Pith Number

pith:MILM227T

pith:2025:MILM227T3JCL7DBGOW5W2NKB4L

not attested not anchored not stored refs pending

A local quantization principle for inclusions of tracial von Neumann algebras

Chunlan Jiang, Junsheng Fang, Xinyan Cao, Zhaolin Yao

arxiv:2507.04244 v1 · 2025-07-06 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MILM227T3JCL7DBGOW5W2NKB4L}

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	2026-07-05T11:33:06.256279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6216cd6bf3da44bf8c2675bb6d3541e2f68023ec8f794390214460bc05d7015b

Aliases

arxiv: 2507.04244 · arxiv_version: 2507.04244v1 · doi: 10.48550/arxiv.2507.04244 · pith_short_12: MILM227T3JCL · pith_short_16: MILM227T3JCL7DBG · pith_short_8: MILM227T

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/MILM227T3JCL7DBGOW5W2NKB4L \
  | 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: 6216cd6bf3da44bf8c2675bb6d3541e2f68023ec8f794390214460bc05d7015b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65076a23aecddc587f7c3bee1e97c48e49a9c03dad4dffb59e6b61bca2c3d045",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2025-07-06T05:07:14Z",
    "title_canon_sha256": "7a78bd01343ead08f9680bef7771d17ed1d2f163244bbedfd2b3fd8d39a77cb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.04244",
    "kind": "arxiv",
    "version": 1
  }
}