Pith Number

pith:FOBT7BI5

pith:2004:FOBT7BI5KFQLEHIWEWXANLSTYK

not attested not anchored not stored refs pending

Isometric dilations of non-commuting finite rank $n$-tuples

David W. Kribs, Kenneth R. Davidson, Miron E. Shpigel

arxiv:math/0411521 v1 · 2004-11-23 · 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{FOBT7BI5KFQLEHIWEWXANLSTYK}

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	2026-07-04T14:39:24.064024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b833f851d5160b21d1625ae06ae53c29f0ffbbc98f8d18ab66f7dfa47d16299

Aliases

arxiv: math/0411521 · arxiv_version: math/0411521v1 · doi: 10.48550/arxiv.math/0411521 · pith_short_12: FOBT7BI5KFQL · pith_short_16: FOBT7BI5KFQLEHIW · pith_short_8: FOBT7BI5

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/FOBT7BI5KFQLEHIWEWXANLSTYK \
  | 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: 2b833f851d5160b21d1625ae06ae53c29f0ffbbc98f8d18ab66f7dfa47d16299

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85c9f918d21ca82e0fd0270f325dcff912e262d34fc01cd06de6561d7e98296b",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2004-11-23T19:16:31Z",
    "title_canon_sha256": "0f96d27c9560dfb1a06d9e59ac6f6c3cb41dbfbbf45fc67ed5ac372ece5bf2d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0411521",
    "kind": "arxiv",
    "version": 1
  }
}