Pith Number

pith:VAPEY6ZT

pith:2024:VAPEY6ZTPY2NKO2TG7VR7DEJFV

not attested not anchored not stored refs pending

Adaptive Basis-inspired Deep Neural Network for Solving Partial Differential Equations with Localized Features

Chenyue Xie, Ke Li, Xueshuang Xiang, Yaqin Zhang, Yunqing Huang

arxiv:2412.00636 v1 · 2024-12-01 · 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{VAPEY6ZTPY2NKO2TG7VR7DEJFV}

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	2026-07-05T09:42:44.543179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a81e4c7b337e34d53b5337eb1f8c892d5219076d1f07afe3d97e52eb47bbe3c0

Aliases

arxiv: 2412.00636 · arxiv_version: 2412.00636v1 · doi: 10.48550/arxiv.2412.00636 · pith_short_12: VAPEY6ZTPY2N · pith_short_16: VAPEY6ZTPY2NKO2T · pith_short_8: VAPEY6ZT

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/VAPEY6ZTPY2NKO2TG7VR7DEJFV \
  | 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: a81e4c7b337e34d53b5337eb1f8c892d5219076d1f07afe3d97e52eb47bbe3c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eec276ec83812c79b16378aa369b0544f5fa5ea515af85295e7fbdd10e919bb0",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2024-12-01T01:23:42Z",
    "title_canon_sha256": "b2e9ef96ccdbd9f9041e8198e48a42a86c72c25fedeb68697bfe1ca39523b9bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.00636",
    "kind": "arxiv",
    "version": 1
  }
}