Pith Number

pith:WGKMHBKA

pith:2018:WGKMHBKAKKI74L3KECPPRLEECV

not attested not anchored not stored refs pending

Dirichlet conditions in Poincar\'e-Sobolev inequalities: the sub-homogeneous case

Davide Zucco

arxiv:1810.06384 v2 · 2018-10-11 · math.AP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WGKMHBKAKKI74L3KECPPRLEECV}

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	2026-05-17T23:49:50.706203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b194c385405291fe2f6a209ef8ac84154f5c17945cabfa54097b9b44ca0f892c

Aliases

arxiv: 1810.06384 · arxiv_version: 1810.06384v2 · doi: 10.48550/arxiv.1810.06384 · pith_short_12: WGKMHBKAKKI7 · pith_short_16: WGKMHBKAKKI74L3K · pith_short_8: WGKMHBKA

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/WGKMHBKAKKI74L3KECPPRLEECV \
  | 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: b194c385405291fe2f6a209ef8ac84154f5c17945cabfa54097b9b44ca0f892c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54e10db08d1c05eae2946ea929189edbe362556c9eb6e668fab34919f3e717e2",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-11T21:19:55Z",
    "title_canon_sha256": "218b22768cc03831311f8a4585f87340a09976a1d91bbb5f10a68cf01a658d51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.06384",
    "kind": "arxiv",
    "version": 2
  }
}