Pith Number

pith:HNFQAAGB

pith:2026:HNFQAAGB5JBQXC7TN4EL7J6N2F

not attested not anchored not stored refs pending

Smoothing Exponents and Decoupling in Semifinite von Neumann Algebras

Hongsen Qiu, Xinyu Zhang, Zhiwen Lin

arxiv:2607.07997 v1 · 2026-07-09 · cs.IT · math.IT · math.OA · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HNFQAAGB5JBQXC7TN4EL7J6N2F}

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	2026-07-10T00:19:07.018406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b4b0000c1ea430b8bf36f08bfa7cdd16bcc751d6b03510146f0380cbb0c1ae0

Aliases

arxiv: 2607.07997 · arxiv_version: 2607.07997v1 · doi: 10.48550/arxiv.2607.07997 · pith_short_12: HNFQAAGB5JBQ · pith_short_16: HNFQAAGB5JBQXC7T · pith_short_8: HNFQAAGB

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/HNFQAAGB5JBQXC7TN4EL7J6N2F \
  | 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: 3b4b0000c1ea430b8bf36f08bfa7cdd16bcc751d6b03510146f0380cbb0c1ae0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f575bcc75c2f10084b77a624262676d18f036f8d5d0e4f5f7d6a16e0cf55be3",
    "cross_cats_sorted": [
      "math.IT",
      "math.OA",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2026-07-09T00:01:36Z",
    "title_canon_sha256": "b63bca5316ea078dcfef0203e15977415d3e084c8a2d77ab28d522cd12f6a6a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07997",
    "kind": "arxiv",
    "version": 1
  }
}