Pith Number

pith:CZZDN5JP

pith:2018:CZZDN5JPY2V6L2FXNNDSO5K7UP

not attested not anchored not stored refs pending

Poincar\'e-type inequalities in Musielak spaces

Ahmed Youssfi, Youssef Ahmida

arxiv:1808.00753 v1 · 2018-08-02 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CZZDN5JPY2V6L2FXNNDSO5K7UP}

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	2026-05-18T00:09:03.511244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

167236f52fc6abe5e8b76b4727755fa3c582dd1dd9a69f54efa1194f36940bb3

Aliases

arxiv: 1808.00753 · arxiv_version: 1808.00753v1 · doi: 10.48550/arxiv.1808.00753 · pith_short_12: CZZDN5JPY2V6 · pith_short_16: CZZDN5JPY2V6L2FX · pith_short_8: CZZDN5JP

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/CZZDN5JPY2V6L2FXNNDSO5K7UP \
  | 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: 167236f52fc6abe5e8b76b4727755fa3c582dd1dd9a69f54efa1194f36940bb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87c02e923125d5b8a2217da7381baefd534526bae20607db6df59739f8d05581",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-08-02T10:33:12Z",
    "title_canon_sha256": "3b6cc28b3f240406335fc8cb444fce85b068c403165b212c4acbf611b50d321f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.00753",
    "kind": "arxiv",
    "version": 1
  }
}