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Pith Number

pith:XBG6CV7U

pith:2015:XBG6CV7UODOAXMUF7WGMNRRPIR
not attested not anchored not stored refs pending

Global regularity for the free boundary in the obstacle problem for the fractional Laplacian

Alessio Figalli, Bego\~na Barrios, Xavier Ros-Oton

arxiv:1506.04684 v2 · 2015-06-15 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XBG6CV7UODOAXMUF7WGMNRRPIR}

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 2026-05-18T00:45:04.311573Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b84de157f470dc0bb285fd8cc6c62f4475a8c4be23af66d6fdb416c46f2be6f3

Aliases

arxiv: 1506.04684 · arxiv_version: 1506.04684v2 · doi: 10.48550/arxiv.1506.04684 · pith_short_12: XBG6CV7UODOA · pith_short_16: XBG6CV7UODOAXMUF · pith_short_8: XBG6CV7U
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XBG6CV7UODOAXMUF7WGMNRRPIR \
  | 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: b84de157f470dc0bb285fd8cc6c62f4475a8c4be23af66d6fdb416c46f2be6f3
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e33e49ed636be6df12e75344e02df293beafa69f38438cbce3564440aa56bd98",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-15T17:58:44Z",
    "title_canon_sha256": "78a025b8a97b29053028e37cebabbd194e98cddd2b41b3059e172a9c208cabb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04684",
    "kind": "arxiv",
    "version": 2
  }
}