Pith Number

pith:IQQWFGRV

pith:2021:IQQWFGRVHXRHTB2M7ITKWVHNYO

not attested not anchored not stored refs pending

Complex symmetry of Toeplitz operators

Yile Zhao, Yong Chen, Young Joo Lee

arxiv:2107.06669 v1 · 2021-07-14 · math.FA · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IQQWFGRVHXRHTB2M7ITKWVHNYO}

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	2026-07-05T02:58:00.187138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4421629a353de279874cfa26ab54edc3882a24b31b43704ccdbfc7d66faece80

Aliases

arxiv: 2107.06669 · arxiv_version: 2107.06669v1 · doi: 10.48550/arxiv.2107.06669 · pith_short_12: IQQWFGRVHXRH · pith_short_16: IQQWFGRVHXRHTB2M · pith_short_8: IQQWFGRV

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/IQQWFGRVHXRHTB2M7ITKWVHNYO \
  | 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: 4421629a353de279874cfa26ab54edc3882a24b31b43704ccdbfc7d66faece80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad810fafa29d5150b40c8c8c70fc72d96f44afebb42ae294802285922bce572c",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2021-07-14T13:00:25Z",
    "title_canon_sha256": "63fb2a92b9c5d057bed45e85d334d5debbb57465af42a6b4568be0f30bda2547"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.06669",
    "kind": "arxiv",
    "version": 1
  }
}