Pith Number

pith:3HK76NWT

pith:2015:3HK76NWTG3PEW57W5OECKZLEKT

not attested not anchored not stored refs pending

Bohnenblust-Hille inequalities for Lorentz spaces via interpolation

Andreas Defant, Mieczys{\l}aw Masty{\l}o

arxiv:1508.05554 v1 · 2015-08-23 · 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{3HK76NWTG3PEW57W5OECKZLEKT}

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	2026-05-18T01:34:52.213283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9d5ff36d336de4b77f6eb8825656454c593848b1ac41516a65c3dd9784b8abe

Aliases

arxiv: 1508.05554 · arxiv_version: 1508.05554v1 · doi: 10.48550/arxiv.1508.05554 · pith_short_12: 3HK76NWTG3PE · pith_short_16: 3HK76NWTG3PEW57W · pith_short_8: 3HK76NWT

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/3HK76NWTG3PEW57W5OECKZLEKT \
  | 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: d9d5ff36d336de4b77f6eb8825656454c593848b1ac41516a65c3dd9784b8abe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd8cd5db84183ea242f68a6ca3693c615de6810157a12c89efb6493bffd0441f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-08-23T01:33:54Z",
    "title_canon_sha256": "1c9725ae0193f20dfec7688c4e40899fdb1c5eebb5d20a01335119d95fe8b133"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05554",
    "kind": "arxiv",
    "version": 1
  }
}