Pith Number

pith:Y56GVSPM

pith:2018:Y56GVSPM6JDPUKXI4XWZA7CMEZ

not attested not anchored not stored refs pending

Existence and uniqueness of variational solution to the Neumann problem for the pth sub-Laplacian associated to a system of H\"ormander vector fields

Duy-Minh Nhieu

arxiv:1808.00849 v1 · 2018-08-02 · 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{Y56GVSPM6JDPUKXI4XWZA7CMEZ}

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	2026-05-18T00:09:01.220725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c77c6ac9ecf246fa2ae8e5ed907c4c266af164f1c81a45ebd16df6f2cab6a853

Aliases

arxiv: 1808.00849 · arxiv_version: 1808.00849v1 · doi: 10.48550/arxiv.1808.00849 · pith_short_12: Y56GVSPM6JDP · pith_short_16: Y56GVSPM6JDPUKXI · pith_short_8: Y56GVSPM

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/Y56GVSPM6JDPUKXI4XWZA7CMEZ \
  | 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: c77c6ac9ecf246fa2ae8e5ed907c4c266af164f1c81a45ebd16df6f2cab6a853

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2580f3dfe79d2ac1353bc209b9fd9b411bcecbdb81f0a83f6093ab2cb08da24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-08-02T15:07:31Z",
    "title_canon_sha256": "ab8e901b792dd7b3960cb6d645639bc9d5416878cefff45f2f15072824df95d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.00849",
    "kind": "arxiv",
    "version": 1
  }
}