Pith Number

pith:YNB2MEV6

pith:2026:YNB2MEV6G2VTAWCFVCPOJ6UAFD

not attested not anchored not stored refs pending

Hilbert transforms on graph products of finite von Neumann algebras

Runlian Xia, Xiao-Qi Lu

arxiv:2607.00194 v1 · 2026-06-30 · math.OA · 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{YNB2MEV6G2VTAWCFVCPOJ6UAFD}

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	2026-07-02T00:18:38.643305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c343a612be36ab305845a89ee4fa8028fba4c678e23a1c7406e1aa9e8d0e1a6e

Aliases

arxiv: 2607.00194 · arxiv_version: 2607.00194v1 · doi: 10.48550/arxiv.2607.00194 · pith_short_12: YNB2MEV6G2VT · pith_short_16: YNB2MEV6G2VTAWCF · pith_short_8: YNB2MEV6

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/YNB2MEV6G2VTAWCFVCPOJ6UAFD \
  | 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: c343a612be36ab305845a89ee4fa8028fba4c678e23a1c7406e1aa9e8d0e1a6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "999fe602c08a119ac21d50946135f0c4f783a2bd0f4971a50050d2ebac01c25f",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2026-06-30T21:18:45Z",
    "title_canon_sha256": "ed6bc3163f7fb20f2c64910e61f16a0fc3971dd9acc8dff414a70a4d9eaff0dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00194",
    "kind": "arxiv",
    "version": 1
  }
}