pith. sign in
Pith Number

pith:2UKD3U53

pith:2015:2UKD3U53LBNJVM4TKT43DD42CG
not attested not anchored not stored refs pending

Self-adjoint elliptic operators with boundary conditions on not closed hypersurfaces

A. Mantile, A. Posilicano, M. Sini

arxiv:1505.07236 v5 · 2015-05-27 · math.AP · math-ph · math.FA · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2UKD3U53LBNJVM4TKT43DD42CG}

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 2026-05-18T01:17:25.695973Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d5143dd3bb585a9ab39354f9b18f9a11a109c9f913b989fba077d58700ba1884

Aliases

arxiv: 1505.07236 · arxiv_version: 1505.07236v5 · doi: 10.48550/arxiv.1505.07236 · pith_short_12: 2UKD3U53LBNJ · pith_short_16: 2UKD3U53LBNJVM4T · pith_short_8: 2UKD3U53
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2UKD3U53LBNJVM4TKT43DD42CG \
  | 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: d5143dd3bb585a9ab39354f9b18f9a11a109c9f913b989fba077d58700ba1884
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e9e62d80bd9fd379149f735a717ae6166d0050eca6388ff5f0e35092b742cd26",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-05-27T09:34:29Z",
    "title_canon_sha256": "5a18b30c6727e3f4075bf6b8533412153136a5c64343a16a69b04a9a3f1d9421"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07236",
    "kind": "arxiv",
    "version": 5
  }
}