Pith Number

pith:2GJ333VK

pith:2022:2GJ333VKL5KI2BJLDRMOCDZGP7

not attested not anchored not stored refs pending

The Cowen-Douglas Theory for Operator Tuples and Similarity

Hyun-Kyoung Kwon, Jing Xu, Kui Ji, Shanshan Ji

arxiv:2210.00209 v2 · 2022-10-01 · 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{2GJ333VKL5KI2BJLDRMOCDZGP7}

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	2026-07-05T05:23:21.837737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d193bdeeaa5f548d052b1c58e10f267fcdeb6a12ef027b254ba31b75f9762bcc

Aliases

arxiv: 2210.00209 · arxiv_version: 2210.00209v2 · doi: 10.48550/arxiv.2210.00209 · pith_short_12: 2GJ333VKL5KI · pith_short_16: 2GJ333VKL5KI2BJL · pith_short_8: 2GJ333VK

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/2GJ333VKL5KI2BJLDRMOCDZGP7 \
  | 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: d193bdeeaa5f548d052b1c58e10f267fcdeb6a12ef027b254ba31b75f9762bcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "465c46ffa43cd3a340281ba02127510cd1a819ec167057ba4e23915a89d2ee77",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2022-10-01T07:00:52Z",
    "title_canon_sha256": "c2eed8dcb6f38a426114f32e55e6ea75e659631b0ee490a064b7f2edc61f02f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.00209",
    "kind": "arxiv",
    "version": 2
  }
}