Pith Number

pith:E3KNNNHI

pith:2017:E3KNNNHI36KU4KRLGE4XNTOOZF

not attested not anchored not stored refs pending

Unperforated pairs of operator spaces and hyperrigidity of operator systems

Rapha\"el Clou\^atre

arxiv:1706.08411 v3 · 2017-06-26 · math.OA · 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{E3KNNNHI36KU4KRLGE4XNTOOZF}

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	2026-05-18T00:22:20.922994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26d4d6b4e8df954e2a2b313976cdcec961d2393f7f4b8fa91d43a404709d5c54

Aliases

arxiv: 1706.08411 · arxiv_version: 1706.08411v3 · doi: 10.48550/arxiv.1706.08411 · pith_short_12: E3KNNNHI36KU · pith_short_16: E3KNNNHI36KU4KRL · pith_short_8: E3KNNNHI

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/E3KNNNHI36KU4KRLGE4XNTOOZF \
  | 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: 26d4d6b4e8df954e2a2b313976cdcec961d2393f7f4b8fa91d43a404709d5c54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b263692b2ad885e560dacb5690daa42a58416b93f26a595d3f8099e78e1241b",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-06-26T14:39:08Z",
    "title_canon_sha256": "b22ede262aa0eb847ccac7ffbba6dbcd645c0c03a141019a640b5d40aeb90480"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.08411",
    "kind": "arxiv",
    "version": 3
  }
}