Pith Number

pith:ZJ2S4BOY

pith:2013:ZJ2S4BOYT7O52LJA5YLI6SHGZ3

not attested not anchored not stored refs pending

Commutation relations for truncated Toeplitz operators

Dan Timotin, Isabelle Chalendar

arxiv:1305.6739 v1 · 2013-05-29 · 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{ZJ2S4BOYT7O52LJA5YLI6SHGZ3}

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	2026-05-18T03:22:18.012628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca752e05d89fdddd2d20ee168f48e6cec88743bd4fb2df1d84a95bff577ff6ff

Aliases

arxiv: 1305.6739 · arxiv_version: 1305.6739v1 · doi: 10.48550/arxiv.1305.6739 · pith_short_12: ZJ2S4BOYT7O5 · pith_short_16: ZJ2S4BOYT7O52LJA · pith_short_8: ZJ2S4BOY

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/ZJ2S4BOYT7O52LJA5YLI6SHGZ3 \
  | 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: ca752e05d89fdddd2d20ee168f48e6cec88743bd4fb2df1d84a95bff577ff6ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a5899b8cb7094aede96ded9f90fea30d32b0f49a2fd733d9e6b01d08dfcb30a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-05-29T09:37:45Z",
    "title_canon_sha256": "04a038f2f79de81f1a89026d45541560c788b20f9922e92faf3a9ed8301663e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6739",
    "kind": "arxiv",
    "version": 1
  }
}