Pith Number

pith:PMJ4E7DR

pith:2017:PMJ4E7DRU7BJOVL4YF6DOQSNL7

not attested not anchored not stored refs pending

The Minkowski's inequality by means of a generalized fractional integral

E. Capelas de Oliveira, J. Vanterler da C. Sousa

arxiv:1705.07191 v1 · 2017-05-10 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PMJ4E7DRU7BJOVL4YF6DOQSNL7}

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	2026-05-18T00:44:06.352364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b13c27c71a7c297557cc17c37424d5fdd079a83471f88d2771bc06ee10fe612

Aliases

arxiv: 1705.07191 · arxiv_version: 1705.07191v1 · doi: 10.48550/arxiv.1705.07191 · pith_short_12: PMJ4E7DRU7BJ · pith_short_16: PMJ4E7DRU7BJOVL4 · pith_short_8: PMJ4E7DR

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/PMJ4E7DRU7BJOVL4YF6DOQSNL7 \
  | 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: 7b13c27c71a7c297557cc17c37424d5fdd079a83471f88d2771bc06ee10fe612

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "443505fc863837e70486a07a7fedc8b569f5cb495594f902d8f97b37ea3b364a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-05-10T19:29:49Z",
    "title_canon_sha256": "791a75a93b993e38bb8aa1305717482e54ffd2f6c3a19100aefb064cafbbe397"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.07191",
    "kind": "arxiv",
    "version": 1
  }
}