Pith Number

pith:L5Z5N76F

pith:2013:L5Z5N76FENJWCKHWUZHQYLKJ5H

not attested not anchored not stored refs pending

Toeplitzness of composition operators in several variables

Trieu Le, Zeljko Cuckovic

arxiv:1308.2214 v1 · 2013-08-09 · 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{L5Z5N76FENJWCKHWUZHQYLKJ5H}

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	2026-05-18T03:16:17.954930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f73d6ffc523536128f6a64f0c2d49e9ca13c171283c03b755f243a0ffa265df

Aliases

arxiv: 1308.2214 · arxiv_version: 1308.2214v1 · doi: 10.48550/arxiv.1308.2214 · pith_short_12: L5Z5N76FENJW · pith_short_16: L5Z5N76FENJWCKHW · pith_short_8: L5Z5N76F

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/L5Z5N76FENJWCKHWUZHQYLKJ5H \
  | 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: 5f73d6ffc523536128f6a64f0c2d49e9ca13c171283c03b755f243a0ffa265df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dfbccf2bce35d45041e5bd7549d75d57c0bd04759dca9fbf49d90ef1c17387b",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-08-09T19:39:00Z",
    "title_canon_sha256": "85f1844bbe3324baedf0b621a8eca4e88c3ca0355821986d030b565861525422"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2214",
    "kind": "arxiv",
    "version": 1
  }
}