Pith Number

pith:KEZHA4XZ

pith:2026:KEZHA4XZX43WM5D22PZLILUIVZ

not attested not anchored not stored refs pending

Product of Volterra-Type Integral and Composition Operators on Quaternionic Fock Spaces

Chao Zu, Yufeng Lu, Zhaopeng Lin

arxiv:2606.06182 v1 · 2026-06-04 · 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{KEZHA4XZX43WM5D22PZLILUIVZ}

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	2026-06-05T01:15:36.503163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51327072f9bf3766747ad3f2b42e88ae78e58074c737e3d05c7bfa9fb2c6ec25

Aliases

arxiv: 2606.06182 · arxiv_version: 2606.06182v1 · doi: 10.48550/arxiv.2606.06182 · pith_short_12: KEZHA4XZX43W · pith_short_16: KEZHA4XZX43WM5D2 · pith_short_8: KEZHA4XZ

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/KEZHA4XZX43WM5D22PZLILUIVZ \
  | 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: 51327072f9bf3766747ad3f2b42e88ae78e58074c737e3d05c7bfa9fb2c6ec25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c27b1948c270b0156de2ee2448c2bd4e18229e1ba85cffa8d7be5b87c3b5185",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-06-04T13:54:49Z",
    "title_canon_sha256": "885860b5d626e8ae66b6215823b7a5e42a8c7345f24e19d5cd228a3ced5e44ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06182",
    "kind": "arxiv",
    "version": 1
  }
}