Pith Number

pith:WWAQJ4JC

pith:2017:WWAQJ4JCQWBCTVH374YUGLAQHR

not attested not anchored not stored refs pending

Schur multipliers on $\mathcal{B}(L^p,L^q)$

Cl\'ement Coine

arxiv:1703.08128 v1 · 2017-03-23 · 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{WWAQJ4JCQWBCTVH374YUGLAQHR}

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	2026-05-18T00:48:03.800908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b58104f122858229d4fbff31432c103c6d6b3e42714c2bbd32cb4f4cbc8916c4

Aliases

arxiv: 1703.08128 · arxiv_version: 1703.08128v1 · doi: 10.48550/arxiv.1703.08128 · pith_short_12: WWAQJ4JCQWBC · pith_short_16: WWAQJ4JCQWBCTVH3 · pith_short_8: WWAQJ4JC

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/WWAQJ4JCQWBCTVH374YUGLAQHR \
  | 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: b58104f122858229d4fbff31432c103c6d6b3e42714c2bbd32cb4f4cbc8916c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "232dc6c32df5acbaa23eecac0050ed56ac57d75e5f3ddb92507d8a6ad5df97a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-03-23T16:17:27Z",
    "title_canon_sha256": "507eb504d4013ddfc1b088330c4e8712a00f5a860f21b099adf94b4fa3689f14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.08128",
    "kind": "arxiv",
    "version": 1
  }
}