Pith Number

pith:5AMX3BIR

pith:2017:5AMX3BIRERBTI2TG7RMS3GSGHF

not attested not anchored not stored refs pending

A sharp nonlinear Hausdorff-Young inequality for small potentials

Diogo Oliveira e Silva, Jelena Rup\v{c}i\'c, Vjekoslav Kova\v{c}

arxiv:1703.05557 v2 · 2017-03-16 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5AMX3BIRERBTI2TG7RMS3GSGHF}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-17T23:55:01.282030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8197d85112443346a66fc592d9a463961b7404ae04715e593a5d2b7a481f003

Aliases

arxiv: 1703.05557 · arxiv_version: 1703.05557v2 · doi: 10.48550/arxiv.1703.05557 · pith_short_12: 5AMX3BIRERBT · pith_short_16: 5AMX3BIRERBTI2TG · pith_short_8: 5AMX3BIR

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/5AMX3BIRERBTI2TG7RMS3GSGHF \
  | 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: e8197d85112443346a66fc592d9a463961b7404ae04715e593a5d2b7a481f003

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1ed562d2e460cef59545bf8cd237acc66bca5f6ac71109fa161590a31251481",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-03-16T10:56:39Z",
    "title_canon_sha256": "e2a8d9a223e3eda72d2bdbb0aa7a42fffd7569d23d531eb2fbdf8ee4a72efa9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.05557",
    "kind": "arxiv",
    "version": 2
  }
}