Pith Number

pith:4SHGQSNX

pith:2016:4SHGQSNXTBGSWJUR7RQEELFZRR

not attested not anchored not stored refs pending

The case of equality in H\"older's inequality for matrices and operators

Gabriel Larotonda

arxiv:1605.05377 v2 · 2016-05-17 · math.OA · 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{4SHGQSNXTBGSWJUR7RQEELFZRR}

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	2026-05-18T01:03:11.824359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e48e6849b7984d2b2691fc60422cb98c6e019bffc83905103df9b973e295d451

Aliases

arxiv: 1605.05377 · arxiv_version: 1605.05377v2 · doi: 10.48550/arxiv.1605.05377 · pith_short_12: 4SHGQSNXTBGS · pith_short_16: 4SHGQSNXTBGSWJUR · pith_short_8: 4SHGQSNX

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/4SHGQSNXTBGSWJUR7RQEELFZRR \
  | 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: e48e6849b7984d2b2691fc60422cb98c6e019bffc83905103df9b973e295d451

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1607e7da018a57e247046b69a45733dd4cbb30623f69494d0cb495c5f8aba8e",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-05-17T21:44:43Z",
    "title_canon_sha256": "f0230cc9c29bd458d3fea84e12e6cecee3185f11e6951d78bc8c4975a2c3ea23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.05377",
    "kind": "arxiv",
    "version": 2
  }
}