Pith Number

pith:2HVAQ6HG

pith:2025:2HVAQ6HGGTUOHZ3X6MU2723STV

not attested not anchored not stored refs pending

$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem

Runcao Lyu

arxiv:2509.00609 v2 · 2025-08-30 · 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{2HVAQ6HGGTUOHZ3X6MU2723STV}

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	2026-07-05T12:03:52.380787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1ea0878e634e8e3e777f329afeb729d668593d27f27de4986c0173b1cfb50f3

Aliases

arxiv: 2509.00609 · arxiv_version: 2509.00609v2 · doi: 10.48550/arxiv.2509.00609 · pith_short_12: 2HVAQ6HGGTUO · pith_short_16: 2HVAQ6HGGTUOHZ3X · pith_short_8: 2HVAQ6HG

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/2HVAQ6HGGTUOHZ3X6MU2723STV \
  | 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: d1ea0878e634e8e3e777f329afeb729d668593d27f27de4986c0173b1cfb50f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecd70b36cc67c59bbc4a223a73e7e12f5386942b6db39010f40d3050e0105531",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-08-30T21:17:29Z",
    "title_canon_sha256": "d7e107a34d98b77914c4176efcdc025f1bde6f7152bf06e0440d19ab9804df19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.00609",
    "kind": "arxiv",
    "version": 2
  }
}