Pith Number

pith:GMHEVWMP

pith:2019:GMHEVWMP65V5LQV2HB62CVU5YU

not attested not anchored not stored refs pending

Operator versions of H\"older inequality and Hilbert $C^*$-modules

Dragoljub J. Ke\v{c}ki\'c

arxiv:1907.00369 v1 · 2019-06-30 · 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{GMHEVWMP65V5LQV2HB62CVU5YU}

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	2026-05-17T23:41:51.977910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

330e4ad98ff76bd5c2ba387da1569dc51d4ee34553d262709b82cc8201e6af8e

Aliases

arxiv: 1907.00369 · arxiv_version: 1907.00369v1 · doi: 10.48550/arxiv.1907.00369 · pith_short_12: GMHEVWMP65V5 · pith_short_16: GMHEVWMP65V5LQV2 · pith_short_8: GMHEVWMP

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/GMHEVWMP65V5LQV2HB62CVU5YU \
  | 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: 330e4ad98ff76bd5c2ba387da1569dc51d4ee34553d262709b82cc8201e6af8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffa7a81e4a70789511f10a92e824483a9aa205b792a5ae628d0ca81e3783fd81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-06-30T11:58:17Z",
    "title_canon_sha256": "229678e0e0773c5d3afbedac142ed1babc9eb518521c50d29d1a1471f4984471"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.00369",
    "kind": "arxiv",
    "version": 1
  }
}