Pith Number

pith:SQDIHKS3

pith:2011:SQDIHKS3QD6H6VTSPKOQXOK6AD

not attested not anchored not stored refs pending

Minimal and maximal $p$-operator space structures

Nico Spronk, Serap Oztop

arxiv:1112.4884 v3 · 2011-12-20 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SQDIHKS3QD6H6VTSPKOQXOK6AD}

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	2026-05-18T03:51:23.539840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

940683aa5b80fc7f56727a9d0bb95e00e9eb5ad54497f9d9d0a9aefc841c375c

Aliases

arxiv: 1112.4884 · arxiv_version: 1112.4884v3 · doi: 10.48550/arxiv.1112.4884 · pith_short_12: SQDIHKS3QD6H · pith_short_16: SQDIHKS3QD6H6VTS · pith_short_8: SQDIHKS3

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/SQDIHKS3QD6H6VTSPKOQXOK6AD \
  | 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: 940683aa5b80fc7f56727a9d0bb95e00e9eb5ad54497f9d9d0a9aefc841c375c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06b4022cbbdfa7f1b97a4b74d2990cd64623f1de8fca70249f9489a47e6bbab1",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-12-20T23:31:36Z",
    "title_canon_sha256": "863e7b2cd9b738a0967256eb416e7cee92dea69b4884c40e1dfef70b81585545"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4884",
    "kind": "arxiv",
    "version": 3
  }
}