Pith Number

pith:AOVLD4VJ

pith:2017:AOVLD4VJLYH6BJCVR5LB4QU4JJ

not attested not anchored not stored refs pending

A note on relative amenable of finite von Neumann algebras

Junsheng Fang, Xiaoyan Zhou

arxiv:1705.09018 v3 · 2017-05-25 · 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{AOVLD4VJLYH6BJCVR5LB4QU4JJ}

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	2026-05-18T00:06:41.857066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03aab1f2a95e0fe0a4558f561e429c4a7ad74bbf08406f66cd396b9e7cca391b

Aliases

arxiv: 1705.09018 · arxiv_version: 1705.09018v3 · doi: 10.48550/arxiv.1705.09018 · pith_short_12: AOVLD4VJLYH6 · pith_short_16: AOVLD4VJLYH6BJCV · pith_short_8: AOVLD4VJ

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/AOVLD4VJLYH6BJCVR5LB4QU4JJ \
  | 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: 03aab1f2a95e0fe0a4558f561e429c4a7ad74bbf08406f66cd396b9e7cca391b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11a79610a3e8cdf6e7d3b3041e0503c146080d42a2220bee4be2144d0b19bc2f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-05-25T01:43:57Z",
    "title_canon_sha256": "16fa746ba89200eb7ac02995644e6c74f3fb474c5a0cd89a8d73ee71ba65fcfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.09018",
    "kind": "arxiv",
    "version": 3
  }
}