Pith Number

pith:SADTRCKQ

pith:2016:SADTRCKQXA2P3GOX753M2UI4YI

not attested not anchored not stored refs pending

Multiple operator integrals, Haagerup and Haagerup-like tensor products, and operator ideals

Alexei Aleksandrov, Vladimir Peller

arxiv:1603.04910 v1 · 2016-03-15 · math.FA · math.CA · math.CV · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SADTRCKQXA2P3GOX753M2UI4YI}

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	2026-05-18T00:42:55.610379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9007388950b834fd99d7ff76cd511cc2088c173cdc26de5cd890162036d51ee9

Aliases

arxiv: 1603.04910 · arxiv_version: 1603.04910v1 · doi: 10.48550/arxiv.1603.04910 · pith_short_12: SADTRCKQXA2P · pith_short_16: SADTRCKQXA2P3GOX · pith_short_8: SADTRCKQ

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/SADTRCKQXA2P3GOX753M2UI4YI \
  | 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: 9007388950b834fd99d7ff76cd511cc2088c173cdc26de5cd890162036d51ee9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7043b0b62ea249736e2a7e2caf81f2ef9dee13e4beb7c940d1ed235676fdaa60",
    "cross_cats_sorted": [
      "math.CA",
      "math.CV",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-03-15T22:35:53Z",
    "title_canon_sha256": "8c974eb48e5bc527b92af2a23a3c043d6b20b747596ed032c06ce266b1e5761d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04910",
    "kind": "arxiv",
    "version": 1
  }
}