Pith Number

pith:JTFPDCWD

pith:2014:JTFPDCWDEDNNSRW4KBKNL2JV7B

not attested not anchored not stored refs pending

Hardy inequalities for p-Laplacians with Robin boundary conditions

Ari Laptev, Hynek Kovarik, Tomas Ekholm

arxiv:1407.5518 v1 · 2014-07-21 · math.AP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JTFPDCWDEDNNSRW4KBKNL2JV7B}

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	2026-05-18T02:47:13.867519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ccaf18ac320dad946dc5054d5e935f87739ca96d4f65ae4d5606d89de6dadbc

Aliases

arxiv: 1407.5518 · arxiv_version: 1407.5518v1 · doi: 10.48550/arxiv.1407.5518 · pith_short_12: JTFPDCWDEDNN · pith_short_16: JTFPDCWDEDNNSRW4 · pith_short_8: JTFPDCWD

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/JTFPDCWDEDNNSRW4KBKNL2JV7B \
  | 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: 4ccaf18ac320dad946dc5054d5e935f87739ca96d4f65ae4d5606d89de6dadbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9e9fc7324870bd510a3824e59db78b837a3104b84361b58229b7ed54d731787",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-07-21T15:03:15Z",
    "title_canon_sha256": "f87695d60532422626f6953c2c7a59b2185c141ddf9b7b73d895437b29cdc179"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.5518",
    "kind": "arxiv",
    "version": 1
  }
}