Pith Number

pith:NXBC5JBF

pith:2021:NXBC5JBFMYMPCILVURI5ZPNL6G

not attested not anchored not stored refs pending

The sharp second order Caffareli-Kohn-Nirenberg inequality and stability estimates for the sharp second order uncertainty principle

Anh Tuan Duong, Van Hoang Nguyen

arxiv:2102.01425 v2 · 2021-02-02 · math.FA · math.AP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NXBC5JBFMYMPCILVURI5ZPNL6G}

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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.

Cited by

1 paper in Pith

On the extremal functions of second order uncertainty principles: symmetry and symmetry breaking

Receipt and verification

First computed	2026-07-05T03:59:37.847594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6dc22ea4256618f12175a451dcbdabf1b573e61b403e4bbfe475dae74dea668e

Aliases

arxiv: 2102.01425 · arxiv_version: 2102.01425v2 · doi: 10.48550/arxiv.2102.01425 · pith_short_12: NXBC5JBFMYMP · pith_short_16: NXBC5JBFMYMPCILV · pith_short_8: NXBC5JBF

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/NXBC5JBFMYMPCILVURI5ZPNL6G \
  | 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: 6dc22ea4256618f12175a451dcbdabf1b573e61b403e4bbfe475dae74dea668e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "075754d1c01b69b1079b2c9934724d8807fc239df5423416d6601d4e1134eded",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2021-02-02T10:39:39Z",
    "title_canon_sha256": "7592bb4b6406be0c608f56906a7f90cf4f417a5fa706e0f860913c46ff11f728"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.01425",
    "kind": "arxiv",
    "version": 2
  }
}