Pith Number

pith:R7PR2ITO

pith:2015:R7PR2ITOUZ4IHPX4AO2SECR5WW

not attested not anchored not stored refs pending

Weighted Hardy inequality on Riemannian manifolds

El Hadji Abdoulaye Thiam

arxiv:1504.00972 v2 · 2015-04-04 · 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{R7PR2ITOUZ4IHPX4AO2SECR5WW}

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	2026-05-18T01:27:05.361203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fdf1d226ea67883befc03b5220a3db5b755e4e2fd0305c018185c65a11c6276

Aliases

arxiv: 1504.00972 · arxiv_version: 1504.00972v2 · doi: 10.48550/arxiv.1504.00972 · pith_short_12: R7PR2ITOUZ4I · pith_short_16: R7PR2ITOUZ4IHPX4 · pith_short_8: R7PR2ITO

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/R7PR2ITOUZ4IHPX4AO2SECR5WW \
  | 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: 8fdf1d226ea67883befc03b5220a3db5b755e4e2fd0305c018185c65a11c6276

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dc89252fd14fc6fc534b2554a1dedfd34069118d18ea179ea419942d1fca4e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-04-04T02:31:27Z",
    "title_canon_sha256": "71445677ded43161ff53afb58746381a84165240282c628e94be4054d25ab17d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.00972",
    "kind": "arxiv",
    "version": 2
  }
}