Pith Number

pith:R2UZ2K4S

pith:2013:R2UZ2K4SCHJBJUJUQJ3STXQBNZ

not attested not anchored not stored refs pending

On generalization of different type inequalities for ({\alpha},m)-convex functions via fractional integrals

Imdat Iscan

arxiv:1307.8291 v1 · 2013-07-31 · math.CA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R2UZ2K4SCHJBJUJUQJ3STXQBNZ}

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	2026-05-18T03:17:01.716160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ea99d2b9211d214d134827729de016e6b5243d4b8c4628329b2a6bcc5abcba0

Aliases

arxiv: 1307.8291 · arxiv_version: 1307.8291v1 · doi: 10.48550/arxiv.1307.8291 · pith_short_12: R2UZ2K4SCHJB · pith_short_16: R2UZ2K4SCHJBJUJU · pith_short_8: R2UZ2K4S

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/R2UZ2K4SCHJBJUJUQJ3STXQBNZ \
  | 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: 8ea99d2b9211d214d134827729de016e6b5243d4b8c4628329b2a6bcc5abcba0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "634079b6d326842a24f24f4d8052cc735e4827baa7ca5d60d3becf0e2e82571b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-07-31T11:46:24Z",
    "title_canon_sha256": "29119915a04cdde58c3787e06f94515abc62f4b302b80c8d7b742a909fc26f3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.8291",
    "kind": "arxiv",
    "version": 1
  }
}