Pith Number

pith:LLDE7RTQ

pith:2026:LLDE7RTQVSDTP3GOINH2QMMREP

not attested not anchored not stored refs pending

Higher-order exponential Runge-Kutta Galerkin finite element method for semilinear parabolic problems with nonsmooth data

Jinwei Fang, Runjie Zhang, Shuo Yang, Zhe Yu

arxiv:2606.31231 v1 · 2026-06-30 · 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{LLDE7RTQVSDTP3GOINH2QMMREP}

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	2026-07-01T01:17:56.387290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ac64fc670ac8737ecce434fa8319123e96f3455cb7b700f608ea5260d208ee0

Aliases

arxiv: 2606.31231 · arxiv_version: 2606.31231v1 · doi: 10.48550/arxiv.2606.31231 · pith_short_12: LLDE7RTQVSDT · pith_short_16: LLDE7RTQVSDTP3GO · pith_short_8: LLDE7RTQ

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/LLDE7RTQVSDTP3GOINH2QMMREP \
  | 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: 5ac64fc670ac8737ecce434fa8319123e96f3455cb7b700f608ea5260d208ee0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d4cf9bac30855f52abb38c70d5b63a3066b847092c9ba68e480d7caedaca559",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-06-30T07:08:16Z",
    "title_canon_sha256": "f5a89ae18e70a0ce1192d489728016c05c5ca9c9b0300103bfe7dc2c6713ae69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.31231",
    "kind": "arxiv",
    "version": 1
  }
}