Pith Number

pith:VYWOJD4E

pith:2026:VYWOJD4EXU25YUGGYURZFU22NY

not attested not anchored not stored refs pending

Sharp spectral estimates for free boundary problems arising in plasma physics

Aleks Jevnikar, Daniele Bartolucci, Juncheng Wei, Ruijun Wu

arxiv:2604.01895 v1 · 2026-04-02 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VYWOJD4EXU25YUGGYURZFU22NY}

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	2026-07-14T00:18:24.942184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae2ce48f84bd35dc50c6c52392d35a6e1fa9410c198661e4b28c53aa49214a0f

Aliases

arxiv: 2604.01895 · arxiv_version: 2604.01895v1 · doi: 10.48550/arxiv.2604.01895 · pith_short_12: VYWOJD4EXU25 · pith_short_16: VYWOJD4EXU25YUGG · pith_short_8: VYWOJD4E

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/VYWOJD4EXU25YUGGYURZFU22NY \
  | 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: ae2ce48f84bd35dc50c6c52392d35a6e1fa9410c198661e4b28c53aa49214a0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77b1464a0cfe917e7455ffc7e7c148208729e23a5cd515303cfb5a952a19339e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-04-02T10:59:55Z",
    "title_canon_sha256": "fc827c47f8648a0a35660de9ce97ad938e748849a32951da3c00dd348c8ee9aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.01895",
    "kind": "arxiv",
    "version": 1
  }
}