605.22115 · arxiv_version: 2605.22115v1 · doi: 10.48550/arxiv.2605.22115 · pith_short_12: OBR7R2GUG7XZ · pith_short_16: OBR7R2GUG7XZJEN4 · pith_short_8: OBR7R2GU

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/OBR7R2GUG7XZJEN4WX26TQCENY \
  | 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: 7063f8e8d437ef9491bcb5f5e9c0446e1aab8d7876ed004d435687ee8687f83b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ad0202765da1e76d0936065e217cd64eef46c700d18b34775c2e62a795401c6",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-05-21T07:47:35Z",
    "title_canon_sha256": "7768cfa5accd1ad51fec04ef8590bbce28222140d5501260e96b93b9f46bbf76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22115",
    "kind": "arxiv",
    "version": 1
  }
}