Pith Number

pith:SXCAHTOC

pith:2017:SXCAHTOCWDUW3M4YRNKOXLASBW

not attested not anchored not stored refs pending

Gruss-type inequality by mean of a fractional integral

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

arxiv:1705.00965 v3 · 2017-04-28 · 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{SXCAHTOCWDUW3M4YRNKOXLASBW}

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	2026-05-18T00:42:04.558832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95c403cdc2b0e96db3988b54ebac120dbf5fff55e7600071d3366dce1e781cb9

Aliases

arxiv: 1705.00965 · arxiv_version: 1705.00965v3 · doi: 10.48550/arxiv.1705.00965 · pith_short_12: SXCAHTOCWDUW · pith_short_16: SXCAHTOCWDUW3M4Y · pith_short_8: SXCAHTOC

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/SXCAHTOCWDUW3M4YRNKOXLASBW \
  | 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: 95c403cdc2b0e96db3988b54ebac120dbf5fff55e7600071d3366dce1e781cb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "476ce3f2d2e5ab377e655425a295ae1d588eb3ccfbff1e41fd2c34d56ecb07e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-04-28T02:51:42Z",
    "title_canon_sha256": "1597996f29e9b809735031ec874d036b4f6cba6c0f991e7e6e13ec5f7bd7946a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.00965",
    "kind": "arxiv",
    "version": 3
  }
}