Pith Number

pith:XYO6SGUZ

pith:2010:XYO6SGUZGM6ZMCLUMHQ7U66VDE

not attested not anchored not stored refs pending

Centralizers of Toeplitz operators with polynomial symbols

Akaki Tikaradze

arxiv:1008.2403 v2 · 2010-08-14 · 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{XYO6SGUZGM6ZMCLUMHQ7U66VDE}

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	2026-05-18T01:11:35.587546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be1de91a99333d96097461e1fa7bd519346283ae19a9a782e3f3eec7bc262cb6

Aliases

arxiv: 1008.2403 · arxiv_version: 1008.2403v2 · doi: 10.48550/arxiv.1008.2403 · pith_short_12: XYO6SGUZGM6Z · pith_short_16: XYO6SGUZGM6ZMCLU · pith_short_8: XYO6SGUZ

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/XYO6SGUZGM6ZMCLUMHQ7U66VDE \
  | 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: be1de91a99333d96097461e1fa7bd519346283ae19a9a782e3f3eec7bc262cb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5434f9d988dd6922cbcca26be8b7f7ec6ea8a005aa39ab43303d8ad36b551891",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-08-14T00:06:59Z",
    "title_canon_sha256": "3be55bdded80b9f51d18b7917f90cb0f159a5930a60df138846490df1ec5c96e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2403",
    "kind": "arxiv",
    "version": 2
  }
}