Pith Number

pith:JN6QI3UI

pith:2012:JN6QI3UI7ZP3SX4ROGAPRMPLNN

not attested not anchored not stored refs pending

Weighted Hardy inequality with higher dimensional singularity on the boundary

Fethi Mahmoudi, Mouhamed Moustapha Fall

arxiv:1202.0033 v2 · 2012-01-31 · 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{JN6QI3UI7ZP3SX4ROGAPRMPLNN}

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	2026-05-18T03:44:33.724911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b7d046e88fe5fb95f917180f8b1eb6b485351cbb2153049d4184c213b891c1a

Aliases

arxiv: 1202.0033 · arxiv_version: 1202.0033v2 · doi: 10.48550/arxiv.1202.0033 · pith_short_12: JN6QI3UI7ZP3 · pith_short_16: JN6QI3UI7ZP3SX4R · pith_short_8: JN6QI3UI

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/JN6QI3UI7ZP3SX4ROGAPRMPLNN \
  | 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: 4b7d046e88fe5fb95f917180f8b1eb6b485351cbb2153049d4184c213b891c1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23b3d955b332b290b1418307421fa30a6914b91251d4e0e9c7b884abc4840175",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-01-31T21:27:38Z",
    "title_canon_sha256": "3580b00e13694d8ec1425d71fa782ccaedc6a22b1eba0f158ea6538ad85f7fc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0033",
    "kind": "arxiv",
    "version": 2
  }
}