Pith Number

pith:HISDSGFE

pith:2010:HISDSGFE2622QXPWUNS5ZT5XTX

not attested not anchored not stored refs pending

Generalized Young and Cauchy--Bunyakowsky Inequalities with Applications: a survey

Sergei M. Sitnik

arxiv:1012.3864 v1 · 2010-12-17 · 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{HISDSGFE2622QXPWUNS5ZT5XTX}

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	2026-05-18T04:33:03.735247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a243918a4d7b5a85df6a365dccfb79ddd91285442713f32601c737532ed7705

Aliases

arxiv: 1012.3864 · arxiv_version: 1012.3864v1 · doi: 10.48550/arxiv.1012.3864 · pith_short_12: HISDSGFE2622 · pith_short_16: HISDSGFE2622QXPW · pith_short_8: HISDSGFE

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/HISDSGFE2622QXPWUNS5ZT5XTX \
  | 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: 3a243918a4d7b5a85df6a365dccfb79ddd91285442713f32601c737532ed7705

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a245517e8139f242a2b0642b7d7ef9058126b38cf49bb14b9d2f971f994f15f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-12-17T12:30:08Z",
    "title_canon_sha256": "aee25eb13a968b4496d8613f05a0dfaad22696e1031f0a6962d4ff6d3b724ddb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3864",
    "kind": "arxiv",
    "version": 1
  }
}