Pith Number

pith:JOLCAGKP

pith:2016:JOLCAGKPZD3JCTNSLLJ33RG7O3

not attested not anchored not stored refs pending

Multipolar Hardy inequalities on Riemannian manifolds

Alexandru Krist\'aly, Csaba Farkas, Francesca Faraci

arxiv:1609.01080 v3 · 2016-09-05 · 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{JOLCAGKPZD3JCTNSLLJ33RG7O3}

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	2026-05-18T00:36:39.281089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b9620194fc8f6914db25ad3bdc4df76c9707aabd388a4b5a05a3420693b714a

Aliases

arxiv: 1609.01080 · arxiv_version: 1609.01080v3 · doi: 10.48550/arxiv.1609.01080 · pith_short_12: JOLCAGKPZD3J · pith_short_16: JOLCAGKPZD3JCTNS · pith_short_8: JOLCAGKP

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/JOLCAGKPZD3JCTNSLLJ33RG7O3 \
  | 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: 4b9620194fc8f6914db25ad3bdc4df76c9707aabd388a4b5a05a3420693b714a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17a9614740500ae865f990ade9fee7c590c7b2ebbd3719f9ab272dccda3cd902",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-09-05T10:04:56Z",
    "title_canon_sha256": "97f022d095399bba3828a61df8423b38ec924f69a63e58dac54ee14c3fb2b599"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01080",
    "kind": "arxiv",
    "version": 3
  }
}