Pith Number

pith:D7JHJDA7

pith:2019:D7JHJDA7EB7TKBEJP3FJWDM4KJ

not attested not anchored not stored refs pending

Complete boundedness of multiple operator integrals

Cl\'ement Coine

arxiv:1908.07879 v1 · 2019-08-21 · 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{D7JHJDA7EB7TKBEJP3FJWDM4KJ}

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	2026-07-04T23:59:02.069127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fd2748c1f207f3504897eca9b0d9c527ea012f2bfc60e6045a0ecca1ce8ef02

Aliases

arxiv: 1908.07879 · arxiv_version: 1908.07879v1 · doi: 10.48550/arxiv.1908.07879 · pith_short_12: D7JHJDA7EB7T · pith_short_16: D7JHJDA7EB7TKBEJ · pith_short_8: D7JHJDA7

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/D7JHJDA7EB7TKBEJP3FJWDM4KJ \
  | 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: 1fd2748c1f207f3504897eca9b0d9c527ea012f2bfc60e6045a0ecca1ce8ef02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25a7e606ab50f1efd756347036601f6cbbc6378df19158a4041c667bc6422cc6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-08-21T14:04:16Z",
    "title_canon_sha256": "8802fbd5a4ca56f31e157b6d593040a7fa8972f0dad35768e2af724ab9cec42c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07879",
    "kind": "arxiv",
    "version": 1
  }
}