Pith Number

pith:5FTQPSEO

pith:2015:5FTQPSEOQOAKFOHO77EFWP7JNL

not attested not anchored not stored refs pending

Parameterized Yang-Hilbert-Type Integral Inequalities and Their Operator Expressions

Bicheng Yang, Michael Th. Rassias

arxiv:1512.04069 v1 · 2015-12-13 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5FTQPSEOQOAKFOHO77EFWP7JNL}

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	2026-05-18T01:24:23.209847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e96707c88e8380a2b8eeffc85b3fe96ac133e61383d358b00e2281ffd7d1eefc

Aliases

arxiv: 1512.04069 · arxiv_version: 1512.04069v1 · doi: 10.48550/arxiv.1512.04069 · pith_short_12: 5FTQPSEOQOAK · pith_short_16: 5FTQPSEOQOAKFOHO · pith_short_8: 5FTQPSEO

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/5FTQPSEOQOAKFOHO77EFWP7JNL \
  | 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: e96707c88e8380a2b8eeffc85b3fe96ac133e61383d358b00e2281ffd7d1eefc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fff8c7d9b5789e1c0b1079df41ea8b3e937f482fa1b02baf138d2221ca236c38",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-12-13T15:35:34Z",
    "title_canon_sha256": "2dde14a65a0b386343b02208239736e480217cc5f7878a4936a94dbc99a5bc36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04069",
    "kind": "arxiv",
    "version": 1
  }
}