Pith Number

pith:7TGKH5WR

pith:2015:7TGKH5WRTGCIVQ4SY2VAEFP7CO

not attested not anchored not stored refs pending

A More Accurate Half-Discrete Hardy-Hilbert-Type Inequality with the Best Possible Constant Factor Related to the Extended Riemann-Zeta Function

Bicheng Yang, Michael Th. Rassias

arxiv:1512.04063 v1 · 2015-12-13 · 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{7TGKH5WRTGCIVQ4SY2VAEFP7CO}

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	2026-05-18T01:24:23.218281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fccca3f6d199848ac392c6aa0215ff1393200cfbe5a8c64821d88ad9f9baa0ba

Aliases

arxiv: 1512.04063 · arxiv_version: 1512.04063v1 · doi: 10.48550/arxiv.1512.04063 · pith_short_12: 7TGKH5WRTGCI · pith_short_16: 7TGKH5WRTGCIVQ4S · pith_short_8: 7TGKH5WR

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/7TGKH5WRTGCIVQ4SY2VAEFP7CO \
  | 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: fccca3f6d199848ac392c6aa0215ff1393200cfbe5a8c64821d88ad9f9baa0ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bc19135aebb52ceec18d0b4a96af9f7a75c7dd51c4e58798a6c331a95ce4c91",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-12-13T15:09:51Z",
    "title_canon_sha256": "b2427f65f5dd29f872887b0c19cd36ef207f56f34a9f67493ac3a398751d1d18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04063",
    "kind": "arxiv",
    "version": 1
  }
}