Pith Number

pith:3VF4MLZZ

pith:2025:3VF4MLZZXJ6ZUWQA2YYXIYUEJR

not attested not anchored not stored refs pending

Adaptive Crouzeix-Raviart finite elements for the first eigenpair of $p$-Laplacian

Guanglian Li, Yifeng Xu, Yueqi Wang

arxiv:2508.02077 v1 · 2025-08-04 · 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{3VF4MLZZXJ6ZUWQA2YYXIYUEJR}

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.

Cited by

1 paper in Pith

Dual Variational Neural Network for the $p$-Laplace Problem

Receipt and verification

First computed	2026-07-05T11:47:50.486970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd4bc62f39ba7d9a5a00d6317462844c6c15dcea2de5bee93f791500cc7e93cf

Aliases

arxiv: 2508.02077 · arxiv_version: 2508.02077v1 · doi: 10.48550/arxiv.2508.02077 · pith_short_12: 3VF4MLZZXJ6Z · pith_short_16: 3VF4MLZZXJ6ZUWQA · pith_short_8: 3VF4MLZZ

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/3VF4MLZZXJ6ZUWQA2YYXIYUEJR \
  | 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: dd4bc62f39ba7d9a5a00d6317462844c6c15dcea2de5bee93f791500cc7e93cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e69bf26d57883fcda7db00c97254148a57ccea2e8c4d74ccd0ff0a74e71ae3c0",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-08-04T05:36:33Z",
    "title_canon_sha256": "18e0e953ac29cfd488b5d49fecf2eca70d3a3d573cd2afb9808852b10d166bd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.02077",
    "kind": "arxiv",
    "version": 1
  }
}