Pith Number

pith:QLBOCJGK

pith:2020:QLBOCJGKPI6UZ32JMTAGPZIYVS

not attested not anchored not stored refs pending

Approximation of general 3-variable Jensen $\rho$-functional inequalities in complex Banach spaces

Choonkil Park, Gang Lu, Hanyue Qiao, Wenlong Sun, Yuanfeng Jin

arxiv:2012.15385 v1 · 2020-12-31 · 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{QLBOCJGKPI6UZ32JMTAGPZIYVS}

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	2026-07-05T02:03:17.966805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82c2e124ca7a3d4cef4964c067e518ac8343657d4ca93bf3d1ffd69614c201c6

Aliases

arxiv: 2012.15385 · arxiv_version: 2012.15385v1 · doi: 10.48550/arxiv.2012.15385 · pith_short_12: QLBOCJGKPI6U · pith_short_16: QLBOCJGKPI6UZ32J · pith_short_8: QLBOCJGK

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/QLBOCJGKPI6UZ32JMTAGPZIYVS \
  | 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: 82c2e124ca7a3d4cef4964c067e518ac8343657d4ca93bf3d1ffd69614c201c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e687971b7d599bedbe5349908810be8d09f1cf8b4227377a6bb16b5a342da02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2020-12-31T00:53:24Z",
    "title_canon_sha256": "324c30a6913461c2386486765727d8248071dbc39044cdc25c3bac71b59f6eb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.15385",
    "kind": "arxiv",
    "version": 1
  }
}