Pith Number

pith:5I6LBYGB

pith:2025:5I6LBYGBSOGNVNLOD235MVEGRB

not attested not anchored not stored refs pending

On Relative Biexactness of Amalgamated Free Product von Neumann Algebras

Kai Toyosawa, Zhiyuan Yang

arxiv:2505.19508 v2 · 2025-05-26 · 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{5I6LBYGBSOGNVNLOD235MVEGRB}

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	2026-07-05T11:55:19.578637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea3cb0e0c1938cdab56e1eb7d65486884009ccc3d48c3b788c53e3c4fcf2ab1a

Aliases

arxiv: 2505.19508 · arxiv_version: 2505.19508v2 · doi: 10.48550/arxiv.2505.19508 · pith_short_12: 5I6LBYGBSOGN · pith_short_16: 5I6LBYGBSOGNVNLO · pith_short_8: 5I6LBYGB

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/5I6LBYGBSOGNVNLOD235MVEGRB \
  | 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: ea3cb0e0c1938cdab56e1eb7d65486884009ccc3d48c3b788c53e3c4fcf2ab1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e80f758caf09a0e7e77c2593a162b7bafae11bb4652ad200557657484cbfd650",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2025-05-26T04:39:15Z",
    "title_canon_sha256": "009f3b9c087e4ef22b7a461b22225cf4543bc106ca2f9700a970e23c30f9f729"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.19508",
    "kind": "arxiv",
    "version": 2
  }
}