Pith Number

pith:BX33RNC7

pith:2017:BX33RNC72TBHQ2NOPIYAZX263K

not attested not anchored not stored refs pending

Commutants of Toeplitz Operators with Harmonic Symbols

Akaki Tikaradze, Trieu Le

arxiv:1706.01510 v1 · 2017-06-05 · 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{BX33RNC72TBHQ2NOPIYAZX263K}

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	2026-05-18T00:42:56.825503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0df7b8b45fd4c27869ae7a300cdf5eda97dfb01d9df7518bc8c9d1481e401a17

Aliases

arxiv: 1706.01510 · arxiv_version: 1706.01510v1 · doi: 10.48550/arxiv.1706.01510 · pith_short_12: BX33RNC72TBH · pith_short_16: BX33RNC72TBHQ2NO · pith_short_8: BX33RNC7

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/BX33RNC72TBHQ2NOPIYAZX263K \
  | 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: 0df7b8b45fd4c27869ae7a300cdf5eda97dfb01d9df7518bc8c9d1481e401a17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "189f4b9a3ef9d31a08e2cd04d043e19a2dfc7ec9842af2c07d375b7f3de647ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-06-05T19:26:06Z",
    "title_canon_sha256": "4aa5ba83348331597665130e4d83281387c80a6f25a934651ff95d1824d3dfe1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.01510",
    "kind": "arxiv",
    "version": 1
  }
}