Pith Number

pith:GTK5JDCY

pith:2014:GTK5JDCYDK7DO3DFGYPJ2COZSF

not attested not anchored not stored refs pending

On generalization of different type inequalities for harmonically quasi-convex functions via fractional integrals

\.Imdat \.Iscan

arxiv:1401.2946 v1 · 2014-01-07 · 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{GTK5JDCYDK7DO3DFGYPJ2COZSF}

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	2026-05-18T03:02:31.456231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34d5d48c581abe376c65361e9d09d991542adaeec117baea4c2901b4e0df04d4

Aliases

arxiv: 1401.2946 · arxiv_version: 1401.2946v1 · doi: 10.48550/arxiv.1401.2946 · pith_short_12: GTK5JDCYDK7D · pith_short_16: GTK5JDCYDK7DO3DF · pith_short_8: GTK5JDCY

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/GTK5JDCYDK7DO3DFGYPJ2COZSF \
  | 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: 34d5d48c581abe376c65361e9d09d991542adaeec117baea4c2901b4e0df04d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb35f8f0324315789b976fa484508348ae9b7453c188ea940fbbb1cff9159b5e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-01-07T17:28:44Z",
    "title_canon_sha256": "bacc5443c9a71dc926b29aefb8ca9765604aa7258835e457b1ad848ca54e1efb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.2946",
    "kind": "arxiv",
    "version": 1
  }
}