Pith Number

pith:THA66A5U

pith:2003:THA66A5UR2X3YYCYH5G35Z2MBU

not attested not anchored not stored refs pending

Partially Isometric Dilations of Noncommuting $N$-tuples of Operators

David W. Kribs, Michael T. Jury

arxiv:math/0309398 v1 · 2003-09-24 · 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{THA66A5UR2X3YYCYH5G35Z2MBU}

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	2026-07-04T14:50:34.475328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99c1ef03b48eafbc60583f4dbee74c0d13e647c2ae87bc14adcab457bcd9ae8d

Aliases

arxiv: math/0309398 · arxiv_version: math/0309398v1 · doi: 10.48550/arxiv.math/0309398 · pith_short_12: THA66A5UR2X3 · pith_short_16: THA66A5UR2X3YYCY · pith_short_8: THA66A5U

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/THA66A5UR2X3YYCYH5G35Z2MBU \
  | 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: 99c1ef03b48eafbc60583f4dbee74c0d13e647c2ae87bc14adcab457bcd9ae8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da330f15e93bd3d6583f6d285067b7971433e6dad4587279e282768f00adfa73",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2003-09-24T11:29:41Z",
    "title_canon_sha256": "0d808bd786fc5ebcafbaf265fada0296c6408b7374a4bf6a734a6f1ab752baa3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0309398",
    "kind": "arxiv",
    "version": 1
  }
}